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In the figure, line $m$ is parallel to line $n$. What is the value of $w$?

The circle above has center O, the length of arc is , and . What is the length of arc ?

In triangles $ABC$ and $DEF$, angles $B$ and $E$ each have measure $27°$ and angles $C$ and $F$ each have measure $41°$. Which additional piece of information is sufficient to determine whether triangle $ABC$ is congruent to triangle $DEF$?

Triangle above is a right triangle, and . What is the length of side ?

In triangles $LMN$ and $RST$, angles $L$ and $R$ each have measure $60°$, $LN=10$, and $RT=30$. Which additional piece of information is sufficient to prove that triangle $LMN$ is similar to triangle $RST$?

Which equation shows the relationship between the side lengths of the given triangle?

The graph of $x^2+x+y^2+y=\frac{199}{2}$ in the xy-plane is a circle. What is the length of the circle’s radius?

A cube has an edge length of $41$ inches. What is the volume, in cubic inches, of the cube?

A cylinder has a diameter of $8$ inches and a height of $12$ inches. What is the volume, in cubic inches, of the cylinder?

A manufacturing company produces two sizes of cylindrical containers that each have a height of 50 centimeters. The radius of container A is 16 centimeters, and the radius of container B is 25% longer than the radius of container A. What is the volume, in cubic centimeters, of container B?

The equation above defines a circle in the xy-plane. What are the coordinates of the center of the circle?

A rectangle has an area of $63$ square meters and a length of $9$ meters. What is the width, in meters, of the rectangle?

In the triangle shown, what is the value of $\sin x°$?

Point O is the center of the circle above, and the measure of is . If the length of is 18, what is the length of arc ?

A circle in the xy-plane has a diameter with endpoints $\left(2,4\right)$ and $\left(2,14\right)$. An equation of this circle is ${\left(x-2\right)}^2+{\left(y-9\right)}^2=r^2$, where $r$ is a positive constant. What is the value of $r$?

A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the combined area of the shaded regions, in square centimeters, of the logo?

Circle A in the xy-plane has the equation ${\left(x+5\right)}^2+{\left(y-5\right)}^2=4$. Circle B has the same center as circle A. The radius of circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is ${\left(x+5\right)}^2+{\left(y-5\right)}^2=k$, where $k$ is a constant. What is the value of $k$?

What is the diameter of the circle in the xy-plane with equation ${\left(x-5\right)}^2+{\left(y-3\right)}^2=16$?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio ?

In the triangle shown, what is the value of $\tan x°$?

A cube has a volume of $\mathrm{474,552}$ cubic units. What is the surface area, in square units, of the cube?

The perimeter of an equilateral triangle is $624$ centimeters. The height of this triangle is $k\sqrt{3}$ centimeters, where $k$ is a constant. What is the value of $k$?

A right circular cone has a height of $22 \text{centimeters} \left(\text{cm}\right)$ and a base with a diameter of $6 \text{cm}$. The volume of this cone is $n\pi {\text{cm}}^3$. What is the value of $n$?

In the figure above, what is the length of ?

Triangle $XYZ$ is similar to triangle $RST$ such that $X$, $Y$, and $Z$ correspond to $R$, $S$, and $T$, respectively. The measure of $\angle Z$ is $20°$ and $2XY=RS$. What is the measure of $\angle T$?