Applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
A parallelogram is a quadrilateral that has two pairs of opposite sides that are congruent to each other.
Given the following:
Find x by creating an equation:
PQ = RS (congruent sides)
Substitute
9x + 1 = 13x - 11
Combine like terms
9x - 13x = -1 - 11
-4x = - 12
x = 3
Therefore, applying the definition of a parallelogram, the value of x in the length of the sides of the given parallelogram is: x = 3.
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