Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Since ΔJKL is similar to ΔMNP, the ratio of the corresponding sides will be in the same proportion;
This implies that;
[tex]\frac{|JK|}{|MN|}=\frac{|JL|}{|MP|}[/tex]
We substitute the given length to obtain;
[tex]\frac{25}{30}=\frac{20}{4x-4}[/tex]
We cross multiply to get;
[tex]25(4x-4)=20\times 30[/tex]
Expand the brackets to get;
[tex]100x-100=600[/tex]
Group like terms to get;
[tex]100x=600+100[/tex]
[tex]\Rightarrow 100x=700[/tex]
Divide both sides by 100 to get;
[tex]x=7[/tex]
