images images listlengths 1 1 | problem stringlengths 30 291 | answer stringlengths 1 34 |
|---|---|---|
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS.
Choices:
4
8
12
20 | 8 | |
<image>Find $x$.
Choices:
20
70
110
220 | 70 | |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
Choices:
3
4
5
6 | 5 | |
<image>Find $m \angle ACD$.
Choices:
22
44
66
92 | 44 | |
<image>Find the area of the triangle. Round to the nearest hundredth.
Choices:
6.02
7.54
7.99
9.42 | 6.02 | |
<image>Find the perimeter of the $\triangle CBH,$ if $\triangle CBH \sim \triangle FEH$, $ADEG$ is a parallelogram, $CH=7$, $FH=10, FE=11$, and $EH=6$. Rounded to the nearest tenth.
Choices:
10.6
17.6
18.9
20.3 | 18.9 | |
<image>Find $ED$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$
Choices:
5
6
8
9 | 9 | |
<image>Use parallelogram ABCD to find $x$
Choices:
2
5
25
50 | 5 | |
<image>Find x. Round to the nearest tenth, if necessary.
Choices:
2.7
3
4
5.3 | 5.3 | |
<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:
114.2
214.2
264.2
314.2 | 114.2 | |
<image>Find $YZ$ of isosceles $\triangle XYZ$
Choices:
1
7
8
9 | 7 | |
<image>Find $m \widehat{E D B}$ if $m \widehat{F E}=118, m \widehat{A B}=108$, $m \angle E G B=52,$ and $m \angle E F B=30$.
Choices:
15
52
108
118 | 15 | |
<image>Quadrilateral $WXZY$ is a rhombus. If $m \angle XZY=56$, find $m \angle YWZ$.
Choices:
14
28
34
56 | 28 | |
<image>Find $y$ in the figure.
Choices:
42
48
80
90 | 90 | |
<image>In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ .
Find $m\angle LQM$
Choices:
10
20
70
80 | 70 | |
<image>Find x
Choices:
5
6
7
8 | 6 | |
<image>In the figure, $\overline{CP}$ is an altitude, $\overline{CQ}$ is the angle bisector of $∠ACB$, and $R$ is the midpoint of $\overline{AB}$. Find $x$ if $m∠APC=72+x$.
Choices:
12
15
16
18 | 18 | |
<image>What is the value of tan x?
Choices:
\frac { 5 } { 13 }
\frac { 5 } { 12 }
\frac { 12 } { 5 }
\frac { 13 } { 5 } | \frac { 5 } { 12 } | |
<image>Find $m \angle 1$.
Choices:
24
54
66
78 | 66 | |
<image>Find y
Choices:
12
23
28
43 | 28 | |
<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 $m\widehat{C B F}$
Choices:
45
135
180
225 | 225 | |
<image>Find the area of the figure. Round to the nearest tenth.
Choices:
36.4
105.7
211.4
422.7 | 105.7 | |
<image>Quadrilateral $A B C D$ is inscribed in $\odot Z$ such that $m \angle B Z A=104, m \widehat{C B}=94,$ and $\overline{A B} \| \overline{D C} .$
Find $m \angle B D A$
Choices:
36
52
94
104 | 52 | |
<image>Find $m \widehat{Y C}$.
Choices:
21
60
75
180 | 60 | |
<image>Find $x$ so that $m || n$.
Choices:
11
38.2
39
103 | 39 | |
<image>Find $m \angle K$.
Choices:
105
113
117
121 | 117 | |
<image>For trapezoid $Q R S T, A$ and $B$ are midpoints of the legs. Find $A B$
Choices:
12
16
20
32 | 16 | |
<image>What is the area of the figure? Round to the nearest tenth.
Choices:
346.4
372.1
383.2
564.7 | 346.4 | |
<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 XW
Choices:
5
10
15
20 | 5 | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
24.7
45.9
68.7
119.0 | 68.7 | |
<image>Find the area of the figure. Round to the nearest tenth.
Choices:
75
106.1
129.9
259.8 | 129.9 | |
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 4$.
Choices:
64
66
74
76 | 64 | |
<image>Find $m \angle 4$.
Choices:
26
32
64
78 | 64 | |
<image>Find x
Choices:
30
60
90
120 | 30 | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
40
50
60
80 | 50 | |
<image>Find $x$.
Choices:
53
84
106
127 | 127 | |
<image>Find $m\angle Z X Y$
Choices:
25
65
115
180 | 65 | |
<image>If $\overline{PR} \| \overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $KP$.
Choices:
5
9
12
15 | 5 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
57.5
81.3
99.6
115 | 115 | |
<image>Find $m \angle 3$.
Choices:
39
42
48
51 | 51 | |
<image>Find the area of the figure.
Choices:
73
77
80
88 | 77 | |
<image>Find the measure of $\angle 6$ if $m∠4= m∠5$.
Choices:
44
47
53
64 | 44 | |
<image>$\overline{JH}$ is tangent to $\odot G$ at $J$. Find the value of $x$.
Choices:
3
5
8
12 | 5 | |
<image>Find y
Choices:
4
4 \sqrt { 3 }
8
8 \sqrt { 3 } | 4 \sqrt { 3 } | |
<image>Find $x$ so that the quadrilateral is a parallelogram.
Choices:
8
9
18
19 | 8 | |
<image>Solve for $x$.
Choices:
10
15
25
30 | 15 | |
<image>Find $HJ$.
Choices:
10
12
15
25 | 15 | |
<image>Use parallelogram MNPR to find $m \angle MQR$
Choices:
83
97
103
107 | 83 | |
<image>Find $m\angle D$
Choices:
36
74
78
128 | 74 | |
<image>Find the perimeter of the $\triangle DEF$, if $\triangle DEF \sim \triangle CBF$, perimeter of $\triangle CBF=27, DF=6, FC=8$.
Choices:
16
17.25
20.25
27 | 20.25 | |
<image>Find x
Choices:
\frac { 1 } { 7 }
\frac { 3 } { 7 }
\frac { 4 } { 7 }
\frac { 5 } { 7 } | \frac { 3 } { 7 } | |
<image>$\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MNP}$.
Choices:
120
140
160
180 | 180 | |
<image>Find x.
Choices:
4 \sqrt { 15 }
13 \sqrt { 2 }
13 \sqrt { 3 }
8 \sqrt { 15 } | 13 \sqrt { 2 } | |
<image>Find $m \widehat{B X}$
Choices:
21
45
63
117 | 117 | |
<image>Find the measure of $∠T$ to the nearest tenth.
Choices:
33.6
39.8
50.2
56.4 | 56.4 | |
<image>Find $m \angle Z$.
Choices:
60
80
120
135 | 80 | |
<image>Find $x$.
Choices:
7
12
22
31 | 12 | |
<image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 8$ if $m∠1 = 30$.
Choices:
30
60
90
120 | 30 | |
<image>Express the ratio of $\sin B$ as a decimal to the nearest hundredth.
Choices:
0.38
0.42
0.92
2.40 | 0.92 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
2
2.37
4
4.37 | 2.37 | |
<image>$ \triangle WXY $ and $ \triangle XYZ $ are isosceles and $m∠XYZ = 128$. Find the measure of $∠YZX$.
Choices:
22
24
26
28 | 26 | |
<image>Find the area of the circle. Round to the nearest tenth.
Choices:
348.7
697.4
38707.6
154830.3 | 38707.6 | |
<image>Find $a$ if $c=8, b=10,$ and $m \angle A=60$
Choices:
4.6
5.9
7.2
9.2 | 9.2 | |
<image>Quadrilateral ABCD is a rhombus. If $m\angle BCD$ = 64, find $m\angle BAC$.
Choices:
32
39
64
67 | 32 | |
<image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle Q$
Choices:
30
45
60
120 | 120 | |
<image>Find the perimeter of the figure.
Choices:
22
44
60
120 | 44 | |
<image>Find $FE$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$.
Choices:
9
10
\frac { 40 } { 3 }
15 | \frac { 40 } { 3 } | |
<image>Find $m \angle JKL$.
Choices:
21
31
43
84 | 31 | |
<image>Find $m\angle F$
Choices:
100
116
127
140 | 116 | |
<image>For the pair of similar figures, find the area of the green figure.
Choices:
151.25
275.00
909.09
1652.89 | 151.25 | |
<image>Use a calculator to find the measure of $∠J$ to the nearest degree.
Choices:
35
45
55
65 | 45 | |
<image>In A, the radius is $14$ and $CD = 22$. Find $CE$.
Choices:
7
11
14
22 | 11 | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
26.8
30.7
31.7
34.6 | 34.6 | |
<image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {STP}$.
Choices:
123
144
147
150 | 147 | |
<image>Find $m \angle P$.
Choices:
60
70
100
120 | 70 | |
<image>$\triangle FGH$ is an equilateral triangle. Find $FG$.
Choices:
3
16
19
22 | 19 | |
<image>Find the angle measure of $\angle 1$.
Choices:
128
132
142
152 | 142 | |
<image>Use parallelogram MNPR to find $y$
Choices:
6.45
12.9
17.9
35.8 | 6.45 | |
<image>Find the measure of $m∠K$.
Choices:
26.5
53
58
106 | 53 | |
<image>Find x. Round side measures to the nearest tenth.
Choices:
5.3
7.3
16.5
22.8 | 22.8 | |
<image>In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$?
Choices:
17
34
51
61 | 51 | |
<image>Find $y$.
Choices:
8
10
12
14 | 10 | |
<image>For the pair of similar figures, use the given areas to find $x$.
Choices:
7.6
12.6
35
58.3 | 35 | |
<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠8$.
Choices:
65
73
75
83 | 73 | |
<image>$\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MQ}$.
Choices:
45
55
65
75 | 65 | |
<image>Find x.
Choices:
7
7 \sqrt { 2 }
7 \sqrt { 3 }
14 | 7 \sqrt { 3 } | |
<image>ABCD is a trapezoid.
If $AC = 3x – 7$ and $BD = 2x + 8$, find the value of $x$ so that ABCD is isosceles.
Choices:
15
20
28
38 | 15 | |
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
Choices:
96
135
192
240 | 96 | |
<image>Find the measure of $\angle 7$.
Choices:
70
110
140
220 | 110 | |
<image>$J$ is the incenter of $\angle ABC$. Find $m \angle JAC$.
Choices:
15
24
32
34 | 24 | |
<image>Find x
Choices:
55
110
125
235 | 235 | |
<image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$.
Find JH
Choices:
15
16
17
30 | 15 | |
<image>Find $y$ in the figure.
Choices:
11
12
13
14 | 11 | |
<image>Find $m \angle 1$.
Choices:
26
32
58
64 | 26 | |
<image>Quadrilateral $A B C D$ is inscribed in $\odot Z$ such that $m \angle B Z A=104, m \widehat{C B}=94,$ and $\overline{A B} \| \overline{D C} .$
Find $m \widehat{B A}$
Choices:
36
90
104
120 | 104 | |
<image>Find $m \angle P$.
Choices:
28
35
56
70 | 35 | |
<image>Find x
Choices:
3
3 \sqrt { 2 }
6
6 \sqrt { 2 } | 3 \sqrt { 2 } | |
<image>Use parallelogram NQRM to find NQ
Choices:
13
14
15
16 | 14 | |
<image>If $ABCD$ is a kite, find $AB$
Choices:
3
4
5
7 | 5 | |
<image>Find $y$.
Choices:
1
2
3
4 | 2 |
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