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Show all work. Exact answers may include radical symbols. Figures are not necessarily to scale. 1. (3 pts.) If = = =, complete the three equations: I.Xy = 11. - = III. -= x 2. (5 pts.) Solve for x: - X+10 x+2 * 2x+14 x+7 3. (4 pts.) A 2"-by-3" photograph is being enlarged so that its longest side is 2 feet wide. How long will the shorter side of the enlarged photograph be? Also, if its film negative had dimensions one-tenth the size of the original photograph, what were its dimensions? B 4. (8 pts.) Consider the figure at the right. 2 y-1 a. Write a similarity statement for the figure. D b. Solve for x and y. ly+ x C zy - 2 4 y- 8 X+ 14 A E5. (10 pts.) Consider the figure ABCDE at the right. a. Write a similarity statement for the figure. C b. Why (SSS, AA, etc.) are the triangles similar? c. Solve for x. 14 d. Suppose BD and AE are the second-biggest 3x41 sides in their triangles. Find the only possible 13 integer lengths for BD and AE. 12 D 2x+6 A 6. (4 pts.) For the figure at the right, find exact values for both variables. y 18 -2 2 7. (7 pts.) For the figure at the right, find x. Also, is the entire triangle acute, obtuse, or right? Explain. 14 18 3* +24 x+148. (4 pts. ) For the figure at the right, find x. 21 30 X 9. (6 pts.) Angle A measures 30-degrees. Angle D measures 45-degrees. Solve for x and y in the figure below. Any square-roots you get can be left as square-roots. 19 y X D