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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Given: E F | | G O | | H M | | J K | | , with transversals F J and E K ; F G = 2 , G H = 8 , H J = 5 , E M = 6
Find EO, EK

 

To determine

To find:

EO, EK

Explanation

Given:

EF||GO||HM||JK||FG=2,GH=8,HJ=5,EM=6

Then,

Calculation:

Using, “When two or more parallel lines are cut by a pair of transversal, the transversals are divided proportionally by the parallel lines”.

So,

FGEO=FHEM2EO=2+862EO=106

Cross multiplying, we get

2EO=106(EO)⋅</

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