MazeT533513 MazeT533513

25-10-2022
Mathematics

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Write a paragraph proof to 4(x – 3) + 1 prove that if PQ = 4(x - 3) + 1, QR = x + 10, and x = 7, P then PQ = QR.

Write a paragraph proof to 4x 3 1 prove that if PQ 4x 3 1 QR x 10 and x 7 P then PQ QR class=

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ChristlynS168056 ChristlynS168056

25-10-2022

We have the following:

[tex]\begin{gathered} PR=PQ+QR \\ PQ=4(x-3)+1 \\ QR=x+10 \end{gathered}[/tex]

Now,

x = 7

replacing:

[tex]\begin{gathered} PQ=4(7-3)+1=4\cdot4+1=17 \\ QR=7+10=17 \end{gathered}[/tex]

Therefore, PQ = QR

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