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What is the value of x to the nearest tenth, given that PQ is an angle bisector?

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What is the value of x to the nearest tenth given that PQ is an angle bisectorHURRY I NEED THE ANSWER QUICKLY PLEASEI HAVE NIT PICKED THE ANSWER YET class=

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Answer:

x = 7

because PQ is an angle bisector

=> RQ/PR = QS/PS

<=> (x - 3)/x = 8/14 = 4/7

<=> 7(x - 3) = 4x

<=> 7x - 21 = 4x

<=> 3x = 21

<=> x = 7

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