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The four midpoints of the sides of a square represent four points on a circle. Line segments connect the opposing corners of the square. This circle and these line segments divide the square into how many individual, non-overlapping regions of nonzero area?

(A) 4

(B) 5

(C) 10

(D) 12

(E) 24

The Correct Answer
Explanation

In the following figure, fis the midpoint of . Which of the following are the coordinates of f?

(A) (B) (C) (D) (E)

Correct Answer: D

For some real number a, the graph of y = (a + 3)x + 5 in the standard (x, y) coordinate plane passes through the point (3, 11). What is the slope of this line?

(A)-5 (B) -2 (C) -1 (D) 2 (E) 5image

Correct Answer: D

For all real values of y, 3 - 2(4 - y) = ?

(A) -2y - 9 (B) -2y + 8 (C) -2y - 1 (D) 2y - 5 (E) 2y + 11

Correct Answer: D

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