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Pre-Calculus Homework Solutions 94

# Pre-Calculus Homework Solutions 94 - 33 Given Prove R RST...

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33. Given: RST XYZ Prove: XYZ RST Proof: 34. a. Given b. Given c. Congruence of segments is reflexive. d. Given e. Def. of lines f. Given g. Def. of lines h. All right are . i. Given j. Alt. int. are . k. Given l. Alt. int. are . m. Def. of s 35. Given: DEF Prove: DEF DEF Proof: 36. SMP TNP , MPS NPT 37. Sample answer: Triangles are used in bridge design for structure and support. Answers should include the following. • The shape of the triangle does not matter. • Some of the triangles used in the bridge supports seem to be congruent. 38. B; by the order of the vertices in the triangle names, AC XZ 39. D; DF [3 ( 5)] 2 ( 7 4) 2 64 121 or 185 Page 198 Maintain Your Skills 40. x 40 ¬ 115 41. x 42 ¬ 100 x ¬ 75 x ¬ 58 42. x x 30 ¬ 180 2 x ¬ 150 x ¬ 75 43. BC CD , so BC CD . 2 x 4 ¬ 10 2 x ¬ 6 x ¬ 3 BC 2 x 4 2(3) 4 or 10 CD 10 BD x 2 3 2 or 5 44. HKT is equilateral, so HK HT hence HK HT . x 7 ¬ 4 x 8 15 ¬ 3 x 5 ¬ x HK KT HT 4 x 8 4(5) 8 or 12 45. m ¬ ( ( y x 2 2 y x 1 1 ) ) ¬ 4 3 0 3 or 3 2 y ¬ mx b y ¬ 3 2 x 3 46. y ¬ mx b y ¬ 3 4 x 8 47. m ¬ 4 y y 1 ¬ m ( x x 1 ) y 1 ¬ 4[ x ( 3)] y 1 ¬ 4 x 12 y ¬ 4 x 11 48. y y 1 ¬ m ( x x 1 ) y 2 ¬ 4[ x ( 3)] y 2 ¬ 4 x 12 y ¬ 4 x 10 49. d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ [1 ( 1)] 2 (6 7) 2 ¬ 4 1 or 5 50.
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