Question

for the triangles to be congruent by hl, what must be the value of x?

Explanation:

Step1: Identify HL congruence conditions

Right triangles need hypotenuse and one leg equal.

Step2: Set hypotenuses equal

First triangle hypotenuse = 15, second = 3x+3. So 3x+3=15.

Step3: Solve for x from hypotenuse

3x=15-3=12 → x=4.

Step4: Verify leg equality

Second triangle leg: 2x+1=2(4)+1=9, which equals first triangle leg (9).

Answer:

4