Question

Given that PO and EW are equidistant from the center, determine thevalue of m and n in the circle below.I don’t understand this EOC Practice from math nation

Answer 1

Chords Theorem

Congruent Chords are equidistant from the center of a circle, that means:

PO = EW and US = RU

then:

20n - 14 = -2(2n +1)

20n - 14 = -4n - 2

20n + 4n = -2 + 14

24n = 12

n = 1/2 or 0,5

And:

3m +2 = -m + 9

3m + m = 9 -2

4m = 7

m = 7/4 or 1,75