Respuesta :

c62712

Answer:

PQ = 31

Step-by-step explanation:

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

[tex]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[/tex]

Solution :

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

  • PQ = QR

let's solve for x :

[tex] \hookrightarrow \: 2x + 1 = 5x - 44[/tex]

[tex] \hookrightarrow \: 5x - 2x = 1 + 44[/tex]

[tex] \hookrightarrow \: 3x = 45[/tex]

[tex] \hookrightarrow \: x = 45 \div 3[/tex]

[tex] \hookrightarrow \: x = 15[/tex]

now, let's find measure of PQ :

[tex] \hookrightarrow \: PQ = 2x + 1[/tex]

[tex] \hookrightarrow \: PQ = (15 \times 2) + 1[/tex]

[tex] \hookrightarrow \: PQ = 30 + 1[/tex]

[tex] \hookrightarrow \: PQ = 31 \: \: units[/tex]

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