Pre-Calculus Homework Solutions 116

Pre-Calculus Homework Solutions 116 - [2 ( 1)]2 [ 3 ( 2)]2...

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13. JK 5 ¬ Ï [2 2 ( w 2 1)] 2 w 1 [ 2 3 w 2 ( 2 2 w )] 2 w 5 ¬ Ï 9 1 1 w or Ï 10 w MN 5 ¬ Ï [ 2 2 2 w ( 2 6)] w 2 1 [1 w 2 ( 2 7 w )] 2 w 5 ¬ Ï 16 1 6 w 4 w or Ï 80 w KL 5 ¬ Ï (3 2 2 w ) 2 1 [1 w 2 ( 2 3 w )] 2 w 5 ¬ Ï 1 1 16 w or Ï 17 w NP 5 ¬ Ï [5 2 ( w 2 2)] 2 w 1 (3 2 w 1) 2 w 5 ¬ Ï 49 1 4 w or Ï 53 w JL 5 ¬ Ï [3 2 ( w 2 1)] 2 w 1 [1 2 w ( 2 2)] w 2 w 5 ¬ Ï 16 1 9 w or 5 MP 5 ¬ Ï [5 2 ( w 2 6)] 2 w 1 [3 2 w ( 2 7)] w 2 w 5 ¬ Ï 121 1 w 100 w or Ï 221 w Corresponding sides are not congruent, so n JKL is not congruent to n MNP . 14. Given: n JKM > n JNM Prove: n JKL > n JNL Proof: 15. n FJH is isosceles with base J w H w .The base angles are congruent, so m / J 5 m / FHJ .Let x represent m / J and m / FHJ . m / J 1 m / FHJ 1 m / JFH 5 ¬ 180 x 1 x 1 34 5 ¬ 180 2 x 5 ¬ 146 x 5 ¬ 73 So, m / J 5 m / FHJ 5 73. 16. n JFH is isosceles with base J w H w . n FGH is isosceles with base F w H w . Step 1 The base angles of n FGH are congruent. Let x represent m / GFH and m / GHF . m / GFH 1 m / GHF 1 m / G 5 ¬ 180 x 1 x 1 32 5 ¬ 180 2 x 5 ¬ 148 x 5 ¬ 74 So, m / GFH 5 m / GHF 5 74.
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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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