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The triangle shown has a perimeter of $22$ units. If $x=9$ units and $y=7$ units, what is the value of $z$, in units?

In triangle $RST$, angle $T$ is a right angle, point $L$ lies on $\overline{RS}$, point $K$ lies on $\overline{ST}$, and $\overline{LK}$ is parallel to $\overline{RT}$. If the length of $\overline{RT}$ is $72$ units, the length of $\overline{LK}$ is $24$ units, and the area of triangle $RST$ is $792$ square units, what is the length of $\overline{KT}$, in units?

A circle has center $O$, and points $A$ and $B$ lie on the circle. The measure of arc $AB$ is ${45}^{\circ }$ and the length of arc $AB$ is $3$ inches. What is the circumference, in inches, of the circle?

In the xy-plane, a circle with radius 5 has center . Which of the following is an equation of the circle?

In the figure shown, line $c$ intersects parallel lines $s$ and $t$. What is the value of $x$?

Triangles $ABC$ and $DEF$ are congruent, where $A$ corresponds to $D$, and $B$ and $E$ are right angles. The measure of angle $A$ is $18°$. What is the measure of angle $F$?

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

In above, what is the length of  ?

What is the area, in square centimeters, of a rectangle with a length of $36$ centimeters and a width of $34$ centimeters?

In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates . If is a diameter of the circle, what are the coordinates of point Q ?

A circle in the xy-plane has its center at $\left(-5,2\right)$ and has a radius of $9$. An equation of this circle is $x^2+y^2+ax+by+c=0$, where $a$, $b$, and $c$ are constants. What is the value of $c$?

The length of a rectangle’s diagonal is $3\sqrt{17}$, and the length of the rectangle’s shorter side is $3$. What is the length of the rectangle’s longer side?

The equation $x^2+{\left(y-2\right)}^2=36$ represents circle A. Circle B is obtained by shifting circle A down $4$ units in the xy-plane. Which of the following equations represents circle B?

Two identical rectangular prisms each have a height of $90 \text{centimeters} \left(\text{cm}\right)$. The base of each prism is a square, and the surface area of each prism is $K {\text{cm}}^2$. If the prisms are glued together along a square base, the resulting prism has a surface area of $\frac{92}{47}K {\text{cm}}^2$. What is the side length, in $\text{cm}$, of each square base?

In the xy-plane above, points P, Q, R, and T lie on the circle with center O. The degree measures of angles and are each 30°. What is the radian measure of angle ?

In the figure above, segments AE and BD are parallel. If angle BDC measures 58° and angle ACE measures 62°, what is the measure of angle CAE ?

The circle shown has center $O$, circumference $144\pi$, and diameters $\overline{PR}$ and $\overline{QS}$. The length of arc $PS$ is twice the length of arc $PQ$. What is the length of arc $QR$?

The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?

For the right triangle shown, $a=4$ and $b=5$. Which expression represents the value of $c$?

The area of a rectangle is $630$ square inches. The length of the rectangle is $70$ inches. What is the width, in inches, of this rectangle?

What is the area of a rectangle with a length of $17 \text{centimeters} \left(\text{cm}\right)$ and a width of $7 \text{cm}$?

The length of a rectangle’s diagonal is $5\sqrt{17}$, and the length of the rectangle’s shorter side is $5$. What is the length of the rectangle’s longer side?

Points A and B lie on a circle with radius 1, and arc has length . What fraction of the circumference of the circle is the length of arc ?

A square is inscribed in a circle. The radius of the circle is $\frac{20\sqrt{2}}{2}$ inches. What is the side length, in inches, of the square?

Triangle $ABC$ is similar to triangle $DEF$, where angle $A$ corresponds to angle $D$ and angles $C$ and $F$ are right angles. The length of $\overline{AB}$ is $2.9$ times the length of $\overline{DE}$. If $\tan A=\frac{21}{20}$, what is the value of $\sin D$?