Question

the two triangles in the figure below are congruent by sss. what is the value of x?

Explanation:

Step1: Use congruent triangle property

Since the two triangles are congruent by SSS (Side - Side - Side), \(2x + 13=5x + 1\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(13 = 3x+1\).
Subtract \(1\) from both sides: \(12 = 3x\).
Divide both sides by \(3\): \(x = 4\).

Answer:

\(4\)