images images listlengths 1 1 | problem stringlengths 13 234 | answer stringlengths 1 34 |
|---|---|---|
<image>Find $m \angle P$. | 35 | |
<image>Find cosA | \frac { 5 \sqrt { 26 } } { 26 } | |
<image>Find $m∠1$. | 67 | |
<image>Quadrilateral ABCD is a rhombus. If $m\angle BCD = 120$, find $m\angle DAC$. | 60 | |
<image>Find $YZ$ of isosceles $\triangle XYZ$ | 7 | |
<image>If QRST is a parallelogram, find $y$ | 9 | |
<image>Find x. Round to the nearest tenth.
| 9.9 | |
<image>Find $LN$. | 29 | |
<image>Find y | 16 | |
<image>Find the area of the figure. | 150 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 420 | |
<image>Find $x$. | 8 | |
<image>Find $y$ in the given parallelogram | 2 | |
<image>Find x. | 13 \sqrt { 2 } | |
<image>Find $m \widehat {RT}$. | 126 | |
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS. | 8 | |
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle LKN$. | 81 | |
<image>Find $\angle 10$ | 50 | |
<image>Find x. | 12 | |
<image>Use parallelogram JKLM to find $m \angle JML$ if $J K=2 b+3$ and $J M=3 a$. | 80 | |
<image>Find x. Round to the nearest tenth. | 23.2 | |
<image>In the right triangle, what is $A B$ if $B C=6 ?$ | 4 \sqrt { 3 } | |
<image>Find $XZ$ of isosceles $\triangle XYZ$ | 12 | |
<image>Find y. | 10 | |
<image>Find $y$. | 15.6 | |
<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 | |
<image>Find $FH$. | 12 | |
<image>Find y. | 1.5 | |
<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 $AB$ if $AR=3x+6$ and $RB = 5x - 14 $. | 72 | |
<image>Use parallelogram JKLM to find b if $J K=2 b+3$ and $J M=3 a$. | 21 | |
<image>In the figure at the right, which cannot be true if $ m \parallel l $ and $ m ∠1 = 73 $? | \angle 1 \cong \angle 4 | |
<image>Find $m \angle R C L$ | 137 | |
<image>Find x. Assume that any segment that appears to be tangent is tangent. | 5 | |
<image>Find the value of x. | 130 | |
<image>Find the perimeter of $\triangle D E F$ if $\triangle D E F \sim \triangle A B C$ | 24 | |
<image>Find x. Round the side measure to the nearest tenth. | 22.8 | |
<image>Find $m \angle C$. | 49 | |
<image>Find $m \angle JKL$. | 60 | |
<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 } | |
<image>Find $x$. | 45 | |
<image>Find $m\angle Q$ | 60 | |
<image>Which of the following statements about the figure is true? | a + b = 90 | |
<image>Find $x$. | 18 | |
<image>Find the value of x. | 95 | |
<image>Find x. | 6 | |
<image>Find $m \angle 3$. | 95 | |
<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$. | 55 | |
<image>Find $m \angle F$. | 30 | |
<image>Find $m\angle J$ | 150 | |
<image>Find x. | 12 | |
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {ACF}$. | 270 | |
<image>Find $x$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$ | 35 | |
<image>Find x | 29.1 | |
<image>Find DE | 6 | |
<image>Find x. Round to the nearest tenth. | 5.2 | |
<image>If $R T=16, Q P=24,$ and $S T=9,$ find $P S$ | 13.5 | |
<image>Find $m \angle T$. | 135 | |
<image>Find $x$ in the figure. | 16 | |
<image>Find $x$. | 18 | |
<image>Triangle $JKL$ is circumscribed about $\odot R$. Find $x$. | 4 | |
<image>Find the area of the shaded region. Round to the nearest tenth. | 7.9 | |
<image>In $\odot A, m \angle E A D=42$. Find $m \widehat{C B E}$ | 180 | |
<image>Use parallelogram $ABCD$ to find the measure of $m\angle ADC$ | 65 | |
<image>Find x. Round to the nearest tenth, if necessary. | 11 | |
<image>Find the area of the kite. | 10.5 | |
<image>Find $y$ so that the quadrilateral is a parallelogram | 5 | |
<image>Find x. Assume that segments that appear to be tangent are tangent. | 145 | |
<image>Find $x$. | 6 | |
<image>Find the area of the figure. Round to the nearest hundredth, if necessary. | 68.6 | |
<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 $z$. | 19 | |
<image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diameter of the circle. | 17 | |
<image>Find $\angle 3$ | 110 | |
<image>Find x. | 3 \sqrt { 29 } | |
<image>ABCD is a rectangle. If $A C=9 x-1$ and $A F=2 x+7,$ find $A F$ | 13 | |
<image>Find y. | \frac { 15 } { 2 } | |
<image>Use parallelogram ABCD to find BC | 9 | |
<image>In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{W X}$ | 52 | |
<image>Find $YZ$. | 8 | |
<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 $m \angle L P Q$ | 20 | |
<image>Find x | 20 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 288 | |
<image>Find the variable of $d$ to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 16.9 | |
<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle. | \sqrt { 34 } | |
<image>Find the area of the regular polygon. Round to the nearest tenth. | 584.2 | |
<image>In $\odot B$, $m \angle LBM = 3x$ and $m \angle LBQ = 4x + 61$. What is the measure of $\angle PBQ$? | 51 | |
<image>Find $x$ so that the quadrilateral is a parallelogram. | 30 | |
<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 20$. | 40 | |
<image>Find x. Round the angle measure to the nearest degree. | 15 | |
<image>If $CN=8$. Find $DN$. | 8 | |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 480 | |
<image>Find x. Assume that segments that appear to be tangent are tangent. | 8 | |
<image>Find $\angle1$ | 112 | |
<image>Find the circumference of $\odot S$. Round to the nearest hundredth. | 40.83 | |
<image>Find $m \angle 1$. | 55 | |
<image>Find $m \angle 1$. | 65 | |
<image>Find $\angle B$ of quadrilateral ABCD | 90 | |
<image>Find $BD$. | 5 | |
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find CE | \sqrt { 63 } | |
<image>If $m \angle 2=70-4 x$ and $m \angle 5=18 x-8,$ find $m \angle 5$ | 28 | |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | 174.4 |
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