Question

Suppose M is the midpoint of PQ. If PM=6x-49 and MQ=47-2x, find PQ
Please halp

Answer 1

PQ = 46

Explanation:

PM = 6x - 49

MQ = 47 - 2x

6x - 49 = 47 - 2x

8x - 49 = 47

8x = 96

x = 12

PM = 6x - 49

= 6(12) - 49

= 23

MQ = 47 - 2x

= 47 - 2(12)

= 47 - 24

= 23

PQ = PM + MQ

= 23 + 23

= 46