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Pre-Calculus Homework Solutions 155

# Pre-Calculus Homework Solutions 155 - 19 Use the congruent...

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19. Use the congruent angles to write the corresponding vertices in order: ABE ACD . Write a proportion to find x . A A B C ¬ A A D E 10 10 x 2 ¬ 6.25 6.25 x 1 x 10 12 ¬ x 6.2 5 5 .25 10( x 5.25) ¬ ( x 12)(6.25) 10 x 52.5 ¬ 6.25 x 75 3.75 x 52.5 ¬ 75 3.75 x ¬ 22.5 x ¬ 6 BC x 2 6 2 or 8 ED x 1 6 1 or 5 The scale factor is A A B C AB AB BC 10 10 8 1 1 0 8 or 5 9 . 20. Use the congruent angles to write the corresponding vertices in order: RST EGF . Write a proportion to find x . R EF T ¬ G ST F 11 1 . 5 25 ¬ 1 x 0 15 x ¬ 11.25(10) 15 x ¬ 112.5 x ¬ 7.5 GF x 7.5 E SR G ¬ G ST F 2 E 0 G .7 ¬ 7 1 . 0 5 ( EG )(10) ¬ (20.7)(7.5) ( EG )(10) ¬ 155.25 EG ¬ 15.525 The scale factor is G ST F 7 1 . 0 5 or 4 3 . 21. Write proportions for finding side measures. 4 x ¬ 2.5(5) 4 x ¬ 12.5 x ¬ 3.125 4 y ¬ 3.125(5) 4 y ¬ 15.625 y ¬ 3.9 4 z ¬ 4(5) 4 z ¬ 20 z ¬ 5 4 w ¬ 5(5) 4 w ¬ 25 w ¬ 6.25 After both enlargements the dimensions were about 3.9 inches by 6.25 inches. 22. The enlargement process E can be represented by the equation E 5 4 5 4 x . 23. 5 4 5 4 2 1 5 6 24. Explore: Every millimeter represents 1 meter.
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