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llelogram. allelogram property. 54) xa = 22 az = 21x + 1 12

Question

llelogram.
allelogram property.

  1. xa = 22

az = 21x + 1
12

Explanation:

Step1: Recall parallelogram diagonals bisect each other.

In a parallelogram, the diagonals bisect each other. So, \( XA = AZ \).

Step2: Set up the equation.

Given \( XA = 22 \) and \( AZ = 21x + 1 \), we set \( 22 = 21x + 1 \).

Step3: Solve for \( x \).

Subtract 1 from both sides: \( 22 - 1 = 21x \), so \( 21 = 21x \). Divide both sides by 21: \( x = \frac{21}{21} = 1 \).

Answer:

\( x = 1 \)