images
list | problem
string | answer
string |
|---|---|---|
[
"images/train/900.png"
] |
<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 $x$.
|
6
|
[
"images/train/901.png"
] |
<image>$\overline{AB}$ is tangent to the circle. Find $x$. Round to the nearest tenth.
|
6.1
|
[
"images/train/902.png"
] |
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 4$.
|
57
|
[
"images/train/903.png"
] |
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$
Find MB
|
15
|
[
"images/train/904.png"
] |
<image>Find $DE$.
|
7.5
|
[
"images/train/905.png"
] |
<image>Quadrilateral EFGH is a rectangle. If $m\angle FEG = 57$, find $m\angle GEH$.
|
33
|
[
"images/train/906.png"
] |
<image>Find $x$.
|
4
|
[
"images/train/907.png"
] |
<image>If $ABCD$ is a kite, find $AB$
|
5
|
[
"images/train/908.png"
] |
<image>Find x
|
8
|
[
"images/train/909.png"
] |
<image>Use parallelogram ABCD to find $m\angle AFB$
|
131
|
[
"images/train/910.png"
] |
<image>If $WZ=25.3$, $YZ=22.4$, $WZ=25.3$, find $XY$.
|
22.4
|
[
"images/train/911.png"
] |
<image>Find the value of the variable $y$ in the figure.
|
12
|
[
"images/train/912.png"
] |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find SV
|
10
|
[
"images/train/913.png"
] |
<image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle Q$
|
120
|
[
"images/train/914.png"
] |
<image>Quadrilateral $RSTU$ is circumscribed about $\odot J$. If the preimeter is $18$ units, find $x$.
|
1.5
|
[
"images/train/915.png"
] |
<image>If TR = 8, LR = 3, and RW = 6, find WS.
|
10
|
[
"images/train/916.png"
] |
<image>Find z.
|
\frac { 22 } { 5 }
|
[
"images/train/917.png"
] |
<image>The triangle is inscribed in $\odot D$. Find the exact circumference of $\odot D$.
|
4 \sqrt { 13 } \pi
|
[
"images/train/918.png"
] |
<image>Find x. Round to the nearest tenth, if necessary.
|
5.3
|
[
"images/train/919.png"
] |
<image>Find PQ
|
15
|
[
"images/train/920.png"
] |
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
4
|
[
"images/train/921.png"
] |
<image>Find $x$.
|
58
|
[
"images/train/922.png"
] |
<image>$\overline{RS}$ bisects $\angle VRU$. Solve for $x$.
|
10
|
[
"images/train/923.png"
] |
<image>Find $m \angle 2$.
|
110
|
[
"images/train/924.png"
] |
<image>Find $x$
|
5
|
[
"images/train/925.png"
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
3.8
|
[
"images/train/926.png"
] |
<image>Find $m \widehat {CF}$.
|
80
|
[
"images/train/927.png"
] |
<image>If $b=18,$ find $c$
|
12 \sqrt { 3 }
|
[
"images/train/928.png"
] |
<image>$\triangle FGH$ is an equilateral triangle. Find $FG$.
|
19
|
[
"images/train/929.png"
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
259.8
|
[
"images/train/930.png"
] |
<image>Find $y$ in the figure.
|
90
|
[
"images/train/931.png"
] |
<image>If $\overline{W P}$ is a median and an angle bisector, $A P=3 y+11$, $P H=7 y-5$, $m \angle H W P=x+12$, $m \angle P A W=3 x-2$, and $m \angle H W A=4 x-16$, find $x$.
|
20
|
[
"images/train/932.png"
] |
<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 $x$.
|
32
|
[
"images/train/933.png"
] |
<image>Find $\angle 7$
|
98
|
[
"images/train/934.png"
] |
<image>Find the area of the figure. Round to the nearest hundredth, if necessary.
|
68.6
|
[
"images/train/935.png"
] |
<image>Find z
|
10 \sqrt { 2 }
|
[
"images/train/936.png"
] |
<image>Find x
|
117
|
[
"images/train/937.png"
] |
<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MR
|
40 / 3
|
[
"images/train/938.png"
] |
<image>Find $m \angle 2$.
|
75
|
[
"images/train/939.png"
] |
<image>Find $y$ in the figure.
|
11
|
[
"images/train/940.png"
] |
<image>Find $m \angle 7$.
|
53
|
[
"images/train/941.png"
] |
<image>Find the value of x.
|
8
|
[
"images/train/942.png"
] |
<image>For the pair of similar figures, find the area of the green figure.
|
81
|
[
"images/train/943.png"
] |
<image>The two circles are congruent. Find $x$.
|
16
|
[
"images/train/944.png"
] |
<image>In parallelogram $ABCD$, $\overline{BD}$ and $\overline{AC}$ intersect at $E$. If $AE = 9$, $BE = 3x - 7$, and $DE = x + 5$, find $x$.
|
6
|
[
"images/train/945.png"
] |
<image>$\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.
|
60
|
[
"images/train/946.png"
] |
<image>Find the measure of $x$.
|
0.5
|
[
"images/train/947.png"
] |
<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 19$.
|
140
|
[
"images/train/948.png"
] |
<image>find cos B
|
\frac { 5 } { 7 }
|
[
"images/train/949.png"
] |
<image>$\overline{XY}$ and $\overline{XZ}$ are midsegments of $\triangle RST$. Find $XZ$.
|
6.5
|
[
"images/train/950.png"
] |
<image>Find $m\angle Z X Y$
|
65
|
[
"images/train/951.png"
] |
<image>Find $m \angle 1$.
|
66
|
[
"images/train/952.png"
] |
<image>Find the perimeter of the given triangle. $\triangle A B C,$ if $\triangle A B C \sim \triangle C B D, C D=4$, $D B=3,$ and $C B=5$.
|
20
|
[
"images/train/953.png"
] |
<image>Find the perimeter of quadrilateral ABCD.
|
40 + 14 \sqrt { 2 }
|
[
"images/train/954.png"
] |
<image>Find $y$ so that the quadrilateral is a parallelogram.
|
12
|
[
"images/train/955.png"
] |
<image>Find $x$.
|
12
|
[
"images/train/956.png"
] |
<image>Find DE
|
6
|
[
"images/train/957.png"
] |
<image>$\triangle PQS \cong \triangle RQS$. Find $x$.
|
16
|
[
"images/train/958.png"
] |
<image>Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $D E$
|
24
|
[
"images/train/959.png"
] |
<image>Find $x$.
|
19
|
[
"images/train/960.png"
] |
<image>Find the area of the figure. Round to the nearest tenth.
|
129.9
|
[
"images/train/961.png"
] |
<image>Find $h$.
|
15 \sqrt 3
|
[
"images/train/962.png"
] |
<image>Find $m\angle 2$
|
130
|
[
"images/train/963.png"
] |
<image>Find $JL$.
|
12
|
[
"images/train/964.png"
] |
<image>Find x. Round to the nearest tenth.
|
57.2
|
[
"images/train/965.png"
] |
<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 $\angle W$
|
72
|
[
"images/train/966.png"
] |
<image>Express the ratio of $\tan B$ as a decimal to the nearest hundredth.
|
2.40
|
[
"images/train/967.png"
] |
<image>Find $CB$.
|
15
|
[
"images/train/968.png"
] |
<image>Find x.
|
2 \sqrt { 10 }
|
[
"images/train/969.png"
] |
<image>If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$, and $m \angle WZG=20,$ find $m \angle JHG$
|
110
|
[
"images/train/970.png"
] |
<image>Quadrilateral $ABCD$ is a rhombus. If $m\angle BCD = 54$, find $m\angle BAC$.
|
27
|
[
"images/train/971.png"
] |
<image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $y$.
|
42
|
[
"images/train/972.png"
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
70
|
[
"images/train/973.png"
] |
<image>Find $x$.
|
13
|
[
"images/train/974.png"
] |
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠3$.
|
53
|
[
"images/train/975.png"
] |
<image>Solve for $x$.
|
15
|
[
"images/train/976.png"
] |
<image>Find $m\angle C$
|
128
|
[
"images/train/977.png"
] |
<image>Find x
|
6
|
[
"images/train/978.png"
] |
<image>Find the perimeter of the triangle. Round to the nearest hundredth.
|
28.52
|
[
"images/train/979.png"
] |
<image> $m \widehat{G H}=78$ Find $m\angle 1$
|
39
|
[
"images/train/980.png"
] |
<image>Quadrilateral WXYZ is a rectangle. If $XW = 3$, $WZ = 4$, and $XZ = b$, find $YW$.
|
5
|
[
"images/train/981.png"
] |
<image>Find $y$.
|
2
|
[
"images/train/982.png"
] |
<image>Find $z$.
|
10 \sqrt { 5 }
|
[
"images/train/983.png"
] |
<image>Find $m\angle 2$.
|
151
|
[
"images/train/984.png"
] |
<image>Use parallelogram to find $y$
|
17
|
[
"images/train/985.png"
] |
<image>Find $JM$.
|
5.5
|
[
"images/train/986.png"
] |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
19.2
|
[
"images/train/987.png"
] |
<image>Use parallelogram WXYZ to find $m\angle WZY$
|
75
|
[
"images/train/988.png"
] |
<image>Find the perimeter of $\triangle D E F,$ if $\triangle D E F \sim \triangle A C B$
|
42
|
[
"images/train/989.png"
] |
<image>Find $x$.
|
15
|
[
"images/train/990.png"
] |
<image>Find the area of the figure. Round to the nearest tenth.
|
474
|
[
"images/train/991.png"
] |
<image>If $m \angle S=3x$ and $m \angle V=x+16$, find $m \angle S$.
|
24
|
[
"images/train/992.png"
] |
<image>Find the value of $x$ in each diagram
|
52
|
[
"images/train/993.png"
] |
<image>Find $BE$.
|
2.1
|
[
"images/train/994.png"
] |
<image>Find $m \angle S$.
|
66
|
[
"images/train/995.png"
] |
<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.
If $M K=6 x, K L=3 x+2 y,$ and $J N=14-x$
find $y$
|
3
|
[
"images/train/996.png"
] |
<image>Find $E H$ if $\triangle A B C \sim \triangle D E F, \overline{B G}$ is an altitude of $\triangle A B C, \overline{E H}$ is an altitude of $\triangle D E F, B G=3$, $B F=4, F C=2,$ and $C E=1$
|
\frac { 3 } { 2 }
|
[
"images/train/997.png"
] |
<image>In the figure, $ m ∠1 = 3a + 40 $, $ m ∠2 = 2a + 25 $, and $ m ∠3 = 5b - 26 $. Find $b$.
|
27
|
[
"images/train/998.png"
] |
<image>Find y
|
10
|
[
"images/train/999.png"
] |
<image>Quadrilateral ABCD is a rectangle. $m\angle 2 = 40$. Find $m \angle 7$
|
40
|
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