Question

if △nmk ≅ △trp, use the figure below to answer questions #1 - 3. solve for x

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle NMK\cong\triangle TRP\), their corresponding sides are equal. So \(NM = TR\).

Step2: Substitute the values

We know \(NM = 20\) and \(TR=3x - 1\). Then we have the equation \(3x - 1=20\).

Step3: Solve the equation

Add \(1\) to both sides of the equation: \(3x-1 + 1=20 + 1\), which simplifies to \(3x=21\).
Divide both sides by \(3\): \(x=\frac{21}{3}=7\).

Answer:

\(x = 7\)