Answer:
QS = 76
Step-by-step explanation:
Given R is the midpoint of QS , then
RS = QR , that is
5x - 17 = 2x + 16 ( subtract 2x from both sides )
3x - 17 = 16 ( add 17 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Then
QS = QR + RS
= 2x + 16 + 5x - 17
= 7x - 1
= 7(11) - 1
= 77 - 1
= 76
