Question

solve for x.
if \\( \triangle nmk \cong \triangle trp \\), use the figure below to answer questions #1 - 3.

Explanation:

Step1: Identify corresponding sides

Since $\triangle NMK \cong \triangle TRP$, their corresponding sides are equal. The side $NM$ in $\triangle NMK$ corresponds to side $RT$ in $\triangle TRP$. From the figure, $NM = 20$ and $RT = 3x - 1$.

Step2: Set up the equation

Set the lengths of the corresponding sides equal: $3x - 1 = 20$.

Step3: Solve for x

Add 1 to both sides: $3x = 20 + 1 = 21$. Then divide both sides by 3: $x = \frac{21}{3} = 7$.

Answer:

7