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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.
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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 4(x – 3) + 1 prove that if PQ = 4(x - 3) + 1, QR = x + 10, and-example-1
User Seva Poliakov
by
3.4k points

1 Answer

3 votes

We have the following:


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

Now,

x = 7

replacing:


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

Therefore, PQ = QR

User Swadesh Behera
by
4.0k points
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