Pre-Calculus Homework Solutions 167

Pre-Calculus Homework Solutions 167 - To find y: 5. LW TS,...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: To find y: 5. LW TS, so by the Triangle Proportionality L WS Theorem, TR L RW . Substitute the known measures. 3 8 3 y 2 5y ¬ WS 6 y 6(5) ¬3(WS) 30 ¬3(WS) 10 ¬WS 6. Use the Midpoint Formula to find the midpoints of AB and AC. D 10 E ( 2) 0 6 ,2 2 4 ( 2) 0 , 2 6 2 slope of BC D(4, 3) 5y Entrance to Walkthrough Walkthrough to Clay Rd. 880 1408 1 2 BC. Pages 312–315 Practice and Apply 14. MN YZ, so by the Triangle Proportionality MY NZ Theorem, XM XN . Substitute the known measures. MY ¬9 4 6 6(MY) ¬4(9) 6(MY) ¬36 MY ¬6 XY XM MY 4 6 or 10 15. MN YZ, so by the Triangle Proportionality MY NZ Theorem, XM XN . Substitute the known measures. 10 2 ¬t 1 2 t2 8(t 2) ¬2(t 1) 8t 16 ¬2t 2 6t 16 ¬2 6t ¬18 t ¬3 9 16 . Since the sides have proportional lengths, RN QP. 10. In order to show DB AE, we must show that AB BC . 8 2 20 or 5 12 25 AB BC , so the sides do not have proportional 16. DE BC, so by the Triangle Proportionality Theorem, DB AD measures. lengths and DB is not parallel to AE. 11. To find x: 20 5x ¬2x 20 ¬7x 14 ¬7x 2 ¬x Entrance to Walkthrough Walkthrough to Clay Rd. x ¬ 1760 880(1760) ¬1408x 1,548,800 ¬1408x 1100 ¬x The distance from the entrance to the Walkthrough along Woodbury Avenue is 1100 yards. MR RQ MR RQ MN NP ED DC ED DC AB BC ED DC 8 13. The streets form a triangle cut by a Walkthrough that is parallel to the bottom of the triangle. Use the Triangle Proportionality Theorem. Talbot Rd. Woodbury Ave. 9. MQ ¬MR RQ 12.5 ¬4.5 RQ 8 ¬RQ MP ¬MN NP 25 ¬9 NP 16 ¬NP In order to show RN QP, we must show that MN NP . 9 4.5 ¬ 8 or 16 9 ¬ 16 MN Thus, MR RQ NP 4 ¬8 ¬3 y 33 3 4 or 0 00 10 ( 4) or 0 1 2 , then DE ¬7y 3 8 3y E( 3, 3) Because the slopes of DE and BC are equal, DE BC. 8. First, use the Distance Formula to find BC and DE. BC ¬ [10 ( 4)]2 (0 0)2 ¬ 196 0 ¬14 DE ¬ ( 3 4)2 (3 3)2 ¬ 49 0 ¬7 7 DE 1 14 or 2 BC If DE BC 2 12. To find x: 1 2 3x 2 ¬3x 1 3x 2 ¬ 4 1 3x ¬ 6 x ¬18 To find y: 7. If the slopes of DE and BC are equal, DE BC. slope of DE ¬3y 5 ¬2 ¬5 24 AD 24(3) 72 4 6 6 169 EC AE . Substitute the known ¬ 18 3 ¬18(AD) ¬18(AD) ¬AD Chapter 6 ...
View Full Document

Ask a homework question - tutors are online