Question

what value of x will make the triangles congruent by sss?
(x - 4)
x = \boxed{}

Explanation:

Step1: Identify congruent sides

For SSS congruence, corresponding sides must be equal. Side \( BC = x - 4 \) and side \( EF = 19 \) are corresponding sides (from the congruent triangle markings). So we set up the equation \( x - 4 = 19 \).

Step2: Solve for x

Add 4 to both sides of the equation: \( x = 19 + 4 \).
\( x = 23 \)

Answer:

23