In the figure below, the lengths of the sides of right triangle BAC are as shown. bisects side . What is the length of DC?
The day a clothing store puts out a batch of brand-name T-shirts it sells 95 shirts at $4.10 per shirt. However, each day the shirts are on the rack, the store reduces the price of the shirts by $0.02 and consequently sells 1 additional shirt with each price reduction. If x represents the number of $0.02 price reductions, which of the following expressions represents the amount of money, in dollars, that the store will take in daily in sales of these brand name T-shirts?
(A) (4.10 + 2x)(95 + x) (B) (4.10 - 2x)(95 + x) (C) (4.10 + 0.02x)(95 + x) (D) (4.10 - 0.02x)(95 + x) (E) (4.10-- 0.02x)(95 + 0.02x)
Correct Answer: D
What is the least integer value of x that makes the inequality true?
（A）7 （B） 8 （C） 9 （D） 10 （E） 11
Correct Answer: C
In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?
（A） （B） （C） （D） （E）
Correct Answer: A
More ACT Math Exam Questions
- 1Given the equation - x + 6y = 18, which of the following equations is perpendicular to the given equation?
- 2If 9 - x3 + 2 = 19, what is the value of x?
- 3Last week Dyson earned $8 per hour working at the local grocery store. This week his boss gave him a 10% raise. If he works 20 hours this week, what will his gross income be before taxes?
A function is defined for x and y such that f(x, y) = -2xy + y + x - 4. So, for x = 2 and y = 3, f(2, 3) = -2 × 2 × 3 + 3 + 2 - 4 = -12 + 1 = -11. If x and y are to be chosen such that f(x,y) = f(y,x), then which of the following restrictions must be placed on x and y?
- 5If 2x + 3y = 55 and 4x = y + 47, find x − y