Pre-Calculus Homework Solutions 184

Pre-Calculus Homework Solutions 184 - 39. Stage 2 is not...

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Unformatted text preview: 39. Stage 2 is not similar to Stage 1. 34. Since BE CD, ABE ACD and AEB ADC by the corresponding angles postulate. Then ABE ACD by the AA Similarity. Using AC CD the definition of similar polygons, AB BE . Substitute the known measures. 33 BC 33 40. 32 24 24(33 BC) 33(32) 792 24(BC) 1056 24(BC) 264 BC 11 35. Let x represent the perimeter of DEF. The perimeter of ABC 7 6 3 or 16. perimeter of perimeter of 16 x CB FE 6 9 41. perimeter of ¬ perimeter of 5(PR) 5(PR) PR PM PQ 5 13 4 60 215,996 4 8 20 20 56 x 10 0.1 10 1 x 0.1 10 0.1 x 30 x 10 9 6 9.6 6 9.6 9.96 Chapter 6 Practice Test QTP QRS Page 337 1. b 2. a 3. c x 4. 14 2x x 1 2 14 7 5. 4x 3 4x2 x2 x BPA CPD 108 x 324 81 9 ¬k 3 2 3(k 2) ¬7(k 2) 3k 6 ¬7k 14 6 ¬4k 14 20 ¬4k 5 ¬k 7. Using corresponding angles, pentagon DCABE CD 12 pentagon DGIHF. The scale factor is GD 18 or 2 : 3. 8. Using corresponding angles, PQR PST. 6. PQM to find 2 k 7 PQ PS 2x 2 2x 2 6 2x 2 2x 8 PM PQ 5 13 13(13) 169 33.8 QR ST 2x 15 2x 15 15(2x 30x 2) 2x(2x 8) 30 4x2 16x 30 4x2 14x 0 4x2 14x 30 0 2x2 7x 15 0 (x 5)(2x 3) x 5 ¬0 or 2x 3 0 3 x ¬5 x 2 3 Reject x , because otherwise QR 2x 2 and length must be positive. So, x 5. ¬ QM RQ 12 ¬ RQ 5(RQ) ¬13(12) 5(RQ) ¬156 RQ ¬31.2 The perimeter of 60 8 43. perimeter of perimeter of 12 x 4 4 ABC DEF x 13 36 13 x 36 38. Use the Pythagorean Theorem in PM. (PM)2 (QM)2 (PQ)2 (PM)2 122 132 (PM)2 169 144 (PM)2 25 PM 5 Since PQM PRQ, PQ PR 13 PR 4 x 42. ¬ 42 x 15x ¬210 x ¬14 The perimeter of QRS is 14 units. 37. Let x represent the perimeter of CPD. CPD BPA and D A, so CPD BPA by AA Similarity. Similar triangles have corresponding medians proportional to the corresponding sides, so the corresponding medians are also proportional to the perimeters. BM CN 13 3 13 2 3x 6x 144 x 24 The perimeter of DEF is 24 units. 36. Let x represent the perimeter of QRS. The perimeter of QTP 15 16 11 or 42. TQ RQ 15 5 x x3 PQR 13 33.8 31.2 or 78. QR The scale factor is ST Chapter 6 186 2x 15 2(5) 15 3, 10 15 or 2 : 3. ...
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