Question

if (\triangle nmkcong\triangle 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 \(NM = RP\).

Step2: Set up the equation

We know \(NM = 20\) and \(RP=3x - 1\). Then the equation is \(3x-1=20\).

Step3: Solve the equation for \(x\)

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

Answer:

\(x = 7\)