images images listlengths 1 1 | problem stringlengths 30 291 | answer stringlengths 1 34 |
|---|---|---|
<image>In $\triangle JLP$, $m \angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. If $\overline{JM}$ is an altitude of $\triangle JLP$, find $x$.
Choices:
23
32
35
55 | 32 | |
<image>If WXYZ is a kite, find $m\angle Z$
Choices:
60
75
120
150 | 75 | |
<image>Find $y$.
Choices:
4
6
8
14 | 6 | |
<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 12$.
Choices:
38
62
118
142 | 118 | |
<image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {KM}$.
Choices:
99
109
113
142 | 109 | |
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 8$.
Choices:
86
96
106
116 | 116 | |
<image>Find x.
Choices:
8
16
32
64 | 32 | |
<image>Find $YZ$.
Choices:
2
4
6
8 | 4 | |
<image>Quadrilateral WXYZ is a rectangle. If $ZY = 2x + 3$ and $WX = x + 4$, find $WX$.
Choices:
2
5
7
10 | 5 | |
<image>Find $m \angle Q$
Choices:
70
90
110
180 | 70 | |
<image>Triangle RST is circumscribed about the circle below. What is the perimeter of the triangle?
Choices:
33
36
37
40 | 36 | |
<image>Find $x$.
Choices:
2
3
4
5 | 2 | |
<image>Find $AB$.
Choices:
12
16
24
44 | 12 | |
<image>Find $m \angle 1$.
Choices:
15
43
59
71 | 59 | |
<image>Find the area of the shaded region.
Choices:
14.1
15.9
47.7
63.6 | 47.7 | |
<image>If $R T=15, Q P=21,$ and $P T=8,$ find $T S$
Choices:
8
15
20
21 | 20 | |
<image>Find QS
Choices:
3
4
6
9 | 3 | |
<image>In quadrilateral $P Q R S, P Q=721, Q R=547$, $R S=593, P S=756,$ and $m \angle P=58 .$
Find $m\angle R$
Choices:
53.4
67.4
77.8
87.6 | 77.8 | |
<image>Find z.
Choices:
2 \sqrt { 5 }
2 \sqrt { 6 }
2 \sqrt { 10 }
2 \sqrt { 15 } | 2 \sqrt { 15 } | |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
Choices:
81
119.5
239
320 | 239 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
35
70
145
155 | 145 | |
<image>If XM = 4, XN = 6, and NZ = 9, find XY.
Choices:
5
10
13
15 | 10 | |
<image>Express the ratio of $\sin A$ as a decimal to the nearest hundredth.
Choices:
0.60
0.75
0.80
1.33 | 0.80 | |
<image>In $\odot S$, find $PR$.
Choices:
6
12
14
18 | 12 | |
<image>Express the ratio of $\tan A$ as a decimal to the nearest hundredth.
Choices:
0.60
0.80
1.33
1.67 | 1.33 | |
<image>Find $m \angle MNP$.
Choices:
40
50
130
140 | 130 | |
<image>JKLM is a rectangle. MLPR is a rhombus. $\angle J M K \cong \angle R M P$, $m \angle J M K=55$ and $m \angle M R P=70 $. Find $m \angle M P R$
Choices:
55
70
125
250 | 55 | |
<image>In quadrilateral $P Q R S, P Q=721, Q R=547$, $R S=593, P S=756,$ and $m \angle P=58 .$
Find $Q S$
Choices:
345.7
542.5
671.2
716.7 | 716.7 | |
<image>Find $\angle1$
Choices:
47
65
112
159 | 112 | |
<image>The segment is tangent to the circle. Find $x$ to the nearest hundredth.
Choices:
3.00
4.03
6.72
8.06 | 8.06 | |
<image>$P$ is the incenter of $\triangle AEC$. Find $DE$. Rounded to the nearest hundredth.
Choices:
13.11
13.21
14.90
28.51 | 13.11 | |
<image>In $\odot P$, $PS=4$, find the length of $\widehat {QR}$. Round to the nearest hundredth.
Choices:
1.75
2.37
3.49
4.75 | 4.75 | |
<image>Find x.
Choices:
5.3
6
8
10 | 10 | |
<image>Find the measure of $∠A$ to the nearest tenth.
Choices:
11.3
11.5
78.5
78.7 | 78.5 | |
<image>Find $x$.
Choices:
71
75
109
143 | 71 | |
<image>Find the measure of $\angle P$
Choices:
61
71
106
122 | 61 | |
<image>If $a=10 \sqrt{3},$ find $C E$
Choices:
5 \sqrt 3
10
15
10 \sqrt 3 | 15 | |
<image>Find the measure of $\angle 3$.
Choices:
28
32
38
42 | 42 | |
<image>Find the area of the kite.
Choices:
40
60
80
120 | 60 | |
<image>Find the height of the parallelogram given its area with 100 square units.
Choices:
5
10
15
20 | 5 | |
<image>Find $SW$.
Choices:
4
8
12
16 | 16 | |
<image>In $\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \angle G J N=6 y-3$, $m \angle N J H=4 y+23$ and $m \angle H M G=4 z+14$. If $\overline{HM}$ is an altitude of $∠GHJ$, find the value of $z$.
Choices:
16
17
18
19 | 19 | |
<image>Find the measure of the altitude drawn to the hypotenuse.
Choices:
11
\sqrt { 297 }
27
297 | \sqrt { 297 } | |
<image>Find $RS$.
Choices:
12
22
31
33 | 31 | |
<image>Find x. Assume that segments that appear to be tangent are tangent.
Choices:
2
3
4
5 | 4 | |
<image>Find x
Choices:
4
4 \sqrt { 3 }
8
6 \sqrt { 3 } | 4 | |
<image>Find x.
Choices:
50
52
54
56 | 52 | |
<image>Find the perimeter of the given triangle $\triangle D E F,$ if $\triangle A B C \sim \triangle D E F, A B=5$, $B C=6, A C=7,$ and $D E=3$
Choices:
9.2
10.8
18
31.7 | 10.8 | |
<image>Find $m \angle K$.
Choices:
97
112
166
194 | 97 | |
<image>Find x.
Choices:
10
\sqrt { 141 }
12
7 \sqrt { 3 } | \sqrt { 141 } | |
<image>A square with 5-centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest
tenth of a centimeter.
Choices:
11.1
22.2
44.4
88.9 | 22.2 | |
<image>The radius of $\odot P$ is 5 and $P R=3$. Find QS
Choices:
3
5
6
8 | 8 | |
<image>Find x.
Choices:
4
2 \sqrt { 5 }
6
2 \sqrt { 13 } | 2 \sqrt { 13 } | |
<image>Find $y$ if $\triangle JLM \sim \triangle QST$.
Choices:
3
4
5
6 | 4 | |
<image>If $\triangle J K L \sim \triangle P Q R$ and the area of $\triangle J K L$ is
30 square inches, find the area of $\triangle P Q R$。
Choices:
19.2
24.0
37.5
46.9 | 46.9 | |
<image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find scale factor of trapezoid ABCD to trapezoid AEFG
Choices:
1.6
4.5
12
26 | 1.6 | |
<image>If TR = 8, LR = 3, and RW = 6, find WS.
Choices:
7
10
11
12 | 10 | |
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FB$.
Choices:
4
5
5.5
11 | 5 | |
<image>The segment is tangent to the circle. Find $x$.
Choices:
12
16
20
22 | 20 | |
<image>Find $x$.
Choices:
1
3
5
7 | 3 | |
<image>Find z.
Choices:
\sqrt { 285 }
\sqrt { 646 }
2 \sqrt { 285 }
2 \sqrt { 646 } | \sqrt { 646 } | |
<image>Find the area of the shaded region. Round to the nearest tenth.
Choices:
19.6
46.8
66.3
113.1 | 66.3 | |
<image>$\overline{AB}$ and $\overline{CB}$ are tangent to $\odot D$. Find the value of $x$.
Choices:
10
15
20
25 | 20 | |
<image>Find the perimeter of the figure.
Choices:
8
16
32
64 | 32 | |
<image>Find $x$.
Choices:
2
3
4
5 | 3 | |
<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find ML
Choices:
11
18
20
25 | 20 | |
<image>If KLMN is a parallelogram, find the value of the indicated variable.
Find x
Choices:
4
5
12
26 | 4 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
Choices:
332.6
543.1
665.1
768 | 665.1 | |
<image>Use the figure to find the indicated variable. If $m \angle 4 = 2x - 17$ and $m \angle 1 = 85$, find $x$.
Choices:
51
56
61
85 | 56 | |
<image>For trapezoid QRST, M and P are midpoints of the legs. If QR = 16, PM = 12, and TS = 4x, find x.
Choices:
2
8
12
16 | 2 | |
<image>If $\overline{MS}$ is a median of $ \triangle MNQ$, $QS = 3a - 14$, $SN = 2a + 1$, and $m∠MSQ = 7a + 1$, find the value of $a$.
Choices:
13
14
15
16 | 15 | |
<image>Find the area of the quadrilateral.
Choices:
96
104
112
208 | 104 | |
<image>WXYZ is a kite. If $m\angle WXY = 13x + 24$, $m\angle WZY = 35$, and $m\angle ZWX = 13x + 14$, find $m\angle ZYX$.
Choices:
13
24
105
210 | 105 | |
<image>Find the value of $x$.
Choices:
35
36
70
180 | 35 | |
<image>Find $y$.
Choices:
9
10.4
12.7
15.6 | 15.6 | |
<image>The triangle is inscribed into the circle. Find the exact circumference of the circle.
Choices:
16 \pi
17 \pi
32 \pi
34 \pi | 17 \pi | |
<image>Find $XZ$ of isosceles $\triangle XYZ$
Choices:
7
8
12
16 | 12 | |
<image>Find the measure of $∠T$ to the nearest tenth.
Choices:
33.7
41.8
48.2
56.3 | 33.7 | |
<image>Find x to the nearest tenth.
Choices:
20
65
85
150 | 150 | |
<image>Find $CD$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$
Choices:
9
10
12
15 | 9 | |
<image>If $ABCDE \sim PQRST,$ find the perimeter of $PQRST$.
Choices:
22.5
25
27.5
30 | 22.5 | |
<image>Find $x$.
Choices:
84
107
130
158 | 107 | |
<image>Find x. Round to the nearest tenth.
Choices:
7.4
8.0
12.5
13.5 | 8.0 | |
<image>Find the perimeter of the triangle at the right. Assume that segments that appear to be tangent are tangent.
Choices:
29
38
58
76 | 58 | |
<image>WXYZ is a square. If $WT = 3$, find $ZX$
Choices:
3
5
6
9 | 6 | |
<image>In right triangle $ABC$ shown below, what is the measure of $∠ A$ to the nearest tenth of a degree?
Choices:
32.2
38.9
51.1
57.8 | 38.9 | |
<image>Find the measure of $AC$.
Choices:
19
30
38
76 | 38 | |
<image>Find x. Assume that any segment that appears to be tangent is tangent.
Choices:
4
7
20
28 | 4 | |
<image>If $\overline{GH} \cong \overline{HK}$, $\overline{HJ} \cong \overline{YK}$, and $m \angle GJK=100$, what is the measure of $\angle HGK$ ?
Choices:
10
15
20
25 | 20 | |
<image>Find x
Choices:
\sqrt { 15 }
6
\sqrt { 83 }
10 | \sqrt { 15 } | |
<image>In the figure at the right, which cannot be true if $ m \parallel l $ and $ m ∠1 = 73 $?
Choices:
\angle 1 \cong \angle 4
\angle 3 \cong \angle 1
m \angle 2 + m \angle 3 = 180
m \angle 4 > 73 | \angle 1 \cong \angle 4 | |
<image>Find the exact circumference of each circle.
Choices:
2.5 \pi
15
5 \pi
10 \pi | 5 \pi | |
<image>Find the perimeter or circumference of the figure. Round to the nearest tenth.
Choices:
12
14
16
18 | 16 | |
<image>What is the value of x in the figure?
Choices:
19
23
26
28 | 26 | |
<image>Find $x$.
Choices:
7
8
9
10 | 8 | |
<image>Find $y$ in the figure.
Choices:
13
13.5
14
15 | 15 | |
<image>Find $m \angle 2$.
Choices:
28
38
52
62 | 52 | |
<image>Find y
Choices:
5
5 \sqrt { 2 }
10
10 \sqrt { 2 } | 5 \sqrt { 2 } | |
<image>Find $x$.
Choices:
22
28
32
36 | 28 | |
<image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\angle ABD = 24$. Find $AP$
Choices:
9
14
56
97 | 9 |
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