Question

Please help!! What is RS?

Answer 1

Answer:

        RS = 47

Step-by-step explanation:

RV=VU and SW=WT    means    $VW=\frac{RS+UT}{2}$

So:

$3x+5=\dfrac{2x+15+6x-37}{2} \\^{\qquad\times2\qquad\qquad\qquad\qquad\times2} \\6x+10=8x-22\\^{\qquad-10\qquad-10}\\6x=8x-32\\^{-8x\qquad-8x}\\-2x=-32\\^{\div(-2)\quad\div(-2)}\\x=16\\\\RS=2x+15=2\times16+15=32+15=47$