Question

What is RS? Please help will give Brainlyest.

Answer 1

Answer:

        RS = 47

Step-by-step explanation:

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

Therefore:

$3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}$

3x + 5 = 4x - 11        {subtract 5 from both sides)

3x = 4x - 16             {subtract 4x from both sides)

-x = -16                   {divide both sides by (-1)}

x=16

So:

RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47