Respuesta :

Answer: QS is 76

Step-by-step explanation:

Since R is the midpoint of QS:

1) 2x+16 = 5x-17

2) 2x+16+17 = 5x-17+17

3) 2x-2x+33 = 5x-2x

4) 33 = 3x

5) 11 = x

Since the sum of QR and RS equal QS:

1) (2·11+16)+(5·11-17) = QS

2) 22+16+55-17

3) 76 = QS