Pre-Calculus Homework Solutions 171

Pre-Calculus Homework Solutions 171 - 37. Let y represent...

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Unformatted text preview: 37. Let y represent the length of the wire from the smaller pole. 302 402 ¬y2 900 1600 ¬y2 2500 ¬y2 50 ¬y Let z represent the length of the wire from the top of the smaller pole to the coupling. z 50 z ¬ 39. Given: D is the midpoint of AB. E is the midpoint of AC. Prove: DE BC; DE 1 BC 2 A E D B C Proof: Statements 25 40 1. D is the midpoint of AB. E is the midpoint of AC. 2. AD DB, AE EC B Statements 1. DB AD AD 2. AD EC AE DB AD Reasons 1. Given AE AE EC AE 2. Addition Prop. AD AE 5. Substitution 2AD, AC AC 2, AE AB 8. AD Proof: 4. Segment Addition Postulate AB 7. AD C AD DB, AE EC 6. AB E 3. Def. of segments 5. AB AC A DB, AE 4. AB AC EC 38. Given: DB AD AE Prove: DE BC 1. Given 3. AD 25z ¬15(50 z) 25z ¬750 15z 40z ¬750 z ¬18.75 The coupling is 18.75 feet down the wire from the top of the smaller pole. D Reasons 25 AC AE 9. 3. ADADDB AE EC AE DB, EC 4. Segment Addition Postulate AD, AE 2AE AD AE 8. Transitive Prop. 9. Reflexive Prop. A 10. AD AC AE 6. A A 7. ADE ABC 8. ADE ABC 8. Def. of 5. Substitution ADE ABC 10. SAS Similarity 11. 7. SAS Similarity 9. DE BC 6. Substitution 7. Division Prop. 2 3. Substitution 4. AB AC 5. AB A EC 2. Midpoint Theorem ADE ABC 11. Def. of polygons 12. DE BC 12. If corr. are , then the lines are parallel. BC 13. DE AB AD 13. Def. of polygons BC 14. DE 2 14. Substitution Prop. 6. Reflexive Prop. polygons 9. If corr. are , then the lines are . 15. 2DE 15. Mult. Prop. BC 1 2 BC 16. DE 16. Division Prop. 40. Figure is not shown actual size. A B 41. A 42. A 173 B B C C D D E C Chapter 6 ...
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