Please help me i need to solve for RS

Mathematics

1 answer:

Sonbull [250]3 years ago

5 0

Answer:

Step-by-step explanation:

RV=VU and SW=WT ⇒ $VW=\dfrac{RS+UT}{2}$

So:

$3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47$

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