Answer:
PQ=4.5
Explanation:
if Qis the midpoint between PR, we immediately get to know that 2QR=PR. The question immediately tells us that QR is half of PR, so we can use that to our help.
Now, since 2QR=PR, we can make the equations equal by multiplying whole QR by 2
we get 2(6-3x)=14x+2
=>12-6x=14x+2
=>12-2=14x+6x
=>10=20x
=>x=10/20
=>x=1/2
since Q is the midpoint of PR, PQ=QR,
=>PQ=6-3x
and then you can put the value of x in PQ by substitution
on substituting x=1/2 in PQ, we get
PQ=6-3(1/2)
PQ=6-1.5
PQ=4.5
hope this helped!! feel free to reach out to me in case you need anymore explaination!