2 years ago

Find the value of x

Mathematics

1 answer:

sveticcg [70]2 years ago

6 0

Answer:

Step-by-step explanation:

RQ < PR < PQ

TV < UV < UT

ΔPQR~ΔUTV ⇒ $\dfrac{RQ}{TV}=\dfrac{PR}{UV}$

$\dfrac{8}{x-3}=\dfrac{14}{x+6}\\\\8(x+6)=14(x-3)\\\\8x+48=14x-42\\\\48+42=14x-8x\\\\90=6x\\\\x=90:6=15$

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See the attached figure to better understand the problem

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