Q is the midpoint of line segment PR. PQ=2z, and PR = 8z - 12. Please find z, PQ, and PR.

Q is the midpoint of QR.

PQ =
2z and PR = PR = 8z-12.

To find PQ and
PR.

Solution:

 PQ =  QR as Q
is the mid point of PR by data.

2z = (1/2)(8z-12), as PQ=
2z and  QR = (1/2)PR = (1/2)(8z-12) by data.

2z = 4z-6. 
Add 6 and subtract 2z

6 = 4z
-2z

6 = 2z.

6/2 =
z.

z = 3.

Therefore PQ = QR =
2z = 2*3 = 6

PR = 2*6 = 12.