Answer:
QS = 76
Step-by-step explanation:
Given R is the midpoint of QS, it means the distance from R to each endpoint is equal, that is:
QR = RS
We are given
QR = 2x + 16
RS = 5x - 17
Equating:
2x + 16 = 5x - 17
Subtracting 5x:
2x - 5x + 16 = -17
Simplifying:
-3x +16 = -17
Subtracting 16:
-3x = - 16 -17 = -33
Dividing by -3:
x = 11
Let's find
QR = 2x + 16 = 22 + 16 = 38
The length of QS is double this value: QS = 2*38 = 76
QS = 76
