In 
XYZ, shown below, 
= 30. Which of the following represents the length of 
?
(Note: For a triangle with sides of lengths x, y, and z, and respective opposite angles measuring X, Y, and Z, it will be true that: 
, according to the law of sines.)
(A)
(B) 
(C) 
(D) 
(E) 
In the figure below, ABCD is a rectangle, AB = AE, and E, F, G, and H lie on AD. Of the angles 
BEA, BFA, BGA, BHA, and ∠BDA, which one has the greatest tangent?
(F) ∠BEA (G) ∠BFA (H) ∠BGA (J) ∠BHA (K) ∠BDA
Correct Answer: F
What is the sum of the two values of x that satisfy the equation 4x2 – 3x – 1 = 0?
(A) 0.75(B) 1.25(C) 2.5(D) –0.75(E) –1.25
Correct Answer: A
As shown in the figure below, a compass has marks for every 10° and "North" and "South" are the endpoints of a line segment. If the point of the needle of this compass travels 42 mm as it moves in a clockwise direction from "East" to "North," how long is the needle to the nearest tenth of a millimeter?
(A) 6.7 (B) 8.9 (C) 13.4 (D) 14 (E) 17.8
Correct Answer: B
More ACT Math Exam Questions
- 1What is the solution set for the inequality 6 - 4(x - 2) > 4x + 5?
- 2
The area of a trapezoid is found by multiplying the height by the average of the bases: A=
h(b1+b2). Given the side measurements below, what is the area, in square inches, of the trapezoid?
- 3
A rectangular piece of cloth has a length of 6 feet and a width of 1.5 feet. Brad estimates that the area is 12 square feet. His estimate is approximately what percent greater than the actual area?
- 4A sensor records a piece of data every .0000000038 seconds. The sensor will record 100,000,000,000 pieces of data in how many seconds?
- 5At a convenience store, two candy bars and two bags of potato chips cost $4.00, and three candy bars and two bags of potato chips cost $4.75. What is the price of one bag of potato chips?