Answer:
RS = 47
Step-by-step explanation:
RV=VU and SW=WT ⇒ [tex]VW=\dfrac{RS+UT}{2}[/tex]
Therefore:
[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}[/tex]
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
