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15. In right triangle ABC, LC is a right angle. Point D is on leg AC and point E is on hypotenuse AB with AI DE. (a) If AD = 8, DE = 6, CD = 3x+ 1, and BC =x+13, find the value of y (b) If BC = 20, CD is 3 less than AD, and DE is 3 more than AD, find AD %3D %3D

15. In right triangle ABC, LC is a right angle. Point D is on leg AC and point E is on hypotenuse AB with AI DE. (a) If AD = 8, DE = 6, CD = 3x+ 1, and BC =x+13, find the value of y (b) If BC = 20, CD is 3 less than AD, and DE is 3 more than AD, find AD %3D %3D

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Solve for 15b and show different ways of factoring thanks in advance
12. In APRT, K is a point on TP and G is a point on TR such that KG PR. (a) Write an equation in terms of x that can be used to find DE. 13. Given AABC, ADEF, LA = LD, LB= LE, AB = 4, DF =6, DE=x, and If TP 20, KP = 4, and GR = 7, find TG. %3D %3D AC=x+5. (b) Find DE. 14. In the accompanying diagram of AABC, D is a point on AB, E is a point on BC, and DE || AC. If BD = 5, DA = x + 2, BE = x + 4, and EC = 2r +4, find x. %3D 15. In right triangle ABC, LC is a right angle. Point D is on leg AC. and point E is on hypotenuse AB with ADI DE. (a) If AD = 8, DE = 6, CD = 3x + 1, and BC =x+13, find the value of (b) If BC = 20, CD is 3 less than AD, and DE is 3 more than AD, find AD %3D
Transcribed Image Text:12. In APRT, K is a point on TP and G is a point on TR such that KG PR. (a) Write an equation in terms of x that can be used to find DE. 13. Given AABC, ADEF, LA = LD, LB= LE, AB = 4, DF =6, DE=x, and If TP 20, KP = 4, and GR = 7, find TG. %3D %3D AC=x+5. (b) Find DE. 14. In the accompanying diagram of AABC, D is a point on AB, E is a point on BC, and DE || AC. If BD = 5, DA = x + 2, BE = x + 4, and EC = 2r +4, find x. %3D 15. In right triangle ABC, LC is a right angle. Point D is on leg AC. and point E is on hypotenuse AB with ADI DE. (a) If AD = 8, DE = 6, CD = 3x + 1, and BC =x+13, find the value of (b) If BC = 20, CD is 3 less than AD, and DE is 3 more than AD, find AD %3D
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