images
list
problem
string
answer
string
[ "images/train/1100.png" ]
<image>Find the area of the trapezoid.
273
[ "images/train/1101.png" ]
<image>Refer to trapezoid $CDFG$ with median $\overline{HE}$. Let $\overline{YZ}$ be the median of $HEFG$. Find $YZ$.
34
[ "images/train/1102.png" ]
<image>Use the figure to find the indicated variable. If $m \angle 4 = 2x - 17$ and $m \angle 1 = 85$, find $x$.
56
[ "images/train/1103.png" ]
<image>If $m∠2 = 4x + 7$ and $m∠7 = 5x - 13$, find $x$.
20
[ "images/train/1104.png" ]
<image>Find the value of x.
45
[ "images/train/1105.png" ]
<image>$m \widehat{J H}=114$ Find $m\angle 3$
33
[ "images/train/1106.png" ]
<image>Find x. Round to the nearest tenth if necessary.
2
[ "images/train/1107.png" ]
<image>In the figure, $LH$ is the midsegment of trapezoid $FGJK$. What is the value of $x$ ?
11.8
[ "images/train/1108.png" ]
<image>Find the area of the shaded region.
50.3
[ "images/train/1109.png" ]
<image>Find x.
\sqrt { 141 }
[ "images/train/1110.png" ]
<image>Find the perimeter or circumference of the figure. Round to the nearest tenth.
16
[ "images/train/1111.png" ]
<image>Find $x$.
10
[ "images/train/1112.png" ]
<image>Refer to the figure at the right. Find the value of $m ∠BCE$ if $ p \parallel q $.
75
[ "images/train/1113.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
37.4
[ "images/train/1114.png" ]
<image>Find the perimeter of $▱ JKLM$.
22.4
[ "images/train/1115.png" ]
<image>find sin A
\frac { 5 } { 7 }
[ "images/train/1116.png" ]
<image>Find the measure of $∠T$ to the nearest tenth.
56.4
[ "images/train/1117.png" ]
<image>Find the perimeter of the parallelogram.
76
[ "images/train/1118.png" ]
<image>Find the measure of $∠R$ to the nearest tenth.
39.6
[ "images/train/1119.png" ]
<image>$\triangle MHJ \cong \triangle PQJ$. Find $y$.
5
[ "images/train/1120.png" ]
<image>In $\triangle ACE$, $P$ is the centroid. $PF=6$ and $AD=15$. Find $AP$.
10
[ "images/train/1121.png" ]
<image>Find the area of the figure. Round to the nearest tenth.
374
[ "images/train/1122.png" ]
<image>Find z
4 \sqrt { 3 }
[ "images/train/1123.png" ]
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 5$.
60
[ "images/train/1124.png" ]
<image>Find x
41.8
[ "images/train/1125.png" ]
<image>Use parallelogram ABCD to find $y $
11
[ "images/train/1126.png" ]
<image>Find the value of $d$ in the parallelogram
42
[ "images/train/1127.png" ]
<image>Find y.
15
[ "images/train/1128.png" ]
<image>Solve for $x$.
12
[ "images/train/1129.png" ]
<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 13$.
43
[ "images/train/1130.png" ]
<image>Find x
35
[ "images/train/1131.png" ]
<image>In $\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \angle PRZ=4 b-17$, $m \angle ZRQ=3 b-4$, $m \angle QYR=7 b+6$, and $m \angle PXR=2 a+10$. Find $PR$ if $\overline{QY}$ is a median.
18
[ "images/train/1132.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
66.3
[ "images/train/1133.png" ]
<image>What is the circumference of $\odot T$? Round to the nearest tenth.
40.8
[ "images/train/1134.png" ]
<image>Use parallelogram to find $a$
7
[ "images/train/1135.png" ]
<image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$. Find LK
15
[ "images/train/1136.png" ]
<image>In the figure, $\triangle FGH$ is a right triangle with hypotenuse $\overline{FH}$ and $GJ = GH$. What is the measure of $∠JGH$?
56
[ "images/train/1137.png" ]
<image>The area of trapezoid $JKLM$ is 138 square feet. The area of trapezoid $QRST$ is 5.52 square feet. If trapezoid $J K L M$ $ \sim$ trapezoid $QRST$, find the scale factor from trapezoid $JKLM$ to trapezoid $QRST$.
5
[ "images/train/1138.png" ]
<image>If $A D=8, A E=12,$ and $E C=18,$ find $A B$
20
[ "images/train/1139.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
53.5
[ "images/train/1140.png" ]
<image>Find $x$.
6
[ "images/train/1141.png" ]
<image>Find $x$ in $\triangle P Q R$
2 \sqrt { 6 }
[ "images/train/1142.png" ]
<image>Find the length of $AB$ in the isosceles triangle $ABC$.
12.5
[ "images/train/1143.png" ]
<image>Find the measure of $\angle 3$.
147
[ "images/train/1144.png" ]
<image>Find $m \widehat{JK}$.
56
[ "images/train/1145.png" ]
<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem. If $m \angle P L K=110,$ find $m \angle L K M$
140
[ "images/train/1146.png" ]
<image>The segment is tangent to the circle. Find $x$.
8
[ "images/train/1147.png" ]
<image>Chords $\overline{JF}$ and $\overline{BC}$ intersect at $K .$ If $B K=8$, $K C=12,$ and $K F=16,$ find $J K$
6
[ "images/train/1148.png" ]
<image>find tan A
\frac { 15 } { 16 }
[ "images/train/1149.png" ]
<image>Use parallelogram PQRS to find $QR$
3
[ "images/train/1150.png" ]
<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 $R V=6 x+11$
11
[ "images/train/1151.png" ]
<image>In $\odot F$, $GK=14$ and $m \widehat{GHK}=142$. Find $m \widehat {GH}$.
71
[ "images/train/1152.png" ]
<image>Find x.
8 \sqrt { 3 }
[ "images/train/1153.png" ]
<image>Each pair of polygons is similar. Find x.
91
[ "images/train/1154.png" ]
<image>Find $x$ in each figure.
13
[ "images/train/1155.png" ]
<image>Find the area of the rhombus.
60
[ "images/train/1156.png" ]
<image>Find y.
20
[ "images/train/1157.png" ]
<image>Find $m \angle 4$.
40
[ "images/train/1158.png" ]
<image>Quadrilateral ABCD is a rhombus. If $m\angle BCD = 120$, find $m\angle DAC$.
60
[ "images/train/1159.png" ]
<image>Find $y$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular.
8.3
[ "images/train/1160.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
80
[ "images/train/1161.png" ]
<image>If $A N$ is 5 meters long, find the exact circumference of $\odot N .$
10 \pi
[ "images/train/1162.png" ]
<image>In the figure, $m∠1 = 94$. Find the measure of $\angle 3$.
94
[ "images/train/1163.png" ]
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 4$.
49
[ "images/train/1164.png" ]
<image>Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{O X}$
5 \sqrt { 3 }
[ "images/train/1165.png" ]
<image>Each pair of polygons is similar. Find y.
30
[ "images/train/1166.png" ]
<image>Find x
8 \sqrt { 41 }
[ "images/train/1167.png" ]
<image>Express the ratio of $\tan A$ as a decimal to the nearest hundredth.
1.33
[ "images/train/1168.png" ]
<image>In A, the radius is $14$ and $CD = 22$. Find $EB$. Round to the nearest hundredth.
5.34
[ "images/train/1169.png" ]
<image>Find $x$.
70
[ "images/train/1170.png" ]
<image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HGK}$.
180
[ "images/train/1171.png" ]
<image>If $\angle R S T$ is a right angle, $\overline{SU} \perp \overline{RT}$, $\overline{UV} \perp \overline{ST},$ and $m \angle RT S=47,$ find $m \angle R$
43
[ "images/train/1172.png" ]
<image>Find $x$ if $\overline{AD}$ is a median of $\triangle ABC$.
5
[ "images/train/1173.png" ]
<image>Use parallelogram MNPR to find $y$
6.45
[ "images/train/1174.png" ]
<image>Find x.
6 \sqrt { 3 }
[ "images/train/1175.png" ]
<image>Find the area of the figure. Round to the nearest tenth, if necessary.
1050
[ "images/train/1176.png" ]
<image>Find the perimeter of $\triangle P Q R,$ if $\triangle P Q M \sim \triangle P R Q$
78
[ "images/train/1177.png" ]
<image>Find the circumference of the figure. Round to the nearest tenth.
18.8
[ "images/train/1178.png" ]
<image>Find x.
35
[ "images/train/1179.png" ]
<image>Find $x$. $A = 92$ in$^2$.
8.4
[ "images/train/1180.png" ]
<image>The diameter of $\odot S$ is $30$ units, the diameter of $\odot R$ is $20$ units, and $DS=9$ units. Find $CD$.
6
[ "images/train/1181.png" ]
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠5$.
127
[ "images/train/1182.png" ]
<image>In the figure, $QR \| TS$, $QT \| RS$, and $m \angle 1=131$. Find the measure of $\angle 8$.
131
[ "images/train/1183.png" ]
<image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary.
37.9
[ "images/train/1184.png" ]
<image>Find the area of the kite.
60
[ "images/train/1185.png" ]
<image>Find $m\angle 1$.
59
[ "images/train/1186.png" ]
<image>Express the ratio of $\tan V$ as a decimal to the nearest hundredth.
0.29
[ "images/train/1187.png" ]
<image>For trapezoid QRTU, V and S are midpoints of the legs. If VS = 9 and UT = 12, find QR.
7
[ "images/train/1188.png" ]
<image>Find $m\angle Q$
121
[ "images/train/1189.png" ]
<image>Refer to the triangle shown below. Find $x$ to the nearest tenth.
10
[ "images/train/1190.png" ]
<image>$a=14, b=48,$ and $c=50$, find $sinB$
0.96
[ "images/train/1191.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
155.5
[ "images/train/1192.png" ]
<image>Find QX if $E X=24$ and $D E=7$
18
[ "images/train/1193.png" ]
<image>Find $x$. $A = 104$ ft$^2$.
6.3
[ "images/train/1194.png" ]
<image>Find y.
10
[ "images/train/1195.png" ]
<image>Find $x$. (Hint: Draw an auxiliary line.)
22
[ "images/train/1196.png" ]
<image>Find x to the nearest tenth.
9.67
[ "images/train/1197.png" ]
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C B E}$
180
[ "images/train/1198.png" ]
<image>Use parallelogram JKLM to find $a$ if $J K=2 b+3$ and $J M=3 a$.
7
[ "images/train/1199.png" ]
<image>Find $x$.
45