- S1 (2024 / Casa Grande Union High School - INT)
nment 1.3 Measuring
$1< $ Use the figure to the right to find the value of $\mathrm{PT}$. T is the midpoint of $\overline{\mathrm{PQ}}$.
\[
P T=3 x+1 \text { and } T Q=5 x-7
\]
\[
P T=\square(\text { Simplify your answer. })
\]

Answer

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Answer

Final Answer: The value of PT is $\boxed{13}$.

Steps

Step 1 ：Given that T is the midpoint of PQ, it means that PT = TQ.

Step 2 ：Therefore, we can set the two expressions equal to each other and solve for x: $3x + 1 = 5x - 7$.

Step 3 ：Solving this equation gives us the value of x as 4.

Step 4 ：Substituting x = 4 back into the expression for PT, we get PT = 13.

Step 5 ：Final Answer: The value of PT is $\boxed{13}$.