for the triangles to be congruent by hl, what must be the value of x?\no 2\no 3\no 4\no 7

Explanation:

Step1: Recall HL - Hypotenuse - Leg theorem

For right - triangles to be congruent by HL, the hypotenuses must be equal. So, we set up the equation based on the hypotenuse lengths. $3x + 3=15$

Step2: Solve the equation for x

Subtract 3 from both sides: $3x+3 - 3=15 - 3$ $3x = 12$ Divide both sides by 3: $\frac{3x}{3}=\frac{12}{3}$ $x = 4$

Answer:

4