Answer:
[tex]PQ=31\ units[/tex]
Step-by-step explanation:
we know that
In this problem Q is the midpoint of PR
so
[tex]PQ=QR[/tex]
we have
[tex]PQ=2x+1[/tex] -----> equation A
[tex]QR=5x-44[/tex] -----> equation B
equate equation A and equation B
[tex]2x+1=5x-44[/tex]
solve for x
[tex]5x-2x=1+44[/tex]
[tex]3x=45[/tex]
[tex]x=15[/tex]
Find the value of PQ
[tex]PQ=2x+1[/tex] ------> [tex]PQ=2(15)+1=31\ units[/tex]
