Question

Find the value of x

Answer 1

Answer:

         x = 15

Step-by-step explanation:

RQ < PR < PQ

TV < UV < UT

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

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