images images listlengths 1 1 | problem stringlengths 30 291 | answer stringlengths 1 34 |
|---|---|---|
<image>If $x=7 \sqrt{3},$ find $y$
Choices:
7
7 \sqrt { 3 }
21 \sqrt { 3 }
63 | 21 \sqrt { 3 } | |
<image>The segment is tangent to the circle. Find $x$.
Choices:
7
8
9
10 | 9 | |
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 16$.
Choices:
47
57
67
123 | 57 | |
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CD}$.
Choices:
35
45
55
65 | 55 | |
<image>Find $BC$.
Choices:
5
8
10
12 | 10 | |
<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠4$.
Choices:
75
97
107
117 | 107 | |
<image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HI}$.
Choices:
31
59
65
135 | 59 | |
<image>Triangle $JKL$ is circumscribed about $\odot R$. Find the perimeter of $\triangle JKL$.
Choices:
38
52
54
74 | 52 | |
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 7$.
Choices:
110
120
130
140 | 110 | |
<image>RSTV is a trapezoid with bases $\overline{R V}$ and $\overline{S T}$ and median $\overline{M N}$. Find $x$ if $M N=60, S T=4 x-1,$ and $R V=6 x+11$
Choices:
11
44
60
77 | 11 | |
<image>Find y.
Choices:
5
5 \sqrt { 2 }
5 \sqrt { 3 }
10 | 10 | |
<image>Find $XY$.
Choices:
3.5
7
34
41 | 7 | |
<image>Find $x$.
Choices:
5
6
7
8 | 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.
Choices:
10.6
15.2
15.6
18.1 | 10.6 | |
<image>Find x. Round the angle measure to the nearest degree
Choices:
108
112
116
120 | 112 | |
<image>Find $y$ so that the quadrilateral is a parallelogram.
Choices:
7
14
15
21 | 7 | |
<image>Find $m \angle 2$.
Choices:
26
39
55
62 | 39 | |
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
2
3
4
5 | 4 | |
<image>Find $m \angle 3$.
Choices:
37.5
52.5
105
133 | 133 | |
<image>Find the area of the shaded sector. Round to the nearest tenth.
Choices:
32.7
39.3
114.6
153.9 | 39.3 | |
<image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find JK
Choices:
2.5
5
10
15 | 2.5 | |
<image>Quadrilateral WXYZ is a rectangle. If $XW = 3$, $WZ = 4$, and $XZ = b$, find $YW$.
Choices:
3
4
5
6 | 5 | |
<image>Find y.
Choices:
1.5
2
2.5
3 | 1.5 | |
<image>Find $y$ so that each quadrilateral is a parallelogram.
Choices:
2
3
6
12 | 6 | |
<image>Find $y$.
Choices:
9
11
12
20 | 11 | |
<image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary.
Choices:
32
33.8
35.4
37.9 | 37.9 | |
<image>Find $m \widehat {GJF}$.
Choices:
82
164
196
216 | 196 | |
<image>In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$
Find $m\widehat{A D C}$
Choices:
90
135
180
270 | 270 | |
<image>If $SP=4, PT=6$, and $QR=12$, find $SQ$.
Choices:
4
6
8
12 | 8 | |
<image>Find x.
Choices:
4
2 \sqrt { 5 }
2 \sqrt { 6 }
2 \sqrt { 10 } | 2 \sqrt { 10 } | |
<image>Find $m \angle 5$.
Choices:
95
100
110
115 | 110 | |
<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 { 25 } { 36 }
\frac { 5 } { 6 }
\frac { 6 } { 5 }
\frac { 36 } { 25 } | \frac { 6 } { 5 } | |
<image>Find z
Choices:
17
20
21
25 | 25 | |
<image>Find the area of the shaded region. Round to the nearest tenth if necessary.
Choices:
75.0
108.5
118.1
127.7 | 108.5 | |
<image>Find $x$ in $\triangle P Q R$
Choices:
2 \sqrt { 3 }
2 \sqrt { 6 }
4 \sqrt { 3 }
4 \sqrt { 6 } | 2 \sqrt { 6 } | |
<image>Find the area of the kite.
Choices:
72
80
88
96 | 72 | |
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find CE
Choices:
\sqrt { 63 }
\sqrt { 70 }
9
12 | \sqrt { 63 } | |
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle ACB$
Choices:
9
12
21
35 | 35 | |
<image>Find $AB$.
Choices:
11
15
26
29 | 29 | |
<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 { 16 } { 25 }
\frac { 4 } { 5 }
\frac { 5 } { 4 }
\frac { 25 } { 16 } | \frac { 4 } { 5 } | |
<image>If $LN=12.4$, what is $JM$?
Choices:
3.1
6.2
9.3
12.4 | 6.2 | |
<image>The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the value of $x$.
Choices:
3.6
6
16.7
27.8 | 6 | |
<image>Use parallelogram ABCD to find $m \angle BCF $
Choices:
34
49
54
83 | 49 | |
<image>Quadrilateral DEFG is a rectangle. If $DF = 2(x + 5) - 7$ and $EG = 3(x - 2)$, find EG.
Choices:
6.5
10
21
30 | 21 | |
<image>Find the measure of $\angle D$
Choices:
46
92
110
143 | 46 | |
<image>Each pair of polygons is similar. Find BC
Choices:
6.25
8
10
12 | 8 | |
<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 20$.
Choices:
20
40
60
80 | 40 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
30
50
60
156 | 60 | |
<image>Find x
Choices:
3
4
5
6 | 3 | |
<image>Find x
Choices:
3
3 \sqrt { 2 }
6
6 \sqrt { 2 } | 3 | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
19.2
38.4
70.0
76.8 | 38.4 | |
<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 $\angle W$
Choices:
62
72
108
118 | 72 | |
<image>Find x. Round the angle measure to the nearest degree
Choices:
68
72
76
80 | 72 | |
<image>Use parallelogram to find $b$
Choices:
2
3
14
17 | 3 | |
<image>$\overline{RS}$ bisects $\angle VRU$. Solve for $x$.
Choices:
5.6
7
8
10 | 10 | |
<image>$m$ is the perpendicular bisector of $XZ$, $WZ=4a-15$ and $WZ=a+12$. Find $WX$.
Choices:
12
15
21
22.4 | 21 | |
<image>Find $x$.
Choices:
3
4
7
12 | 7 | |
<image>Use parallelogram $JKLM$ to find JK
Choices:
4.5
6
10
12 | 6 | |
<image>Find the measure of $XT$.
Choices:
3.5
7
14
28 | 7 | |
<image>Find the area of the figure.
Choices:
16
32
64
128 | 64 | |
<image>Find x
Choices:
33
51
84
117 | 117 | |
<image>Find the value of x.
Choices:
30
90
110
130 | 130 | |
<image>Find the value of the variable $x$ in the figure.
Choices:
42
47
48
96 | 42 | |
<image>Find x. Round the angle measure to the nearest degree.
Choices:
43
48
53
58 | 48 | |
<image>Each pair of polygons is similar. Find y
Choices:
12
14
20
88 | 14 | |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
Choices:
54.4
97.6
108.8
184.2 | 54.4 | |
<image>Find x
Choices:
20
42
52
84 | 20 | |
<image>If $m \angle S=3x$ and $m \angle V=x+16$, find $m \angle S$.
Choices:
16
24
32
48 | 24 | |
<image>Find the area of the figure. Round to the nearest tenth.
Choices:
189
231
294
336 | 231 | |
<image>Find the exact circumference of $\odot P$
Choices:
13
12 \pi
40.84
13 \pi | 13 \pi | |
<image>Find $m\angle A$
Choices:
112
118
120
122 | 122 | |
<image>If $AD=27,AB=8$, and $AE=12$, find $BC$.
Choices:
8
10
12
13.5 | 10 | |
<image>Find y.
Choices:
10
20
10 \sqrt { 6 }
30 | 20 | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
Choices:
10
13.7
14.9
16 | 13.7 | |
<image>Find y.
Choices:
\frac { \sqrt { 3 } } { 3 }
1
\sqrt { 3 }
3 | 1 | |
<image>Quadrilateral $ABDC$ is a rectangle. Find $m \angle 6$ if $ m\angle 1 = 38$.
Choices:
38
52
108
132 | 38 | |
<image>Find the area of the figure. Round to the nearest tenth.
Choices:
1.2
3.5
8.6
10.2 | 3.5 | |
<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
Choices:
0.7
2.5
6.6
15.0 | 2.5 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
15
21
36
72 | 36 | |
<image>$P$ is the incenter of $\angle XYZ$. Find $PK$.
Choices:
8
12
16
20 | 16 | |
<image> $m \widehat{G H}=78$ Find $m\angle 2$
Choices:
39
51
78
114 | 51 | |
<image>If $ABCDE \sim PQRST,$ find the perimeter of $ABCDE$.
Choices:
22.5
27.5
30
35 | 30 | |
<image>Find x
Choices:
59
117
125
342 | 59 | |
<image>If $\overline{E C}$ is an altitude of $\triangle A E D, m \angle 1=2 x+7,$ and $m \angle 2=3 x+13,$ find $m \angle 2$.
Choices:
25
35
45
55 | 55 | |
<image>Find $m \angle C$.
Choices:
80
100
112
122 | 122 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
3
6
8
10 | 10 | |
<image>Find $x$.
Choices:
5
7
8
10 | 7 | |
<image>Find x so that $GJ \parallel FK$. $H J=x-5, J K=15, F G=18, H G=x-4
Choices:
10
12
15
18 | 10 | |
<image>Find y
Choices:
\sqrt { 29 }
\sqrt { 31 }
\sqrt { 33 }
\sqrt { 35 } | \sqrt { 33 } | |
<image>Find x
Choices:
4 \sqrt { 29 }
25
33
\sqrt { 1714 } | 4 \sqrt { 29 } | |
<image>Find $m \angle 1$.
Choices:
39
55
62
83 | 62 | |
<image>Find $x$ so that each quadrilateral is a parallelogram.
Choices:
4
8
16
24 | 8 | |
<image>For the pair of similar figures, find the area of the green figure.
Choices:
15
30
120
240 | 240 | |
<image>Find tanB
Choices:
3
5
8
10 | 5 | |
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x.
Choices:
5
10
15
30 | 5 | |
<image>For trapezoid QRTU, V and S are midpoints of the legs. If TU = 26 and SV = 17, find QR.
Choices:
8
12
20
34 | 8 | |
<image>Find the value of x.
Choices:
65
90
95
110 | 95 | |
<image>Find $y$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular.
Choices:
6.7
8.3
10
90 | 8.3 | |
<image>Find x. Round to the nearest tenth if necessary.
Choices:
2
3
6
9 | 2 | |
<image>Find $y$ in the figure.
Choices:
31
45
56
75 | 45 |
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