Answer:
[tex]x=7[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Triangles JKL and MNP are similar by AA Similarity Theorem
so
Remember that
If two figures are similar then the ratio of its corresponding sides is proportional
so
[tex]\frac{JK}{MN}=\frac{JL}{MP}[/tex]
substitute the given values
[tex]\frac{25}{30}=\frac{20}{4x-4}[/tex]
solve for x
Simplify
[tex]4x-4=\frac{30}{25}(20)[/tex]
[tex]4x-4=24[/tex]
[tex]4x=24+4[/tex]
[tex]4x=28[/tex]
[tex]x=7[/tex]
