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
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
More ACT Math Exam Questions
- 1
If the first day of the year is a Monday, what is the 260th day?
- 2For all values of θ over which sin θ and cos θ are nonzero,
- 3If you multiply a number by 3 and then add 40, the result is the same as if you first add 17 and then multiply by 2. What is the result if you subtract 9 from the number and then multiply by 4?
- 4If x2– x– 2 > 0, which of the following is the solution set for x?
- 5
Which of the following inequalities is represented by the following number line?