Question

May I please get help with this problem? For I am confused on how I can get the correct answer after many tries to find the correct answer

Answer 1

Get the ratio of the corresponding sides to get the scale factor

`\begin{gathered} (NJ)/(TP)=(1)/(0.8)=1.25 \\ \\ (JK)/(PQ)=(2)/(1.6)=1.25 \\ \\ (LK)/(RQ)=(3)/(2.4)=1.25 \end{gathered}`

The scale factor is 1.25, therefore using the same ratio of the corresponding sides we have

`\begin{gathered} (MN)/(ST)=1.25 \\ \\ \text{Substitute }MN=4,ST=x \\ (MN)/(ST)=1.25 \\ (4)/(x)=1.25 \\ x=(4)/(1.25) \\ \\ \text{Therefore,} \\ x=3.2 \end{gathered}`