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15 votes
15 votes
Find the value of x.

A. 10
B. 17
C. 14
D. 7

Find the value of x. A. 10 B. 17 C. 14 D. 7-example-1
User Rowman
by
2.5k points

1 Answer

17 votes
17 votes

Answer:

x = 7

Explanation:

By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.

We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.

So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.

Have a nice day, fam.

User Kcats Wolfrevo
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2.9k points