Question

PQ = 2x + 1 and QR = 5x - 44; Find PQ

Answer 1

`PQ=31\ units`

Explanation:

we know that

In this problem Q is the midpoint of PR

so

`PQ=QR`

we have

`PQ=2x+1` -----> equation A

`QR=5x-44` -----> equation B

equate equation A and equation B

`2x+1=5x-44`

solve for x

`5x-2x=1+44`

`3x=45`

`x=15`

Find the value of PQ

`PQ=2x+1` ------>
`PQ=2(15)+1=31\ units`