Answer:
RS = 47 units
Step-by-step explanation:
The midsegment is half the sum of the parallel bases, that is
3x + 5 = [tex]\frac{1}{2}[/tex] ( 2x + 15 + 6x - 37)
3x + 5 = [tex]\frac{1}{2}[/tex] (8x - 22) = 4x - 11 ( subtract 4x from both sides )
- x + 5 = - 11 ( subtract 5 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
Thus
RS = 2x + 15 = 2(16) + 15 = 32 + 15 = 47
