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Which of the following is the set of real solutions for the equation 9x + 12 = 3(3x + 4)?

(F) The set of all real numbers

(G) {0,1}

(H) {0}

(J)

(K) The empty set

Given parallelogram ABCD below and parallelogram EFGH (not shown) are similar, which of the following statements must be true about the two shapes?

(F) Their areas are equal. (G) Their perimeters are equal. (H) Side AB is congruent to side EF. (J) Diagonal AC is congruent to diagonal EG. (K) Their corresponding angles are congruent.

Correct Answer: K

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V =  r 2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

(A)2 (B)4 (C)8 (D)12 (E)16

Correct Answer: B

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

(A)158

(B)132

(C)120

(D)110

(E)70

Correct Answer: D