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HELP ME!! i want the answer

HELP ME!! i want the answer-example-1

1 Answer

2 votes

Answer:

x = 7 , VS = 6

Explanation:

• If two chords of a circle are equidistant from the centre of the circle then they are congruent.

given ZU and ZV = 5

then the chords QR and ST are equidistant from the centre and are congruent , that is

QR = ST

2x - 2 = 12 ( add 2 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

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• If a radius is perpendicular to a chord then it bisects it.

radius ZY is perpendicular to chord ST and bisects it, so

VS =
(1)/(2) × ST =
(1)/(2) × 12 = 6

User Sorianiv
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