Answer :

unicorn3125

Answer:

         x = 15

Step-by-step explanation:

RQ < PR < PQ

TV < UV < UT

ΔPQR~ΔUTV   ⇒     [tex]\dfrac{RQ}{TV}=\dfrac{PR}{UV}[/tex]

[tex]\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[/tex]

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