Answer:
MP = 11
Step-by-step explanation:
By the Secants and Segments Theorem:
QR x QS = QM x QP
then:
(x + 4) x 4 = (x -5 + 5) x 5
4x + 16 = 5x
x = 16
MP = (x-5) = 16-5 = 11