Answer: [tex]x=7[/tex]
Step-by-step explanation:
You can observe in the figure that the triangle JKL and the triangle MNP are similar, then, you can set up the following proportion:
[tex]\frac{MN}{JK}=\frac{MP}{JL}[/tex]
You can identify that:
[tex]JK=25\\MN=30\\\\JL=20\\MP=4x-4[/tex]
Knowing this, you can substitute values:
[tex]\frac{30}{25}=\frac{4x-4}{20}[/tex]
The final step is to solve for "x" in order to find its value.
Then, you get this result:
[tex](20)(\frac{30}{25})=4x-4\\\\\frac{600}{25}=4x-4\\\\24+4=4x\\\\\frac{28}{4}=x\\\\x=7[/tex]
