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© 2024 kuta software llc. solve for x. 7)

Question

© 2024 kuta software llc. solve for x. 7)

Explanation:

Step1: Use the property of alternate interior angles

Since the two lines are parallel, the alternate interior angles are equal. So, \(6x + 3=45\).

Step2: Solve the equation for \(x\)

Subtract \(3\) from both sides of the equation: \(6x=45 - 3\), which simplifies to \(6x = 42\).
Then divide both sides by \(6\): \(x=\frac{42}{6}\).

Answer:

\(x = 7\)