x = 7
Step-by-step explanation:
Since we have the two parallel lines we can use the Triangle Proportionality Theorem.
We can set this up in the way I put in the photo below. You will want to put one side over the other, and follow the exact pattern again.
I chose:
[tex]\frac{40}{2x+10} = \frac{5}{3}[/tex]
You will then want to cross multiply, but you will want to distribute the 5 to 2x + 10.
[tex]5(2x+10)[/tex]
[tex]5*2x=10x[/tex]
[tex]5*10=50[/tex]
So... [tex]10x+50=?[/tex]
Now that we have distributed, we can cross multiply the other side.
[tex]40*3=120[/tex]
We can set them equal to each other now.
[tex]10x+50=120[/tex]
Subtract 50 from both sides.
[tex]10x=70[/tex]
Divide.
x = 7
