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In isosceles triangle ABC below, the measures of BAC and BCA are equal and . The diagonals of trapezoid DECA intersect at F. The lengths of and are 6 centimeters, the length of is 9 centimeters, and the length of is 27 centimeters. What is the length, in centimeters, of ?

(A) 12

(B) 15

(C) 18

(D) 33

(E) 36

The Correct Answer
Explanation

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

What is the equation for a line that intersects the origin and is perpendicular to 2x– 4y= 13?

(A) y= –2(B) y= 2x(C) y= –2x(D) (E)

Correct Answer: C

As shown in the standard (x,y) coordinate plane below, A (2,4) lies on the circle with center L (10,-2) and radius 10 coordinate units. What are the coordinates of the image of A after the circle is rotated 90° counterclockwise (?) about the center of the circle?

(A)(10, 2) (B) (-2, 10) (C) (2, -8) (D) (0, -2) (E) (4,-10)

Correct Answer: E

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