Question

#13 suppose Q is the midpoint of PR

Answer 1

PQ = 31

Explanation:

Assuming you're the same person I helped before and this still has Q as the midpoint of PR, we get PQ = QR.

`PQ=2x+1=QR=5x-44\\2x+1=5x-44\\1=3x-44\\45=3x\\15=x\\x=15\\\\PQ=2(15)+1\\PQ=30+1\\PQ=31`

Answer 2

In the given question, P is mid point of PQ, therefore

• PQ = QR

let's solve for x :

`\hookrightarrow \: 2x + 1 = 5x - 44`

`\hookrightarrow \: 5x - 2x = 1 + 44`

`\hookrightarrow \: 3x = 45`

`\hookrightarrow \: x = 45 / 3`

`\hookrightarrow \: x = 15`

now, let's find measure of PQ :

`\hookrightarrow \: PQ = 2x + 1`

`\hookrightarrow \: PQ = (15 * 2) + 1`

`\hookrightarrow \: PQ = 30 + 1`

`\hookrightarrow \: PQ = 31 \: \: units`