In the figure below, C and D are both on the measure of BAC is equal to the measure of DAE and the measure of ACD is equal to the measure of ADC. Which of the following statements must be true?
(Note: The symbol ≅ means "is congruent to.")
(F) ABC is similar to AED.
(G) The areas of triangles ACD and ADE are equal.
(H)
(J)
(K) and are perpendicular.
In the following figure, line aand line b are parallel and pass through the points shown. What is the equation for line b?
(F) (G) (H) (J) (K)
Correct Answer: H
A restaurant decides on the following production model, where N is the number of ounces of flour the restaurant purchases each month, based on the number of ounces, x, the restaurant uses during the preceding month. N = x2 - 600x - 160,000. According to this model, what is the greatest quantity of flour, in number of ounces, that the restaurant can use during a month, without having to purchase any new flour the next month?
(A) 800 (B) 550 (C) 400 (D) 350 (E) 200
Correct Answer: A
If and , what is the ratio of f:h?
(A) 1:06(B) 1:08(C) 1:10(D) 1:12(E) 1:20
Correct Answer: C
More ACT Math Exam Questions
- 1In the circle below, O is the center and measures 5 inches from chord . The area of the circle is 169π square inches. What is the length of , in inches?
- 2What is cos given that = + and that cos (a+b) = cos a (cos b) - sin a (sin b)? (Note: You may use the following table of values.)
- 3Violet is baking a mixed berry pie that contains blueberries, cherries, blackberries, and raspberries. She uses three times as many blackberries as cherries, twice as many blueberries as raspberries, and the same number of blackberries and raspberries. If Violet has 10 cherries, how many of each of the other berries must she use? Raspberries Blueberries Blackberries
- 4
A circle has a radius that is the same length as the sides of a square. If the square has a perimeter of 64 square inches, what is the area, in square inches, of the circle?
- 5In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ?