Question

Um having problems trying figure this out its been bout 30 years since i was in school

Answer 1

Since triangles IJK and LMN are similar, the ratio between their corresponding sides is constant; then,

`(LM)/(IJ)=(MN)/(JK)=(NL)/(KI)`

Thus,

`\begin{gathered} \Rightarrow(x)/(4)=(29)/(9) \\ \text{because} \\ MN=x,LM=29,JK=4,IJ=9 \end{gathered}`

Therefore, solving for x,

`\begin{gathered} \Rightarrow x=(29)/(9)\cdot4=12.888\ldots \\ \Rightarrow x\approx12.9 \end{gathered}`

Hence, the answer is 12.9