Geometry

Question Analysis:
Requires applying the property that opposite sides of a parallelogram are equal to solve for a variable.

Key Concept Explanation:
Opposite sides of a parallelogram are congruent, so their algebraic expressions must be equal.

Step-by-Step Solution:
Set AB = CD: 2p + 3 = 4p − 7.
Solve for p:
Subtract 2p: 3 = 2p − 7.
Add 7: 10 = 2p.
Divide by 2: p = 5.

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