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 are equal. So $2x + 9=4x - 1$.

Step2: Solve the equation for x

Subtract $2x$ from both sides: $9 = 4x-2x - 1$, 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:

$x = 5$