Question

for the triangles to be congruent by hl, what must be the value of x?
2
3
4
7

Explanation:

Step1: Match hypotenuses via HL

$3x + 3 = 15$

Step2: Solve for x (hypotenuse equation)

$3x = 15 - 3$
$3x = 12$
$x = \frac{12}{3} = 4$

Step3: Verify leg lengths with x=4

$2x + 1 = 2(4) + 1 = 9$, which matches the leg of $\triangle ABC$.

Answer:

4 (Option C: 4)