Answer:
Explanation:
Chords the same distance from the center of a circle have the same length.
In this diagram, chords QR and ST are both 6 units from the center of the circle, so are congruent.
QR = ST
14 = 3x +2
12 = 3x . . . . subtract 2
4 = x . . . . . divide by 3
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A perpendicular to a chord from the center of the circle bisects it. This means ...
QU = (1/2)QR
QU = 1/2(14) = 7
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Additional comment
The radius of the circle can be found from the Pythagorean theorem:
ZQ = ZW = ZY = √(6²+7²) = √85