Question

use the image below. solve for x. (1 point)

Explanation:

Step1: Set up the equation

Since the two angles are congruent (assuming the lines are parallel and using the property of corresponding angles), we have \(14x + 7=10x + 5\).

Step2: Subtract \(10x\) from both sides

\(14x-10x + 7=10x-10x + 5\), which simplifies to \(4x+7 = 5\).

Step3: Subtract 7 from both sides

\(4x+7 - 7=5 - 7\), so \(4x=-2\).

Step4: Divide both sides by 4

\(x=\frac{-2}{4}=-\frac{1}{2}\).

Answer:

\(x =-\frac{1}{2}\)