## Triangle XYZ is an equilateral triangle. YW‾ \overline{\rm YW} YW is an altitude of the triangle. If XY‾ \overline{\rm XY} XY is 10 in., what is the length of the altitude?

(A)5 in.

(B)5 √3 in.

(C)10 in.

(D)10 √3 in.

(E)5√2 in.

If the equation for the line shown in the following graph is , what is the value of kn?

(A) 9(B) 12(C) 15(D) 18(E) 24

**Correct Answer: D**

If a ratio is selected at random from the set what is the probability that the ratio is greater than

（A） （B） （C） （D） （E）

**Correct Answer: C**

An isosceles trapezoid has bases of length 5 inches and 11 inches. The area of the trapezoid is 40 square inches. What is the height of the trapezoid, in inches?

（A）4 （B） 5 （C） 7.5 （D） 17.5 （E） 35

**Correct Answer: B**

### More ACT Math Exam Questions

- 1
The product of 2 distinct positive prime numbers is an even number, and one less than the product is a prime number. All of the following prime numbers could be one of the original prime numbers EXCEPT:

- 2Three vertices of a rectangle in the standard (x, y) coordinate plane have the coordinates (-2,3), (4,3) and (4,2). What are the coordinates of the fourth vertex?
- 3In the figure below, and bisect each other at e. The measure of CAE is 80° and the measure of BDE is 60°. What is the measure of CEA?
- 4 The formula for the volume of a rectangular solid is V = lwh. If each dimension is tripled, how many times the original volume will the new volume be
- 5
In the standard (

*x*,*y*) coordinate plane below, the base of a right triangle lies along the*x*-axis and is bisected by the*y*-axis. The vertex of the angle opposite the base is on the graph of the parabolic function*f*(*x*) = 2*x*^{2}- 4. Let*b*represent any value of*x*such that - <*x*< 0. Which of the following is an expression in terms of*b*for the area, in square coordinate units, of any such right triangle?