Question

Find the value of PR if Q is between P and R

when PQ=25, PQ=2x+1, and QR=x.
X
ат
X=8

Answer 1

`PR = 37`

Explanation:

Given

`PQ = 25`

`PQ = 2x +1`

`QR = x`

Required

PQ

Since Q is between the given points, then:

`PR = PQ + QR`

This gives:

`PR = 2x + 1 + x`

Collect like terms

`PR = 2x + x+ 1`

`PR = 3x + 1`

Next, solve for x

We have:

`PQ = 25`

`PQ = 2x +1`

This gives:

`2x + 1 = 25`

Collect like terms

`2x = 25 -1`

`2x = 24`

Divide by 2

`x = 12`

So:

`PR = 3x + 1`

`PR = 3 * 12 + 1`

`PR = 37`