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question 6 (1 point) the quadrilateral is a parallelogram. solve for x.…

Question

question 6 (1 point)
the quadrilateral is a parallelogram. solve for x.
ku = 3x + 3
um = 4x - 4
x =

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(KU = UM\).
$$3x + 3=4x - 4$$

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides:
$$3x+3 - 3x=4x - 4-3x$$
$$3=x - 4$$
Add \(4\) to both sides:
$$3 + 4=x-4 + 4$$

Answer:

\(x = 7\)