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Ksenya-84 [330]
3 years ago
9

Consider the diagram. The length of segment QS__ is units.

Mathematics
2 answers:
Paraphin [41]3 years ago
8 0

The Length of Segment QS is 17 units.

lianna [129]3 years ago
3 0

we know that

RT=TQ -----> given problem

Applying the Pythagoras Theorem

In the right triangle RTS

RS^{2}=RT^{2}+TS^{2}

In the right triangle TQS

QS^{2}=TQ^{2}+TS^{2}

remember that

RT=TQ

therefore

RS=QS

substitute the values

(3x+2)=(5x-8)

solve for x

5x-3x=2+8

2x=10

x=5\ units

Find the value of segment QS

QS=5x-8=5*5-8=17\ units

<u>The answer is</u>

The length of segment QS is 17\ units

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