images
list | problem
string | answer
string |
|---|---|---|
[
"images/train/700.png"
] |
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
|
10
|
[
"images/train/701.png"
] |
<image>Find $AC$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
|
32
|
[
"images/train/702.png"
] |
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 6$.
|
131
|
[
"images/train/703.png"
] |
<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ .
Find $m \angle G N M$
|
44.5
|
[
"images/train/704.png"
] |
<image>Find $FH$.
|
12
|
[
"images/train/705.png"
] |
<image>If $m\angle ZXW = x - 11$ and $m \angle WZX = x - 9$, find $m\angle ZXY$.
|
46
|
[
"images/train/706.png"
] |
<image>Find $m\angle F$
|
122
|
[
"images/train/707.png"
] |
<image>Express the ratio of $\cos L$ as a decimal to the nearest hundredth.
|
0.92
|
[
"images/train/708.png"
] |
<image>What is the length of $\overline{EF}$?
|
26
|
[
"images/train/709.png"
] |
<image>Find $m \widehat {TS}$.
|
144
|
[
"images/train/710.png"
] |
<image>Find the area of the sector. Round to the nearest tenth.
|
2.5
|
[
"images/train/711.png"
] |
<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 $m\angle R$
|
77.8
|
[
"images/train/712.png"
] |
<image>Find $m \angle B$.
|
36
|
[
"images/train/713.png"
] |
<image>Find the perimeter of $\triangle D E F$ if $\triangle D E F \sim \triangle A B C$
|
24
|
[
"images/train/714.png"
] |
<image>Find $x$ so that $ m \parallel n $.
|
15
|
[
"images/train/715.png"
] |
<image>Find the area of the quadrilateral.
|
104
|
[
"images/train/716.png"
] |
<image>In $\triangle EDF$, $T$ is the centroid and $FT=12$. Find $TQ$.
|
6
|
[
"images/train/717.png"
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
8
|
[
"images/train/718.png"
] |
<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 $\triangle P Q R$。
|
46.9
|
[
"images/train/719.png"
] |
<image>Find $RT$.
|
15
|
[
"images/train/720.png"
] |
<image>Find the measure of $\angle 3$.
|
42
|
[
"images/train/721.png"
] |
<image>$\overline{JH}$ is tangent to $\odot G$ at $J$. Find the value of $x$.
|
5
|
[
"images/train/722.png"
] |
<image>Find $x$. $A = 177$ cm$^2$.
|
16.2
|
[
"images/train/723.png"
] |
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 5$.
|
49
|
[
"images/train/724.png"
] |
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent.
|
4
|
[
"images/train/725.png"
] |
<image>In $\odot A$, $WX=XY=22$. Find $AB$.
|
10
|
[
"images/train/726.png"
] |
<image>Find y
|
5 \sqrt { 2 }
|
[
"images/train/727.png"
] |
<image>Find the area of the blue region.
|
114.2
|
[
"images/train/728.png"
] |
<image>Find x. Round the side measure to the nearest tenth.
|
50.6
|
[
"images/train/729.png"
] |
<image>Find the measure of $∠T$ to the nearest tenth.
|
33.7
|
[
"images/train/730.png"
] |
<image>In $\odot J$, $GH=9$ and $KL=4x+1$. Find $x$.
|
2
|
[
"images/train/731.png"
] |
<image>Find $x$ so that $m || n$.
|
36
|
[
"images/train/732.png"
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
55.6
|
[
"images/train/733.png"
] |
<image>Find x. Round to the nearest hundredth.
|
7.21
|
[
"images/train/734.png"
] |
<image>Find $x$ so that each quadrilateral is a parallelogram.
|
12
|
[
"images/train/735.png"
] |
<image>Find x
|
\frac { 50 } { 3 }
|
[
"images/train/736.png"
] |
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find BY if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
|
12
|
[
"images/train/737.png"
] |
<image>Find $m \angle 4$.
|
55
|
[
"images/train/738.png"
] |
<image>Find $x$ if $\odot M \cong \odot N$.
|
9
|
[
"images/train/739.png"
] |
<image>Find $x$ in the figure.
|
112
|
[
"images/train/740.png"
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
39.0
|
[
"images/train/741.png"
] |
<image>Find AC
|
9.6
|
[
"images/train/742.png"
] |
<image>What is the total area of the figure?
|
368
|
[
"images/train/743.png"
] |
<image>Find the exact circumference of the circle.
|
9 \pi
|
[
"images/train/744.png"
] |
<image>$m$ is the perpendicular bisector of $XZ$, $WZ=4a-15$ and $WZ=a+12$. Find $WX$.
|
21
|
[
"images/train/745.png"
] |
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
|
96
|
[
"images/train/746.png"
] |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
|
114.2
|
[
"images/train/747.png"
] |
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{B C}$
|
42
|
[
"images/train/748.png"
] |
<image>$\triangle RST \cong \triangle VUT$. Find $x$.
|
2
|
[
"images/train/749.png"
] |
<image>In $\odot R, S U=20, Y W=20,$ and $m \widehat{Y X}=45$.
Find $m\widehat{Y W}$
|
90
|
[
"images/train/750.png"
] |
<image>Find the area of the trapezoid.
|
96
|
[
"images/train/751.png"
] |
<image>Find y in the parallelogram
|
6
|
[
"images/train/752.png"
] |
<image>Find $x$.
|
4
|
[
"images/train/753.png"
] |
<image>Find $AF$.
|
10.8
|
[
"images/train/754.png"
] |
<image>Find y.
|
10
|
[
"images/train/755.png"
] |
<image>Two triangles are similar. Find $x$.
|
16.5
|
[
"images/train/756.png"
] |
<image>Find $x$ so that $ m \parallel n $.
|
16
|
[
"images/train/757.png"
] |
<image>Given right triangle $XYZ$ with hypotenuse $\overline{XY}$, $YP$ is equal to $YZ$. If $m ∠PYZ = 26$, find $m ∠XZP$.
|
13
|
[
"images/train/758.png"
] |
<image>The segment is tangent to the circle. Find $x$.
|
5 \sqrt { 10 }
|
[
"images/train/759.png"
] |
<image>Find $m \angle P$.
|
35
|
[
"images/train/760.png"
] |
<image>For the pair of similar figures, use the given areas to find $x$.
|
6.0
|
[
"images/train/761.png"
] |
<image>Find y.
|
\frac { 12 } { 5 } \sqrt { 11 }
|
[
"images/train/762.png"
] |
<image>Find x.
|
\frac { 15 \sqrt { 2 } } { 2 }
|
[
"images/train/763.png"
] |
<image>Find $CD$.
|
4
|
[
"images/train/764.png"
] |
<image>Triangle $A D C$ is circumscribed about $\odot O .$ Find the perimeter of $\triangle A D C$ if $E C=D E+A F$
|
100
|
[
"images/train/765.png"
] |
<image>Find $m \angle 5$.
|
57
|
[
"images/train/766.png"
] |
<image>Rhombus $WXYZ$ has an area of 100 square meters. Find $WY$ if $XZ = 10$ meters.
|
20
|
[
"images/train/767.png"
] |
<image>Find $x$.
|
10
|
[
"images/train/768.png"
] |
<image>Find x.
|
13 \sqrt { 2 }
|
[
"images/train/769.png"
] |
<image>Find $x$.
|
81.5
|
[
"images/train/770.png"
] |
<image>Find $x$ so that the quadrilateral is a parallelogram.
|
30
|
[
"images/train/771.png"
] |
<image>Find y
|
21
|
[
"images/train/772.png"
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
239
|
[
"images/train/773.png"
] |
<image>Find the area of quadrilateral $XYZW$ if $XZ = 39$, $HW = 20$, and $YG = 21$.
|
799.5
|
[
"images/train/774.png"
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
4
|
[
"images/train/775.png"
] |
<image>In rhombus $A B C D, A B=2 x+3$ and $B C=5 x$. Find x.
|
1
|
[
"images/train/776.png"
] |
<image>Find y.
|
6 \sqrt { 3 }
|
[
"images/train/777.png"
] |
<image>Find the area of the kite.
|
72
|
[
"images/train/778.png"
] |
<image>Find the value of $x$ in each diagram
|
93
|
[
"images/train/779.png"
] |
<image>Find the measure of $\angle T$.
|
77
|
[
"images/train/780.png"
] |
<image>In the triangle, what is the measure of $∠Z$?
|
18
|
[
"images/train/781.png"
] |
<image>Quadrilateral ABCD is a rhombus. If $m\angle ABC = 2x – 7$ and $m\angle BCD = 2x + 3$, find $m\angle DAB$.
|
95
|
[
"images/train/782.png"
] |
<image>The two polygons are similar. Find x.
|
13.5
|
[
"images/train/783.png"
] |
<image>In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find $KH$.
|
8
|
[
"images/train/784.png"
] |
<image>Find $z$ in the figure.
|
73
|
[
"images/train/785.png"
] |
<image>$\overline{PQ}$ is tangent to the circle. Find $x$. Round to the nearest tenth.
|
5.2
|
[
"images/train/786.png"
] |
<image>Find the ratio of $MS$ to $SP$, given that $MNPQ$ is a parallelogram with $MR=\frac{1}{4} MN$
|
0.5
|
[
"images/train/787.png"
] |
<image>Find x so that $GJ \parallel FK$. $H J=x-5, J K=15, F G=18, H G=x-4
|
10
|
[
"images/train/788.png"
] |
<image>In $\triangle P Q R, R S=3$ and $Q S=14 .$ Find $P S$
|
\sqrt { 42 }
|
[
"images/train/789.png"
] |
<image>JKLM is a rhombus. If $CK = 8$ and $JK = 10$, Find $JC$.
|
6
|
[
"images/train/790.png"
] |
<image>Find x
|
60
|
[
"images/train/791.png"
] |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
13
|
[
"images/train/792.png"
] |
<image>Find y
|
\sqrt { 33 }
|
[
"images/train/793.png"
] |
<image>Find the area of the shaded sector. Round to the nearest tenth.
|
39.3
|
[
"images/train/794.png"
] |
<image>For the pair of similar figures, use the given areas to find $x$.
|
5
|
[
"images/train/795.png"
] |
<image>Find x. Round the side measure to the nearest tenth.
|
107.9
|
[
"images/train/796.png"
] |
<image>Equilateral pentagon $P Q R S T$ is inscribed in $\odot U$.
Find $m \angle P Q R$
|
108
|
[
"images/train/797.png"
] |
<image>If $LK=4,MP=3,PQ=6,KJ=2,RS=6$, and $LP=2$, find $QR$.
|
3
|
[
"images/train/798.png"
] |
<image>Circle $J$ has a radius of $10$ units, $\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $AB$.
|
14.6
|
[
"images/train/799.png"
] |
<image>Find the measure of $∠R$ to the nearest tenth.
|
70.9
|
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