Which of the following could be the degree measures of two angles in a right triangle? Indicate all such angles.

a. $20^{\circ}$ and $70^{\circ}$

b. $30^{\circ}$ and $60^{\circ}$

c. $45^{\circ}$ and $45^{\circ}$

d. $55^{\circ}$ and $55^{\circ}$

e. $75^{\circ}$ and $75^{\circ}$

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$$\begin{array}{c}A B=B C=E G \\F G=8\end{array}$$

$$\begin{array}{cc} \text{Quantity A} && \text{Quantity B} \\ \text{The area of square A B C D} && 32 \end{array}$$

a. Quantity $\mathrm{A}$ is greater.

b. Quantity $\mathrm{B}$ is greater.

c. The two quantities are equal.

d. The relationship cannot be determined from the information given.

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$(a, 6)$ is a point (not shown) in Quadrant I

$(-6, b)$ is a point (not shown) in Quadrant II.

$$\begin{array}{cc}\text { Quantity } \mathbf{A} & \text { Quantity } \mathbf{B} \\ a & b\end{array}$$

a. Quantity $\mathrm{A}$ is greater.

b. Quantity $\mathrm{B}$ is greater.

c. The two quantities are equal.

d. The relationship cannot be determined from the information given.

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A piece of twine with length of $t$ is cut into two pieces. The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece. Which of the following is the length, in yards, of the longer piece?

a. $\frac{t+3}{3}$

b. $\frac{3 t+2}{3}$

c. $\frac{t-2}{4}$

d. $\frac{3 t+4}{4}$

e. $\frac{3 t+2}{4}$

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The circle with center $D$ is drawn inside the circle with center $C,$ as shown in the figure above. If $C D=3,$ what is the area of semicircle $E A B ?$

a. $\frac{9}{2} \pi$

b. $9 \pi$

c. $12 \pi$

d. $18 \pi$

e. $36 \pi$

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For the final exam in a scuba diving certification course, Karl navigates from one point in a lake to another. Karl begins the test $x$ meters directly beneath the boat and swims straight down toward the bottom of the lake for 8 meters. He then turns to his right and swims in a straight line parallel to the surface of the lake and swims 24 meters, at which point he swims directly from his location, in a straight line, back to the boat. If the distance that Karl swims back to the boat is 26 meters, what is the value of $x ?$

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$$\begin{array}{cc}\text { Quantity } \mathbf{A} & \text { Quantity } \mathbf{B} \\ \text{The circumference of a circular region with radius r} & \text{The perimeter of a square with side r}\end{array}$$

a. Quantity A is greater.

b. Quantity B is greater.

c. The two quantities are equal.

d. The relationship cannot be determined from the information given.

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Triangle $A B C$ is contained within a circle with center $C .$ Points $A$ and $B$ lie on the circle. If the area of circle $C$ is $25 \pi,$ and the measure of angle $A C B$ is $60^{\circ},$ which of the following are possible lengths for side $A B$ of triangle $A B C ?$ Indicate all such lengths.

a. 3

b. 4

c. 5

d. 6

e. 7

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$$\begin{array}{cc}\text { Quantity } \mathbf{A} & \text { Quantity } \mathbf{B} \\ x & 5.9 \end{array}$$

a. Quantity A is greater.

b. Quantity B is greater.

c. The two quantities are equal.

d. The relationship cannot be determined from the information given.

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$$\begin{array}{cc}\text { Quantity } \mathbf{A} & \text { Quantity } \mathbf{B} \\ f & g \end{array}$$

a. Quantity A is greater.

b. Quantity B is greater.

c. The two quantities are equal.

d. The relationship cannot be determined from the information given.

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Given points $A(2,3)$ and $B(x, y)$ in the rectangular coordinate system above, if $y=4.2,$ then $x=$

a. 2.6

b. 2.8

c. 2.9

d. 3.0

e. 3.2

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In rectangle $A B C D$ above, which of the following is the area of the triangle $A B D ?$

a. 6

b. 7.5

c. 10

d. 12

e. 15

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$$\begin{array}{cc}\text { Quantity } \mathbf{A} & \text { Quantity } \mathbf{B} \\ \text { The area of triangle } AOB & \text{The area of the shaded region} \end{array}$$

a. Quantity A is greater.

b. Quantity B is greater

c. The two quantities are equal.

d. The relationship cannot be determined from the information given.

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The circumference of the circle with center $O$ shown above is $15 \pi$ LMNO is a parallelogram and $\angle O L M=108^{\circ} .$ What is the length of minor arc $A B$?

a. $15 \pi$

b. $9 \pi$

c. $3 \pi$

d. $2 \pi$

e. $\pi$

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