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

Answer:

$PR = 37$

Step-by-step 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:

$PR = 3x + 1$

$PR = 3 * 12 + 1$

$PR = 37$