Question

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

Explanation:

Step1: Apply HL - Hypotenuse - Leg theorem

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

Step2: Solve the equation for x

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

Step3: Isolate x

Add 1 to both sides: $9 + 1=2x$, so $10 = 2x$. Then divide both sides by 2: $x = 5$.

Answer:

5