Pre-Calculus Homework Solutions 155

Pre-Calculus - 19 Use the congruent angles to write the corresponding vertices in order ABE Write a proportion to find x AB AC 10 10 x2 10 x 12

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19. Use the congruent angles to write the corresponding vertices in order: n ABE , n ACD . Write a proportion to find x . } A A B C } 5 ¬ } A A D E } } 10 1 10 x 1 2 } 5 ¬ } 6.25 6 1 .25 x 2 1 } } x 1 10 12 } 5 ¬ } x 1 6.2 5 5 .25 } 10( x 1 5.25) 5 ¬ ( x 1 12)(6.25) 10 x 1 52.5 5 ¬ 6.25 x 1 75 3.75 x 1 52.5 5 ¬ 75 3.75 x 5 ¬ 22.5 x 5 ¬ 6 BC 5 x 1 2 5 6 1 2 or 8 ED 5 x 2 1 5 6 2 1 or 5 The scale factor is } A A B C } 5 } AB A 1 B BC } 5 } 10 1 1 0 8 } 5 } 1 1 0 8 } or } 5 9 } . 20. Use the congruent angles to write the corresponding vertices in order: n RST , n EGF . Write a proportion to find x . } R EF T } 5 ¬ } G ST F } } 11 1 . 5 25 } 5 ¬ } 1 x 0 } 15 x 5 ¬ 11.25(10) 15 x 5 ¬ 112.5 x 5 ¬ 7.5 GF 5 x 5 7.5 } E SR G } 5 ¬ } G ST F } } 2 E 0 G .7 } 5 ¬ } 7 1 . 0 5 } ( EG )(10) 5 ¬ (20.7)(7.5) ( EG )(10) 5 ¬ 155.25 EG 5 ¬ 15.525 The scale factor is } G ST F } 5 } 7 1 . 0 5 } or } 4 3 } . 21.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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