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Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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6. In the diagram below, ABCD is a quadrilateral plane where line AC intersects line DE at F.
B
Given AB = 10x „AD = 10 y .AË =AB, BĊ = ED.
%3D
a) Express the following in terms of x and
(i) BD
(i) BC
b) Given AF = kFC and AF = AE + h ED. Express
() AF in terms of k, x and y
(i) AF in terms of h, x and y
c) Hence, find the value of k and of h.
Transcribed Image Text:6. In the diagram below, ABCD is a quadrilateral plane where line AC intersects line DE at F. B Given AB = 10x „AD = 10 y .AË =AB, BĊ = ED. %3D a) Express the following in terms of x and (i) BD (i) BC b) Given AF = kFC and AF = AE + h ED. Express () AF in terms of k, x and y (i) AF in terms of h, x and y c) Hence, find the value of k and of h.
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