WaltonFuture/multimodal-reasoning-mixed1 · Datasets at Hugging Face

images images listlengths 1 1	problem stringlengths 7 719	answer stringlengths 0 273
	<image>In the provided diagram, triangle ABC is depicted with points D and E as the midpoints of BC and AD respectively. Point F lies on segment BE, where EF is twice the length of BF. If triangle BCF has an area of 2 square centimeters, what is the area of triangle ABC?	12cm2
	<image>Express the ratio of \tan A as a decimal to the nearest hundredth.	1.33
	<image>What moon phase comes after the first quarter? Choices: waxing gibbous full moon new moon waxing crescent	waxing crescent
	<image>Find x Choices: 21.1 23.4 38.4 45.3	38.4
	<image>$RP=3.5$ and $JP=9$. Find $PL$. Choices: 3.5 4.5 7 9	7
	<image>What is the minimum length of the diagonal OB in parallelogram OABC, where vertices A and C lie on the straight lines x = 1.0 and x = 4.0, respectively, and O is the origin of the coordinate system?	5
	<image>Find x to the nearest tenth.	150
	<image>If the height of the net is 0.8 and Xiao Ming's hitting height is 2.4, what is the distance she should stand away from the net to ensure the ball lands 5.0 units beyond the net in her opponent's area when playing tennis?	10米处
	<image>In the provided diagram, where AB is equal to AC and measures 10 units, and BC measures 6 units, arcs with a length greater than 0.5 times the length of AB are drawn with points A and B as their centers. These two arcs intersect at points M and N. Line MN intersects line AC at point D. What is the perimeter of triangle BDC?	16
	<image>What is the measure of angle P if PA and PB are tangents to circle O, A and B are the points of tangency, AC is the diameter of the circle, and angle BAC measures 25.5 degrees?	51°
	<image>Find $m \widehat {WX}$. Choices: 57 63 66 68	66
	<image>Circles G, J, and K all intersect at L. If G H = 10, find G L.	10
	<image>Question: Which of these oceans does the prime meridian intersect? Choices: A. the Arctic Ocean B. the Pacific Ocean C. the Indian Ocean	A
	<image>In the figure, m \angle 3 = 110 and m \angle 12 = 55. Find the measure of \angle 15.	55
	<image>In the given diagram, in circle O, the tangent CD touches the circle at point D. The line CO intersects circle O at points B and A, where angle A measures 15 degrees. What is the degree measure of angle C?	60°
	<image>In the given diagram of quadrilateral ABCD, with AD measuring 7 units and AB measuring 5 units, and DE being the angle bisector of ADC, intersecting BC at point E, what is the length of BE?	2
	<image>Question: Which country is highlighted? Choices: A. Haiti B. Dominica C. Saint Vincent and the Grenadines D. the Dominican Republic	B
	<image>In the diagram, AB represents the diameter of circle O, with vertices C and D lying on circle O and on the opposite side of AB. The points AD, OD, and OC are connected. With AD being parallel to OC, and angle AOC measuring 70.0, what is the measure of angle AOD? Denote the measure of angle AOD as θ.	40°
	<image>In the given diagram, the diagonal AC of square ABCD intersects diagonal BD at point O, and point M lies on the side AD. If a perpendicular line ON is drawn from point O to OM, intersecting CD at point N, and the area of quadrilateral MOND is 2, what is the length of BD?	4
	<image>In the figure, the cross section of the railway subgrade forms an isosceles trapezoid. If the slope of the waist is in the ratio 3.0:2.0, the top width is 7.0, and the subgrade height is 6.0, what is the bottom width of the subgrade? Represent the bottom width as 'b'.	15米
	<image>If angle B measures 60 degrees in the circle inscribed in the quadrilateral ABCD, what is the measure of angle D?	120°
	<image>Question: Which animal's mouth is also adapted for bottom feeding? Choices: A. spotted eagle ray B. discus	A
	<image>In the given figure, there is a parallelogram ABCD and a square CEFG. Point E lies on the line AD. If angle ECD measures 35.0 degrees and angle AEF measures 15.0 degrees, what is the measure of angle B?	70
	<image>In the given figure, E and F are the midpoints of BD and CE respectively. If the area of triangle AEF is 3, what is the area of triangle ABC?	12
	<image>In the given figure, triangle ABC is congruent to triangle ADE, with point E lying on the edge of BC. If angle CAE measures 20.0 degrees, what is the degree measurement of angle AED?	80°
	<image>In the provided figure, where AB is parallel to CD, the line EF intersects AB and CD at points E and F respectively. Additionally, the bisector of angle AEF intersects CD at point G. If the measure of angle EFG is 64.0 degrees, what is the measure of angle EGF?	58°
	<image>In the given diagram, angle AOC and angle BOD form right angles. If the measure of angle DOC is 38°, what is the degree measure of angle AOB?	142°
	<image>What does the esophagus connect? Choices: The pharynx to the stomach The seminal vesicles The crop with the gizzard The intestine with the crop	The pharynx to the stomach
	<image>Find the ratio of the area of $ \triangle ABC$ to the area of square $BCDE$. Choices: 1 : 3 \frac { \sqrt 3 } { 4 } : 1 \frac { \sqrt 3 } { 2 } : 1 \sqrt { 3 } :1	\frac { \sqrt 3 } { 4 } : 1
	<image>In the provided diagram, the seesaw AB is supported by the pillar OD, which passes through the midpoint O and is perpendicular to the ground BC. The foot of the perpendicular is denoted as D, with OD measuring 0.5 units. When one end B of the seesaw touches the ground, what is the height of the other end A, labeled as AC, from the ground?	1m
	<image>Question: Which specific humidity level was measured within the outlined area shown? Choices: A. 16 grams of water vapor per kilogram of air B. 23 grams of water vapor per kilogram of air C. 14 grams of water vapor per kilogram of air	B
	<image>What is E in the diagram? Choices: skin bone horny hoof hair	bone
	<image>In the figure depicting triangle ABC and triangle DCB, where angle A is measured at 90 degrees and angle D is also measured at 90 degrees, with AB being equal to CD, and angle ACB measuring 30 degrees, what is the degree measure of angle ACD?	30°
	<image>Question: Which of these states is farthest south? Choices: A. California B. Maine C. Nebraska D. Michigan	A
	<image>The medulla rests atop what part of the brain? Choices: The pituitary gland The spinal cord The hippocampus The cerebellum	The spinal cord
	<image>Write the stages of A,N,C,H and O in the diagram. Choices: Compaction and cementation, Heat and Pressure, Melting, cooling, weathering and erosion sediment magma cooling	Compaction and cementation, Heat and Pressure, Melting, cooling, weathering and erosion
	<image>Question: Which country is highlighted? Choices: A. Saint Kitts and Nevis B. Saint Lucia C. Grenada D. Antigua and Barbuda	A
	<image>Question: Identify the question that Franco's experiment can best answer. Choices: A. Can pennies hold more drops of water mixed with dish soap or water mixed with hand soap? B. Can pennies hold more drops of pure water or water mixed with hand soap?	B
	<image>Question: Select the mammal below. Choices: A. helmeted iguana B. gorilla	B
	<image>What label shows the adult phase of the frog? Choices: B H F D	H
	<image>Question: Select the mammal below. Choices: A. poison dart frog B. rabbit	B
	<image>In the given diagram, what letter represents plants? Choices: B C D A	B
	<image>As shown in the figure, in right triangle ABC, angle A = 90°. Point M is the midpoint of angle ACB and intersects AB. Through point M, MN is parallel to BC and intersects AC at point N. Furthermore, MN bisects angle AMC. If AN = 2, the length of BC is ().	12
	<image>Which label shows the lungs? Choices: M L V R	R
	<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 6$. Choices: 47 57 67 123	57
	<image>Find x.	41.8
	<image>Question: Which solution has a higher concentration of green particles? Choices: A. Solution B B. neither; their concentrations are the same C. Solution A	C
	<image>In the given figure, parallelogram ABCD is depicted with angle ABD measuring 50.0 degrees. BC and AF are perpendicular to each other at point F. AF intersects BD at point E. The midpoint of DE is point O. If DE is equal to twice the length of AB, what is the measure of angle ADB?	25°
	<image>In the given figure, the line segment AB is parallel to CD. If angle B measures 50 degrees and angle C measures 40 degrees, what is the measure of angle E?	90°
	<image>What does the diagram depict along the coast? Choices: Windstorm Tidal waves Water surfing Formation of Giant waves	Formation of Giant waves
	<image>As shown in the figure, in triangle ABC, angle C = 90.0, BC = 2.0, AB = 3.0, then the value of cosB is ()	\frac{2}{3}
	<image>In the provided figure, triangle ABC is depicted, with AD serving as the median and perpendicular to AC. If angle BAD measures 30 degrees and AB measures 3 units, what is the length of AC?	1.5
	<image>Find y.	21
	<image>As shown in the figure, if AD is the diameter of circle O, AB is the chord of circle O, angle DAB = 50.0, and point C is on the circle, then the degree of angle ACB is ()	40°
	<image>Use parallelogram $JKLM$ to find $m \angle MJK$. Choices: 80 100 110 120	100
	<image>Find the area of the shaded figure in square inches. Round to the nearest tenth. Choices: 210 300 420 840	420
	<image>Find m \angle 2.	20
	<image>In a scenario where a thin wooden stick is utilized to measure the height of the oil surface in a barrel, the stick is inserted from a small hole at the edge. If the height of the barrel is 80.0 units and the stick measures 60.0 units, what is the height of the oil level in the barrel?	48cm
	<image>In the given figure, triangle ABC is depicted with angle C measuring 90.0 degrees. The bisector of angle BAC is denoted as AE, and the line BD, which is perpendicular to AE, intersects with the extension of AE at point D. If angle 1 is measured at 24.0 degrees, what is the measure of angle EAB?	24°
	<image>In triangle ABC, the three angle bisectors of angle ABC and angle ACB intersect at points E and D. Given that angle BFC = x and angle BGC = y, determine the measure of angle A.	70°
	<image>In the given diagram, it is known that AD is the angle bisector of triangle ABC. Additionally, DF is perpendicular to AB with the foot of the perpendicular at F, and angle FED equals angle DGA. If the areas of triangles ADG and AED are 60 and 48 respectively, what is the area of triangle EDF?	6
	<image>In the given figure, circle O has diameter AB. If angle D measures 40.0 degrees, what is the measure of angle CAB?	50°
	<image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {KM}$. Choices: 99 109 113 142	109
	<image>Question: What can Sarah and Carla trade to each get what they want? Choices: A. Sarah can trade her tomatoes for Carla's carrots. B. Carla can trade her broccoli for Sarah's oranges. C. Sarah can trade her tomatoes for Carla's broccoli. D. Carla can trade her almonds for Sarah's tomatoes.	C
	<image>Find $y$ if $\triangle JLM \sim \triangle QST$. Choices: 3 4 5 6	4
	<image>In the given figure, BC serves as the diameter of a circle O, and the chord CD, parallel to the radius OA, passes through point C. If angle A measures 20.0 degrees, what is the measure of angle C in degrees?	40°
	<image>In the given figure, Lingling used silk thread to embroider the number "2.0" in her art class. AB is parallel to DE, angle A measures 30.0 degrees, and angle ACE measures 110.0 degrees. What is the degree measure of angle E?	100°
	<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {GCF}$. Choices: 35 295 305 325	325
	<image>Question: Which solution has a higher concentration of yellow particles? Choices: A. Solution B B. Solution A C. neither; their concentrations are the same	C
	<image>Given that C and D lie on the circle O with AB as the diameter, and angle CAB measures 30.0 degrees, what is the measure of angle D?	60°
	<image>In the given diagram, triangle ABC is similar to triangle AED, with angle ADE measuring 80.0 degrees and angle A measuring 60.0 degrees. Determine the measure of angle C in triangle ABC and represent it as 'θ'.	80°
	<image>In the given figure, if the angle labeled as 1 measures 55°, what is the measure of angle 2?	70°
	<image>In \odot A, m \angle E A D = 42. Find m \widehat C B E.	180
	<image>In the provided figure, the C island is located 45.0 degrees north by east of the A island, and the C island is located 25.0 degrees north by west of the B island. What is the angle of view, ACB, from the C island to the two islands, A and B?	70°
	<image>Find y in the parallelogram.	6
	<image>What is the outer layer of the Earth? Choices: convective zone chromosphere radiative zone photosphere	chromosphere
	<image>Find m \angle 6.	49
	<image>In the given illustration, where AB serves as the diameter of circle O and C, and D are points on circle O, if AB measures 4.0 and angle COB equals 60.0, and D is the midpoint of arc BC, and P is a point moving along line segment AB, what is the minimum value of PC + PD?	2√{2}
	<image>Question: Which solution has a higher concentration of green particles? Choices: A. Solution A B. Solution B C. neither; their concentrations are the same	A
	<image>Find x Choices: \sqrt { 6 } 6 6 \sqrt { 3 } 12	12
	<image>What is the measure of angle C in the parallelogram ABCD if angle ADF is 50.0 degrees and AE bisects angle BAD, intersecting the DC edge at point E and DF is perpendicular to AE at F?	80°
	<image>What is the measure of angle MBC in pentagon ABCDE and triangle AMN, both of which are inscribed polygons of circle O, when BM is connected?	12°
	<image>If triangle ABC is folded along line DE, and point C falls outside the quadrilateral ABDE, with angle 1 measuring 108° and angle C measuring 35°, what is the measure of angle 2?	38°
	<image>In the given diagram, a weight is being raised using a fixed pulley with a radius of 5.0. Point P on the pulley rotates by 108.0 degrees. If there is no sliding between the rope and the pulley (excluding the thickness), what is the resulting increase in the height of the weight?	3πcm
	<image>Each pair of polygons is similar. Find x Choices: 29 55.3 71.05 78	71.05
	<image>What happens if you apply heat and pressure to igneous rock? Choices: Turn to magma Turns to sediment Turns to sedimentary rock Turns to metamorphic rock	Turns to metamorphic rock
	<image>Question: Select the organism in the same species as the crystal jellyfish. Choices: A. Cyanea capillata B. Aurelia aurita C. Aequorea victoria	C
	<image>Name the planets. Choices: Our Solar System has eight planets which orbit the sun. In order of distance from the sun they are; Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. Pluto, which until recently was considered to be the farthest planet, is now classified as a dwarf planet. Pluto is no longer considered a planet. Our Solar System has 9 planets which orbit the sun. Our Solar System has 7 planets which orbit the sun.	Our Solar System has eight planets which orbit the sun. In order of distance from the sun they are; Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. Pluto, which until recently was considered to be the farthest planet, is now classified as a dwarf planet.
	<image>As shown in the figure, AB is the tangent of circle O, B is the tangent point, AO and circle O intersect at point C, if angle BAO = 40.0, then the degree of angle CBA is ()	25°
	<image>In the given diagram, AD is tangent to circle O at point A, where AC serves as the diameter of the circle. The point D intersects circle O at point B and connects to OB. If the measure of arc AB is 70.0 degrees, what is the measure of angle D?	55°
	<image>In the provided figure, point D lies on the arc AC which is circumscribed by triangle ABC. If AB is equal to AC and angle CAB measures 50.0 degrees, what is the degree measure of angle ADC?	115°
	<image>Find x. Choices: 4 \sqrt { 15 } 13 \sqrt { 2 } 13 \sqrt { 3 } 8 \sqrt { 15 }	13 \sqrt { 2 }
	<image>Question: What can Lamar and Jennifer trade to each get what they want? Choices: A. Lamar can trade his tomatoes for Jennifer's broccoli. B. Lamar can trade his tomatoes for Jennifer's carrots. C. Jennifer can trade her broccoli for Lamar's oranges. D. Jennifer can trade her almonds for Lamar's tomatoes.	A
	<image>In the figure, m \angle 2 = 110 and m \angle 12 = 55. Find the measure of \angle 2.	70
	<image>Question: Which country is highlighted? Choices: A. Grenada B. Saint Kitts and Nevis C. Saint Lucia D. Saint Vincent and the Grenadines	C
	<image>In the given figure, there is a regular polygonal pattern consisting of flower pots arranged according to certain rules. The pattern 1.0 has 6.0 flower pots, the pattern 2.0 has 12.0 flower pots, and the pattern 3.0 also has 12.0 flower pots. If there are a total of 20.0 flower pots, what is the number of flower pots in the 8.0th pattern?	90
	<image>Within circle O, where AB is the diameter, angle D measures 40.0 degrees. Determine the degree measure of angle AOC denoted by θ.	100°
	<image>What is derived from a Radioactive Atom? Choices: Energy Radiation Heat Cells	Energy
	<image>Find x.	2\sqrt{66}
	<image>What is the measure of angle A in right triangle ABC, where angle ACB is 90 degrees, and an arc is drawn with point B as the center and BC as the radius, intersecting AB at point D, and angle ACD measures 20 degrees?	50°

<image>In the provided diagram, triangle ABC is depicted with points D and E as the midpoints of BC and AD respectively. Point F lies on segment BE, where EF is twice the length of BF. If triangle BCF has an area of 2 square centimeters, what is the area of triangle ABC?

12cm2

<image>Express the ratio of \tan A as a decimal to the nearest hundredth.

1.33

<image>What moon phase comes after the first quarter? Choices: waxing gibbous full moon new moon waxing crescent

waxing crescent

<image>Find x Choices: 21.1 23.4 38.4 45.3

38.4

<image>$RP=3.5$ and $JP=9$. Find $PL$. Choices: 3.5 4.5 7 9

7

<image>What is the minimum length of the diagonal OB in parallelogram OABC, where vertices A and C lie on the straight lines x = 1.0 and x = 4.0, respectively, and O is the origin of the coordinate system?

5

<image>Find x to the nearest tenth.

150

<image>If the height of the net is 0.8 and Xiao Ming's hitting height is 2.4, what is the distance she should stand away from the net to ensure the ball lands 5.0 units beyond the net in her opponent's area when playing tennis?

10米处

<image>In the provided diagram, where AB is equal to AC and measures 10 units, and BC measures 6 units, arcs with a length greater than 0.5 times the length of AB are drawn with points A and B as their centers. These two arcs intersect at points M and N. Line MN intersects line AC at point D. What is the perimeter of triangle BDC?

16

<image>What is the measure of angle P if PA and PB are tangents to circle O, A and B are the points of tangency, AC is the diameter of the circle, and angle BAC measures 25.5 degrees?

51°

<image>Find $m \widehat {WX}$. Choices: 57 63 66 68

66

<image>Circles G, J, and K all intersect at L. If G H = 10, find G L.

10

<image>Question: Which of these oceans does the prime meridian intersect? Choices: A. the Arctic Ocean B. the Pacific Ocean C. the Indian Ocean

A

<image>In the figure, m \angle 3 = 110 and m \angle 12 = 55. Find the measure of \angle 15.

55

<image>In the given diagram, in circle O, the tangent CD touches the circle at point D. The line CO intersects circle O at points B and A, where angle A measures 15 degrees. What is the degree measure of angle C?

60°

<image>In the given diagram of quadrilateral ABCD, with AD measuring 7 units and AB measuring 5 units, and DE being the angle bisector of ADC, intersecting BC at point E, what is the length of BE?

2

<image>Question: Which country is highlighted? Choices: A. Haiti B. Dominica C. Saint Vincent and the Grenadines D. the Dominican Republic

B

<image>In the diagram, AB represents the diameter of circle O, with vertices C and D lying on circle O and on the opposite side of AB. The points AD, OD, and OC are connected. With AD being parallel to OC, and angle AOC measuring 70.0, what is the measure of angle AOD? Denote the measure of angle AOD as θ.

40°

<image>In the given diagram, the diagonal AC of square ABCD intersects diagonal BD at point O, and point M lies on the side AD. If a perpendicular line ON is drawn from point O to OM, intersecting CD at point N, and the area of quadrilateral MOND is 2, what is the length of BD?

4

<image>In the figure, the cross section of the railway subgrade forms an isosceles trapezoid. If the slope of the waist is in the ratio 3.0:2.0, the top width is 7.0, and the subgrade height is 6.0, what is the bottom width of the subgrade? Represent the bottom width as 'b'.

15米

<image>If angle B measures 60 degrees in the circle inscribed in the quadrilateral ABCD, what is the measure of angle D?

120°

<image>Question: Which animal's mouth is also adapted for bottom feeding? Choices: A. spotted eagle ray B. discus

A

<image>In the given figure, there is a parallelogram ABCD and a square CEFG. Point E lies on the line AD. If angle ECD measures 35.0 degrees and angle AEF measures 15.0 degrees, what is the measure of angle B?

70

<image>In the given figure, E and F are the midpoints of BD and CE respectively. If the area of triangle AEF is 3, what is the area of triangle ABC?

12

<image>In the given figure, triangle ABC is congruent to triangle ADE, with point E lying on the edge of BC. If angle CAE measures 20.0 degrees, what is the degree measurement of angle AED?

80°

<image>In the provided figure, where AB is parallel to CD, the line EF intersects AB and CD at points E and F respectively. Additionally, the bisector of angle AEF intersects CD at point G. If the measure of angle EFG is 64.0 degrees, what is the measure of angle EGF?

58°

<image>In the given diagram, angle AOC and angle BOD form right angles. If the measure of angle DOC is 38°, what is the degree measure of angle AOB?

142°

<image>What does the esophagus connect? Choices: The pharynx to the stomach The seminal vesicles The crop with the gizzard The intestine with the crop

The pharynx to the stomach

<image>Find the ratio of the area of $ \triangle ABC$ to the area of square $BCDE$. Choices: 1 : 3 \frac { \sqrt 3 } { 4 } : 1 \frac { \sqrt 3 } { 2 } : 1 \sqrt { 3 } :1

\frac { \sqrt 3 } { 4 } : 1

<image>In the provided diagram, the seesaw AB is supported by the pillar OD, which passes through the midpoint O and is perpendicular to the ground BC. The foot of the perpendicular is denoted as D, with OD measuring 0.5 units. When one end B of the seesaw touches the ground, what is the height of the other end A, labeled as AC, from the ground?

1m

<image>Question: Which specific humidity level was measured within the outlined area shown? Choices: A. 16 grams of water vapor per kilogram of air B. 23 grams of water vapor per kilogram of air C. 14 grams of water vapor per kilogram of air

B

<image>What is E in the diagram? Choices: skin bone horny hoof hair

bone

<image>In the figure depicting triangle ABC and triangle DCB, where angle A is measured at 90 degrees and angle D is also measured at 90 degrees, with AB being equal to CD, and angle ACB measuring 30 degrees, what is the degree measure of angle ACD?

30°

<image>Question: Which of these states is farthest south? Choices: A. California B. Maine C. Nebraska D. Michigan

A

<image>The medulla rests atop what part of the brain? Choices: The pituitary gland The spinal cord The hippocampus The cerebellum

The spinal cord

<image>Write the stages of A,N,C,H and O in the diagram. Choices: Compaction and cementation, Heat and Pressure, Melting, cooling, weathering and erosion sediment magma cooling

Compaction and cementation, Heat and Pressure, Melting, cooling, weathering and erosion

<image>Question: Which country is highlighted? Choices: A. Saint Kitts and Nevis B. Saint Lucia C. Grenada D. Antigua and Barbuda

A

<image>Question: Identify the question that Franco's experiment can best answer. Choices: A. Can pennies hold more drops of water mixed with dish soap or water mixed with hand soap? B. Can pennies hold more drops of pure water or water mixed with hand soap?

B

<image>Question: Select the mammal below. Choices: A. helmeted iguana B. gorilla

B

<image>What label shows the adult phase of the frog? Choices: B H F D

H

<image>Question: Select the mammal below. Choices: A. poison dart frog B. rabbit

B

<image>In the given diagram, what letter represents plants? Choices: B C D A

B

<image>As shown in the figure, in right triangle ABC, angle A = 90°. Point M is the midpoint of angle ACB and intersects AB. Through point M, MN is parallel to BC and intersects AC at point N. Furthermore, MN bisects angle AMC. If AN = 2, the length of BC is ().

12

<image>Which label shows the lungs? Choices: M L V R

R

<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 6$. Choices: 47 57 67 123

57

<image>Find x.

41.8

<image>Question: Which solution has a higher concentration of green particles? Choices: A. Solution B B. neither; their concentrations are the same C. Solution A

C

<image>In the given figure, parallelogram ABCD is depicted with angle ABD measuring 50.0 degrees. BC and AF are perpendicular to each other at point F. AF intersects BD at point E. The midpoint of DE is point O. If DE is equal to twice the length of AB, what is the measure of angle ADB?

25°

<image>In the given figure, the line segment AB is parallel to CD. If angle B measures 50 degrees and angle C measures 40 degrees, what is the measure of angle E?

90°

<image>What does the diagram depict along the coast? Choices: Windstorm Tidal waves Water surfing Formation of Giant waves

Formation of Giant waves

<image>As shown in the figure, in triangle ABC, angle C = 90.0, BC = 2.0, AB = 3.0, then the value of cosB is ()

\frac{2}{3}

<image>In the provided figure, triangle ABC is depicted, with AD serving as the median and perpendicular to AC. If angle BAD measures 30 degrees and AB measures 3 units, what is the length of AC?

1.5

<image>Find y.

21

<image>As shown in the figure, if AD is the diameter of circle O, AB is the chord of circle O, angle DAB = 50.0, and point C is on the circle, then the degree of angle ACB is ()

40°

<image>Use parallelogram $JKLM$ to find $m \angle MJK$. Choices: 80 100 110 120

100

<image>Find the area of the shaded figure in square inches. Round to the nearest tenth. Choices: 210 300 420 840

420

<image>Find m \angle 2.

20

<image>In a scenario where a thin wooden stick is utilized to measure the height of the oil surface in a barrel, the stick is inserted from a small hole at the edge. If the height of the barrel is 80.0 units and the stick measures 60.0 units, what is the height of the oil level in the barrel?

48cm

<image>In the given figure, triangle ABC is depicted with angle C measuring 90.0 degrees. The bisector of angle BAC is denoted as AE, and the line BD, which is perpendicular to AE, intersects with the extension of AE at point D. If angle 1 is measured at 24.0 degrees, what is the measure of angle EAB?

24°

<image>In triangle ABC, the three angle bisectors of angle ABC and angle ACB intersect at points E and D. Given that angle BFC = x and angle BGC = y, determine the measure of angle A.

70°

<image>In the given diagram, it is known that AD is the angle bisector of triangle ABC. Additionally, DF is perpendicular to AB with the foot of the perpendicular at F, and angle FED equals angle DGA. If the areas of triangles ADG and AED are 60 and 48 respectively, what is the area of triangle EDF?

6

<image>In the given figure, circle O has diameter AB. If angle D measures 40.0 degrees, what is the measure of angle CAB?

50°

<image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {KM}$. Choices: 99 109 113 142

109

<image>Question: What can Sarah and Carla trade to each get what they want? Choices: A. Sarah can trade her tomatoes for Carla's carrots. B. Carla can trade her broccoli for Sarah's oranges. C. Sarah can trade her tomatoes for Carla's broccoli. D. Carla can trade her almonds for Sarah's tomatoes.

C

<image>Find $y$ if $\triangle JLM \sim \triangle QST$. Choices: 3 4 5 6

4

<image>In the given figure, BC serves as the diameter of a circle O, and the chord CD, parallel to the radius OA, passes through point C. If angle A measures 20.0 degrees, what is the measure of angle C in degrees?

40°

<image>In the given figure, Lingling used silk thread to embroider the number "2.0" in her art class. AB is parallel to DE, angle A measures 30.0 degrees, and angle ACE measures 110.0 degrees. What is the degree measure of angle E?

100°

<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {GCF}$. Choices: 35 295 305 325

325

<image>Question: Which solution has a higher concentration of yellow particles? Choices: A. Solution B B. Solution A C. neither; their concentrations are the same

C

<image>Given that C and D lie on the circle O with AB as the diameter, and angle CAB measures 30.0 degrees, what is the measure of angle D?

60°

<image>In the given diagram, triangle ABC is similar to triangle AED, with angle ADE measuring 80.0 degrees and angle A measuring 60.0 degrees. Determine the measure of angle C in triangle ABC and represent it as 'θ'.

80°

<image>In the given figure, if the angle labeled as 1 measures 55°, what is the measure of angle 2?

70°

<image>In \odot A, m \angle E A D = 42. Find m \widehat C B E.

180

<image>In the provided figure, the C island is located 45.0 degrees north by east of the A island, and the C island is located 25.0 degrees north by west of the B island. What is the angle of view, ACB, from the C island to the two islands, A and B?

70°

<image>Find y in the parallelogram.

6

<image>What is the outer layer of the Earth? Choices: convective zone chromosphere radiative zone photosphere

chromosphere

<image>Find m \angle 6.

49

<image>In the given illustration, where AB serves as the diameter of circle O and C, and D are points on circle O, if AB measures 4.0 and angle COB equals 60.0, and D is the midpoint of arc BC, and P is a point moving along line segment AB, what is the minimum value of PC + PD?

2√{2}

<image>Question: Which solution has a higher concentration of green particles? Choices: A. Solution A B. Solution B C. neither; their concentrations are the same

A

<image>Find x Choices: \sqrt { 6 } 6 6 \sqrt { 3 } 12

12

<image>What is the measure of angle C in the parallelogram ABCD if angle ADF is 50.0 degrees and AE bisects angle BAD, intersecting the DC edge at point E and DF is perpendicular to AE at F?

80°

<image>What is the measure of angle MBC in pentagon ABCDE and triangle AMN, both of which are inscribed polygons of circle O, when BM is connected?

12°

<image>If triangle ABC is folded along line DE, and point C falls outside the quadrilateral ABDE, with angle 1 measuring 108° and angle C measuring 35°, what is the measure of angle 2?

38°

<image>In the given diagram, a weight is being raised using a fixed pulley with a radius of 5.0. Point P on the pulley rotates by 108.0 degrees. If there is no sliding between the rope and the pulley (excluding the thickness), what is the resulting increase in the height of the weight?

3πcm

<image>Each pair of polygons is similar. Find x Choices: 29 55.3 71.05 78

71.05

<image>What happens if you apply heat and pressure to igneous rock? Choices: Turn to magma Turns to sediment Turns to sedimentary rock Turns to metamorphic rock

Turns to metamorphic rock

<image>Question: Select the organism in the same species as the crystal jellyfish. Choices: A. Cyanea capillata B. Aurelia aurita C. Aequorea victoria

C

<image>Name the planets. Choices: Our Solar System has eight planets which orbit the sun. In order of distance from the sun they are; Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. Pluto, which until recently was considered to be the farthest planet, is now classified as a dwarf planet. Pluto is no longer considered a planet. Our Solar System has 9 planets which orbit the sun. Our Solar System has 7 planets which orbit the sun.

Our Solar System has eight planets which orbit the sun. In order of distance from the sun they are; Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. Pluto, which until recently was considered to be the farthest planet, is now classified as a dwarf planet.

<image>As shown in the figure, AB is the tangent of circle O, B is the tangent point, AO and circle O intersect at point C, if angle BAO = 40.0, then the degree of angle CBA is ()

25°

<image>In the given diagram, AD is tangent to circle O at point A, where AC serves as the diameter of the circle. The point D intersects circle O at point B and connects to OB. If the measure of arc AB is 70.0 degrees, what is the measure of angle D?

55°

<image>In the provided figure, point D lies on the arc AC which is circumscribed by triangle ABC. If AB is equal to AC and angle CAB measures 50.0 degrees, what is the degree measure of angle ADC?

115°

<image>Find x. Choices: 4 \sqrt { 15 } 13 \sqrt { 2 } 13 \sqrt { 3 } 8 \sqrt { 15 }

13 \sqrt { 2 }

<image>Question: What can Lamar and Jennifer trade to each get what they want? Choices: A. Lamar can trade his tomatoes for Jennifer's broccoli. B. Lamar can trade his tomatoes for Jennifer's carrots. C. Jennifer can trade her broccoli for Lamar's oranges. D. Jennifer can trade her almonds for Lamar's tomatoes.

A

<image>In the figure, m \angle 2 = 110 and m \angle 12 = 55. Find the measure of \angle 2.

70

<image>Question: Which country is highlighted? Choices: A. Grenada B. Saint Kitts and Nevis C. Saint Lucia D. Saint Vincent and the Grenadines

C

<image>In the given figure, there is a regular polygonal pattern consisting of flower pots arranged according to certain rules. The pattern 1.0 has 6.0 flower pots, the pattern 2.0 has 12.0 flower pots, and the pattern 3.0 also has 12.0 flower pots. If there are a total of 20.0 flower pots, what is the number of flower pots in the 8.0th pattern?

90

<image>Within circle O, where AB is the diameter, angle D measures 40.0 degrees. Determine the degree measure of angle AOC denoted by θ.

100°

<image>What is derived from a Radioactive Atom? Choices: Energy Radiation Heat Cells

Energy

<image>Find x.

2\sqrt{66}

<image>What is the measure of angle A in right triangle ABC, where angle ACB is 90 degrees, and an arc is drawn with point B as the center and BC as the radius, intersecting AB at point D, and angle ACD measures 20 degrees?

50°