images images listlengths 1 1 | problem stringlengths 30 291 | answer stringlengths 1 34 |
|---|---|---|
<image>Use parallelogram to find $y$
Choices:
26.5
53
63.5
127 | 63.5 | |
<image>Each pair of polygons is similar. Find y
Choices:
7
8
10
45 | 7 | |
<image>Find $x$. Round to the nearest tenth.
Choices:
11.7
12.7
13.3
13.7 | 12.7 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
154.1
231.0
307.6
308 | 154.1 | |
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find AM
Choices:
10
15
20
30 | 15 | |
<image>Find $m \widehat {AC}$.
Choices:
12
24
48
96 | 48 | |
<image>If $\overline{W P}$ is a perpendicular bisector, $m \angle WHA=8 q+17$, $m \angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $m \angle HWP$.
Choices:
15
16
17
18 | 17 | |
<image>Find $m \angle A$.
Choices:
42.5
85
95
170 | 85 | |
<image>Find the area of the trapezoid.
Choices:
44.3
48
96
192 | 96 | |
<image>Suppose $C E=5.2$ inches. Find the diameter of the circle.
Choices:
2.6
4.8
10.4
20.8 | 10.4 | |
<image>Find x.
Choices:
8
8 \sqrt { 2 }
8 \sqrt { 3 }
16 | 8 \sqrt { 2 } | |
<image>Find x. Round the side measure to the nearest tenth.
Choices:
6.5
13.1
26.1
52.3 | 13.1 | |
<image>If $\overline{PR} \| \overline{WX}, WX=10, XY=6, WY=8, RY=5,$ and $PS=3,$ find $PQ$.
Choices:
3
4
5
6 | 6 | |
<image>Find x.
Choices:
3 \sqrt { 5 }
4 \sqrt { 5 }
5 \sqrt { 5 }
6 \sqrt { 5 } | 3 \sqrt { 5 } | |
<image>Find x to the nearest hundredth.
Choices:
7.61
8.39
16.31
18.00 | 8.39 | |
<image>Find the base of the parallelogram given its area with 100 square units.
Choices:
15
20
25
30 | 20 | |
<image>Find x
Choices:
\frac { 17 \sqrt { 2 } } { 2 }
17
17 \sqrt { 2 }
34 | \frac { 17 \sqrt { 2 } } { 2 } | |
<image>$\ln \odot K$, $ M N=16$ and $m \widehat{M N}=98$. Find the measure of $m \widehat{NJ}$. Round to the nearest hundredth.
Choices:
49.00
82.00
98.00
131.00 | 131.00 | |
<image>Find $m \angle 2$.
Choices:
50
52
56
68 | 52 | |
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠3$.
Choices:
53
57
63
67 | 53 | |
<image>Find x.
Choices:
4.6
5.6
6.6
7.6 | 5.6 | |
<image>Point $S$ is the incenter of $\triangle JPL$. Find $m \angle MPQ$.
Choices:
24.5
28
49
56 | 56 | |
<image>The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter is 74 meters, what is its area?
Choices:
162
270
332.5
342.25 | 162 | |
<image>Find $x$ so that $p \parallel q$.
Choices:
11
40
45
55 | 45 | |
<image>Find $BC$.
Choices:
23
24
25
27 | 23 | |
<image>Find x
Choices:
2 \sqrt { 3 }
4 \sqrt { 3 }
4 \sqrt { 5 }
4 \sqrt { 6 } | 4 \sqrt { 3 } | |
<image>Find $QR$.
Choices:
5
15
20
25 | 25 | |
<image>If $A D=8, A E=12,$ and $E C=18,$ find $A B$
Choices:
15
16
18
20 | 20 | |
<image>Find $m \angle 2$.
Choices:
20
40
45
65 | 20 | |
<image>Find the measure of $\angle S$
Choices:
71
128
142
152 | 71 | |
<image>Find $B C$ if $B E=24, C D=32,$ and $A B=33$
Choices:
11
12
16
44 | 11 | |
<image>Find x.
Choices:
6 \sqrt 2
6 \sqrt { 3 }
12
6 \sqrt { 6 } | 6 \sqrt 2 | |
<image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
3.0
4.5
23.8
28.3 | 4.5 | |
<image>Find the measure of $\angle A$. Round to the nearest degree.
Choices:
64
69
74
79 | 74 | |
<image>Trapezoid $NOPQ$ has an area of 250 square inches. Find the height of $NOPQ$.
Choices:
10
15
20
25 | 10 | |
<image>Express the ratio of $\tan A$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40 | 0.42 | |
<image>Find VW
Choices:
10
12
14
16 | 12 | |
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LKN$.
Choices:
75
78
79
81 | 81 | |
<image>Find $m \angle 2$.
Choices:
59
74
106
110 | 106 | |
<image>Find $x$ so that $p \parallel q$.
Choices:
16
22
44
66 | 44 | |
<image>Find $m \angle FED$.
Choices:
8
41
49
82 | 82 | |
<image>Triangle $WXY$ has an area of 248 square inches. Find the length of the base.
Choices:
15.5
16
31
32 | 31 | |
<image>Find x
Choices:
\sqrt { 6 }
6
6 \sqrt { 3 }
12 | 12 | |
<image>Find $m \widehat {RQ}$.
Choices:
14
28
37
51 | 28 | |
<image>Find the perimeter of $\triangle D E F,$ if $\triangle D E F \sim \triangle A C B$
Choices:
28
30
42
49 | 42 | |
<image>Find x. Round side measures to the nearest tenth.
Choices:
2.0
4.1
7.9
8.1 | 2.0 | |
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
Choices:
\frac { 9 } { 49 }
\frac { 3 } { 7 }
\frac { 7 } { 3 }
\frac { 49 } { 9 } | \frac { 3 } { 7 } | |
<image>Find x
Choices:
6
8
10
12 | 6 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
190
1554
3108
6216 | 3108 | |
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
Choices:
\frac { 9 } { 16 }
\frac { 3 } { 4 }
\frac { 4 } { 3 }
\frac { 16 } { 9 } | \frac { 3 } { 4 } | |
<image>Find QX if $E X=24$ and $D E=7$
Choices:
7
18
24
25 | 18 | |
<image>Find the perimeter of the figure.
Choices:
23
26
36
72 | 36 | |
<image>Find $F B$ if $\overline{S A}$ and $\overline{F B}$ are altitudes and $\triangle R S T \sim \triangle E F G$
Choices:
1
2
3
4 | 2 | |
<image>Find $AC$ if $\triangle ABC$ is an isosceles triangle with $\overline{AB} \cong \overline{BC}$.
Choices:
3
4
7
11 | 4 | |
<image>Find the measure of $RT$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.
Choices:
9
12
15
18 | 18 | |
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
137.5
150
265
287.5 | 137.5 | |
<image>isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find $\angle T$
Choices:
62
72
108
118 | 72 | |
<image>Find $x$.
Choices:
7
15
21
75 | 21 | |
<image>What is the perimeter of the figure?
Choices:
20
46
90
132 | 20 | |
<image>If $\overline{QR} \| \overline{XY}, \overline{XQ} \cong \overline{QZ}$, and $QR=9.5$ units, what is the length of $\overline{XY}$.
Choices:
4.75
9.5
19
28.5 | 19 | |
<image>Square $F G H J$ is inscribed in $\odot K$. Find the measure of a central angle.
Choices:
45
60
90
180 | 90 | |
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.
Choices:
\frac { 4 } { 25 }
\frac { 2 } { 5 }
\frac { 5 } { 2 }
\frac { 25 } { 4 } | \frac { 5 } { 2 } | |
<image>Find x
Choices:
5
5 \sqrt { 3 }
10
15 | 5 \sqrt { 3 } | |
<image>Find x. Round the side measure to the nearest tenth.
Choices:
8.7
14.6
22.2
37.2 | 37.2 | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
25.0
53.5
78.5
103.5 | 53.5 | |
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 11$.
Choices:
104
106
114
116 | 116 | |
<image>Find y
Choices:
2 \sqrt { 7 }
6
8
10 | 10 | |
<image>Find $GH$
Choices:
17
35
39
45 | 39 | |
<image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
0.92
0.99
1.02
1.98 | 0.92 | |
<image>Find y.
Choices:
4
4 \sqrt { 3 }
12
8 \sqrt { 3 } | 4 \sqrt { 3 } | |
<image>Express the ratio of $\sin L$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40 | 0.38 | |
<image>Rhombus $WXYZ$ has an area of 100 square meters. Find $WY$ if $XZ = 10$ meters.
Choices:
5
10
20
40 | 20 | |
<image>Find the ratio of $MS$ to $SP$, given that $MNPQ$ is a parallelogram with $MR=\frac{1}{4} MN$
Choices:
0.25
0.5
1
2 | 0.5 | |
<image>Parallelogram MNPQ is shown. What is the value of $x$?
Choices:
13
39
141
169 | 13 | |
<image>Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{A X}$
Choices:
5
10
20
30 | 5 | |
<image>In quadrilateral $A B C D, A C=188, B D=214$, $m \angle B P C=70,$ and $P$ is the midpoint of $A C$ and BD. Find the perimeter of quadrilateral $A B C D .$
Choices:
343.1
423.1
561.2
671.2 | 561.2 | |
<image>Find the variable of $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
14.1
14.6
15.1
15.6 | 14.6 | |
<image>Find x
Choices:
5.5
5.5 \sqrt { 2 }
11
11 \sqrt { 2 } | 5.5 | |
<image>The segment is tangent to the circle. Find the value of $x$.
Choices:
6
8
12
26 | 6 | |
<image> The diagonals of rectangle $A B C D$ each have a length of 56 feet. If $m \angle B A C=42^{\circ}$, what is the length of $\overline{A B}$ to the nearest tenth of a foot?
Choices:
41.6
50.4
56.3
75.4 | 41.6 | |
<image>$\triangle NDG \cong \triangle LGD$. Find $x$.
Choices:
36
54
60
77 | 54 | |
<image>In $\odot T, Z V=1,$ and $T W=13$. Find XV
Choices:
5
11
12
13 | 5 | |
<image>Find $x$.
Choices:
47
58
81.5
94 | 81.5 | |
<image>Express the ratio of $\cos L$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40 | 0.92 | |
<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
Choices:
24.0
24.7
25.4
31.4 | 31.4 | |
<image>In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$. $\overline{PX}$ is an altitude of $ \triangle PQR$. Find $a$.
Choices:
10
20
30
40 | 40 | |
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
Choices:
42.1
104.9
153.9
196 | 42.1 | |
<image>Two triangles are similar. Find $x$.
Choices:
11
12
13.5
16.5 | 16.5 | |
<image>In $\odot D, \overline{D E} \cong \overline{E C}, m \widehat{C F}=60,$ and
$\overline{D E} \perp \overline{E C} .$ Find $m \angle 5$
Choices:
30
30
60
90 | 30 | |
<image>For isosceles trapezoid $X Y Z W$ find the length of the median
Choices:
14
16
28
32 | 14 | |
<image>If $EN=13$, what is the diameter of the circle?
Choices:
6.5
13
19.5
26 | 26 | |
<image>Find x
Choices:
\sqrt { 24 }
2 \sqrt { 11 }
2 \sqrt { 22 }
\sqrt { 89 } | 2 \sqrt { 22 } | |
<image>Find x
Choices:
5
5 \sqrt { 2 }
10
10 \sqrt { 2 } | 5 \sqrt { 2 } | |
<image>Find the perimeter of the parallelogram.
Choices:
58
72
88
116 | 116 | |
<image>$\overline{JH}$ is a midsegment of $\triangle KLM$. Find $x$.
Choices:
5
10
15
20 | 10 | |
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠5$.
Choices:
113
117
123
127 | 127 | |
<image>Find the length of $WY$
Choices:
4
5
6
9 | 9 | |
<image>Find $m\angle D$
Choices:
117
117
126
127 | 117 | |
<image>In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{F D}$
Choices:
30
45
90
135 | 30 | |
<image>Find $x$.
Choices:
6
12
24
48 | 48 |
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