Question

Please help me i need to solve for RS

Answer 1

Answer:

        RS = 47

Step-by-step explanation:

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

So:

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