   Chapter 5.6, Problem 8E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Given: l 1 ∥ l 2 ∥ l 3 , A B = 5 , B C = x , D E = x − 2 , E F = 7 Find: x , B C , D E To determine

To find:

x,BC,DE.

Explanation

Given:

l1l2l3 and AB=5,BC=x,DE=x2,EF=7.

Theorem used:

When three (or more) parallel lines are cut by a pair of transversals, the transversals are divided proportionally by the parallel lines.

Calculation:

Given: l1l2l3

Since when three (or more) parallel lines are cut by a pair of transversals, the transversals are divided proportionally by the parallel lines.

ABDE=BCEF

Also given that AB=5,BC=x,DE=x2,EF=7.

Thus 5x2=x7.

Now let us find the value of x.

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