Question

1. solve for x. (13x + 2) (5x - 7) (3x - 4)

Explanation:

Step1: Use the property of congruent angles

Since the two angles \(3x + 2\) and \(5x-7\) are congruent (assuming they are corresponding angles in a congruent triangle or some other congruent - figure context), we set up the equation \(3x+2 = 5x - 7\).

Step2: Solve the linear equation for \(x\)

Subtract \(3x\) from both sides:
\(3x+2-3x=5x - 7-3x\)
\(2 = 2x-7\)
Add \(7\) to both sides:
\(2 + 7=2x-7 + 7\)
\(9 = 2x\)
Divide both sides by \(2\):
\(x=\frac{9}{2}=4.5\)

Answer:

\(x = 4.5\)