Questions: Quadrilateral PQRS is a parallelogram.

Quadrilateral PQRS is a parallelogram.
Transcript text: Quadrilateral $P Q R S$ is a parallelogram.
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Solution

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Solution Steps

Step 1: Set up the equation

In a parallelogram, the diagonals bisect each other. Therefore, PT = TR, which means 2y + 5 = 3y - 1.

Step 2: Solve for y

Subtract 2y from both sides: 5 = y - 1. Add 1 to both sides: 6 = y.

Final Answer

y = 6

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