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In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays  and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:

(A)are equal.

(B)are NOT equal.

(C)sum to 30°.

(D)sum to 45°.

(E)sum to 60°.

If 6x² + x - c = (cx - 1)(3x + 2), what is the value of c?

（A）-2 （B） -1 （C） 2 （D） 3 （E） 6

Correct Answer: C

Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation: , where T₁ and T₂ represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and T_c represents the time needed for hoses 1 and 2 to fill the pool working together. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?

(A) 3 (B) 10 (C) 15 (D) 18 (E) 40

Correct Answer: C

Which of the following inequalities represents the graph shown below on the real number line?

(A) 0 < x < 5 (B) 0 < x ≤ 4 (C) -2 < x ≤ 4 (D) 1 < x ≤ 4 (E) 0 < x ≤ 4

Correct Answer: B