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| problem
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| answer
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|---|---|---|
<image>Find $x$ in the figure.
|
90
|
|
<image>A square with side length of $9$ inches is inscribed in $\odot J$. Find the exact circumference of $\odot J$.
|
9 \sqrt 2 \pi
|
|
<image>Find $x$.
|
3
|
|
<image>If QRST is a parallelogram, find $x$
|
5.4
|
|
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x.
|
5
|
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
80
|
|
<image>Find x.
|
14
|
|
<image>Find $m \widehat {PO}$.
|
112
|
|
<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.
|
36
|
|
<image>Find $m\angle D$
|
117
|
|
<image>Points $P$, $Q$, and $R$ are the midpoints of $\overline{J K}$, $\overline{K L}$, and $\overline{J L}$, respectively. Find $x$ .
|
5.5
|
|
<image>Find $h$ in each triangle.
|
\frac { 15 \sqrt 2 } { 2 }
|
|
<image>Find $XY$.
|
7
|
|
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
|
4.1
|
|
<image>Find the scale factor from $W$ to $W'$.
|
0.75
|
|
<image>Find $U B$ if $\triangle R S T \sim \triangle U V W, \overline{T A}$ and $\overline{WB}$ are medians, $T A=8$, $R A=3, W B=3 x-6,$ and $U B=x+2$
|
36
|
|
<image>$UJ=9, VJ=3$, and $ZT=18$. Find $JT$.
|
6
|
|
<image>If $MNPQ \sim XYZW,$ find the perimeter of $XYZW$.
|
17
|
|
<image>Find the area of the figure.
|
64
|
|
<image>Find x
|
5 \sqrt { 2 }
|
|
<image>Find $m \angle 5$.
|
85
|
|
<image>Quadrilateral $WXZY$ is a rhombus. If $m \angle XZY=56$, find $m \angle YWZ$.
|
28
|
|
<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
|
14.4
|
|
<image>Find $x$.
|
21
|
|
<image>In $\odot P, P D=10, P Q=10,$ and $Q E=20$, find PE
|
10 \sqrt { 5 }
|
|
<image>If $WXYZ$ is a kite, find $ZY$.
|
8 \sqrt { 10 }
|
|
<image>Find the area of the regular polygon. Round to the nearest tenth.
|
15.6
|
|
<image>If $m \angle AFB = 8x - 6$ and $m \angle BFC = 14x + 8$, find the value of $x$ so that $\angle AFC$ is a right angle.
|
4
|
|
<image>Find $x$.
|
170
|
|
<image>Find $x$.
|
11.2
|
|
<image>Find the area of the figure. Round to the nearest hundredth, if necessary.
|
4
|
|
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
50
|
|
<image>Find x
|
24
|
|
<image>Find x.
|
\frac { 13 \sqrt { 2 } } { 2 }
|
|
<image>Find the measure of $\angle 1$.
|
56
|
|
<image>Find $y$.
|
3
|
|
<image>Use parallelogram ABCD to find $m\angle BCD$
|
52
|
|
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C D}$
|
138
|
|
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
|
\frac { \sqrt { 3 } } { 2 }
|
|
<image>Find x.
|
4 \sqrt { 13 }
|
|
<image>Find $x$. (Hint: Draw an auxiliary line.)
|
130
|
|
<image>Find z
|
2 \sqrt { 6 }
|
|
<image>In $\odot F$, find $m \widehat {AED}$.
|
153
|
|
<image>Find $y$ in the figure.
|
26.3
|
|
<image>For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=3x$, $ST=15$, and $CD=9x$, find $x$.
|
2.5
|
|
<image>If $BT = 5$ and $TC = 8$, find $CD$.
|
\sqrt { 89 }
|
|
<image>If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $RS$.
|
8
|
|
<image>In $\odot W$, $\widehat {RS} \cong \widehat {TV}$. Find $RS$.
|
11
|
|
<image>In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\angle 9$.
|
84
|
|
<image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
|
50
|
|
<image>Find y
|
\frac { 5 } { 3 }
|
|
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
14
|
|
<image>If $c=8,$ find $b$
|
4 \sqrt { 3 }
|
|
<image>Find $m\angle T$
|
58
|
|
<image>Find the area of the shaded region. Round to the nearest tenth.
|
68.7
|
|
<image>Segments $\overline{AD}$ and $\overline{CE}$ are medians of $\triangle ACB, \overline{AD} \perp \overline{CE}, AB=10$, and $CE=9$. Find $CA$
|
\sqrt { 52 }
|
|
<image>In $\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $ZV$.
|
9
|
|
<image>Find x.
|
45
|
|
<image>In $\odot B$, the diameter is 20 units long, and $m \angle A C E=45$ Find $x$
|
\sqrt { 2 }
|
|
<image>Find $x$.
|
145
|
|
<image>Find $m \angle T$.
|
135
|
|
<image>Find $x$.
|
7
|
|
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 5$.
|
64
|
|
<image>Triangle $CDE$ has an area of 336 square inches. Find $CE$.
|
28
|
|
<image>Find $x$ in the figure.
|
16
|
|
<image>Find the area of the shaded region. Round to the nearest tenth.
|
449.0
|
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
259.9
|
|
<image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find the perimeter of trapezoid ABCD
|
73.2
|
|
<image>In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$?
|
51
|
|
<image>Find x. Round the angle measure to the nearest degree.
|
40
|
|
<image>Find $m \angle 1$.
|
108
|
|
<image>Find x
|
22
|
|
<image>If $m\angle ZYW = 2x - 7$ and $m \angle WYX = 2x + 5$, find $m\angle ZYW$.
|
39
|
|
<image>Find $m\angle B$
|
90
|
|
<image>Find $x$ in each figure.
|
31
|
|
<image>Find $m \angle 6$.
|
45
|
|
<image>Find x
|
\frac { 17 \sqrt { 2 } } { 2 }
|
|
<image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $x$ so that the quadrilateral is a parallelogram.
|
4
|
|
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find $m\widehat{A B}$
|
80
|
|
<image>Find $m \angle Q$
|
70
|
|
<image>Triangle $WXY$ has an area of 248 square inches. Find the length of the base.
|
31
|
|
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
5.6
|
|
<image>Find $m \angle 4$.
|
125
|
|
<image>If WXYZ is a kite, find $YZ$
|
\sqrt { 89 }
|
|
<image>Find x. Round to the nearest tenth.
|
5.2
|
|
<image>Find the measure of $\angle B$
|
46
|
|
<image>Find $m \angle A G E$
|
120
|
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
665.1
|
|
<image>$a=14, b=48,$ and $c=50$, find $tanB$
|
3.43
|
|
<image>Find x
|
22.5
|
|
<image>Find $x$.
|
6
|
|
<image>Find $x$ so that the quadrilateral is a parallelogram
|
11
|
|
<image>Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find XZ
|
8
|
|
<image>Use rhombus XYZW with $m \angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\frac{5 a+1}{4}$
Find $m \angle X Y W$
|
53
|
|
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 7$.
|
49
|
|
<image>Find x
|
8 \sqrt { 3 }
|
|
<image>Find $x$.
|
25
|
|
<image>In the figure, $ \triangle ABC$ is isosceles, $ \triangle DCE$ is equilateral, and $ \triangle FCG$ is isosceles. Find the measures of the $\angle 3$ at vertex $C$.
|
26
|
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
103.9
|
|
<image>Find y.
|
\frac { 3 } { 2 }
|
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