Question

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

Explanation:

Step1: Use HL Congruence Criterion

For right - triangles \( \triangle SUV\) and \( \triangle TUW\), by HL (Hypotenuse - Leg) congruence, the hypotenuses must be equal. So, \(2x + 9=4x - 1\).

Step2: Solve the Equation for \(x\)

Subtract \(2x\) from both sides: \(2x+9 - 2x=4x - 1-2x\), which gives \(9 = 2x-1\).
Add \(1\) to both sides: \(9 + 1=2x-1 + 1\), so \(10 = 2x\).
Divide both sides by \(2\): \(x=\frac{10}{2}=5\).

Answer:

\(5\)