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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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G i v e n :                               D F - A C -   i n   O

                                                                      O E = 5 x + 4

                                                                    O B = 2 x + 19

F i n d :                                             O E

Chapter 6.CR, Problem 25CR, Given:DF-AC-inO OE=5x+4 OB=2x+19 Find:OE

To determine

To Find:

The value of OE, if DF-AC- in  O, OE=5x+4 and OB=2x+19

Elementary Geometry for College Students, Chapter 6.CR, Problem 25CR

Explanation

Approach:

Theorem 6.1.1:

A radius that is perpendicular to a chord bisects the chord.

Theorem 6.1.8:

Congruent chords are located at the same distance from the center of a circle.

Calculation:

Given that DF-AC- in O

So, DF and AC are congruent chords.

So, by Theorem 6.1.8:

Congruent chords are located at the same distance from the center of a circle.

DF and AC are at the same distance from the center of a circle  O.

So, OE=OB

But it is given that, OE=5x+4 and OB=2x+19

So, 5x+4=

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