Question

which value of x would make △suv≅△tuw by hl? 2 3 4 5 2x + 9 4x - 1

Explanation:

Step1: Apply HL - Hypotenuse - Leg theorem

For $\triangle SUV\cong\triangle TUW$ 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 $9 = 2x - 1$.
Add 1 to both sides: $9+1=2x$, so $10 = 2x$.
Divide both sides by 2: $x=\frac{10}{2}=5$.

Answer:

5