Math 1312 Practice Test 3 - Spring 2017 1. Refer to the triangle below to find the value of x. Write your answer in the simplest radical form. 45 x 8 45 (A) 82 (B) 83 (C) 8 (D) 42 (E) None of the above 2. Refer to the triangle below to find the value of . Write your answer in the simplest radical form. 60 x 5 30 (A) 5 (B) 10 (C) 53 (D) 52 (E) None of the above 3. Find the perimeter of a square with diagonal 12. (A) 48 (B) 62 (C) 122 (D) 242 (E) None of the above 4. Find the length of a side of a rhombus whose diagonals are 48 and 14 cm long. (A) 25 (B) 24 (C) 14 (D) 142 (E) None of the above 5. The ratio of the measure of the supplement of an angle to that of a complement of the angle is 5: 2. Find the measure of the supplement. (A) 30 (B) 60 (C) 90 (D) 150 (E) None of the above 6. Classify the triangle if the lengths of its sides are 8, 20, and 15 (A) Acute (B) Obtuse (C) Right (D) Not a triangle 7. An isosceles triangle has legs of length 25 and a base of length 30. Find the length of the altitude to the base. (A) 210 (B) 534 (C) 410 (D) 153 (E) 20 (F) None of the above 8. Find if = 3 and = 9. A B D (A) 33 (B) 27 (C) 63 C (D) 93 (E) None of the above 9. State whether the following statement is Always True, Sometimes True, or Never True. The measure of an inscribed angle is equal to the measure of an intercepted arc. (A) Always True (B) Sometimes True (C) Never True 10. How many common tangents do circles that intersect in two points have? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 11. Refer to the figure below to find . 90 140 x 120 (A) 130 (B) 70 (C) 65 (D) 60 (E) None of the above 12. Refer to the figure below to find . 170 (A) 95 (B) 90 x (C) 85 (D) None of the above 13. Given that is a tangent to the circle below, = 6, = 12, find . (A) 3 (B) 0.5 (C) 3.5 (D) 2 (E) None of the above 14. Find AE, if AC=7, BE=6, ED=2, and > . (A) 3 (B) 4 (C) 127 (D) 146 (E) None of the above 15. For a five-pointed star inscribed in the circle, find the measure of angle 1. 1 (A) 65 (B) 72 (C) 60 (D) 36 (E) None of the above 16. Quadrilateral ~ quadrilateral (not shown). = 9, and = 6. If the perimeter of is 60, find the perimeter of . (A) 90 (B) 24 (C) 36 (D) 40 (E) None of the above