Question

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Explanation:

Step1: Use parallelogram side property

In parallelogram $DEFG$, opposite sides are equal: $DE = FG$
$4y = 3y + 7$

Step2: Solve for $y$

Subtract $3y$ from both sides:
$4y - 3y = 7$
$y = 7$

Step3: Use parallelogram side property again

Opposite sides $EF = DG$:
$4x = x + 9$

Step4: Solve for $x$

Subtract $x$ from both sides:
$4x - x = 9$
$3x = 9$
$x = 3$

Step5: Use parallelogram diagonal property

Diagonals of a parallelogram bisect each other, so $DP = PG$.

Answer:

PG