Question

which value of x would make △suv ≅ △tuw by hl? 2 3 4 5

Explanation:

Step1: Recall HL (Hypotenuse - Leg) theorem

For right - triangles $\triangle SUV$ and $\triangle TUW$ to be congruent by HL, the hypotenuses must be equal. So, we set up the equation $2x + 9=4x - 1$.

Step2: Solve the equation for x

Subtract $2x$ from both sides: $2x+9 - 2x=4x - 1-2x$, which simplifies to $9 = 2x-1$.

Step3: Isolate x

Add 1 to both sides: $9 + 1=2x-1 + 1$, getting $10 = 2x$. Then divide both sides by 2: $\frac{10}{2}=\frac{2x}{2}$, so $x = 5$.

Answer:

5