9514 1404 393
Answer:
x = 6
PM = 50
MQ = 50
PQ = 100
Step-by-step explanation:
The two halves of the segment are the same length:
PM = MQ
7x +8 = 5x +20
2x = 12 . . . . . . . . . subtract 5x+8
x = 6 . . . . . . . . . . . divide by 2
PM = 7(6)+8 = 42+8
PM = 50
MQ = 5(6) +20 = 30+20
MQ = 50
PQ = PM +MQ = 50 +50
PQ = 100
