Statement:
R is the midpoint of QS.
To find out:
The measure of QS.
Solution:
- QR + RS = QS
- Since R is the midpoint of QS, then QR = RS.
- QR = 2x + 16, RS = 5x - 17.
- Therefore, 2x + 16 = 5x - 17
- or, 2x - 5x = -17 - 16
- or, -3x = -33
- or, x = -33 ÷ -3
- or, x = 11
- Therefore, QR = 2(11) + 16
- = 22 + 16 = 38
- So, QS = 2QR
- = 2 × 38
- = 76
Answer:
QS is 76.
Hope you could understand.
If you have any query, feel free to ask.
