This question is based on parallel lines proportionality that states if three or more lines intersect two traversals, then they cut the traversals proportionally.
In this case, the formula becomes:
[tex]\frac{DE}{EF}=\frac{LM}{MN}[/tex]
[tex]\frac{2x}{3x-5}=\frac{4}{5}[/tex]
[tex]10x=12x-20[/tex]
[tex]2x=20[/tex]
[tex]x=10[/tex]
The value of x = 10
To find the proportions or DE and EF,
DE = 2x = 2*10=20
EF = 3x-5 = 30-5 = 25
If we find DE/EF, it becomes 20/25 or 4/5
