Because both of the segments ar1e similar, write an equation.
We know that the segment is half of the entire segment. So we would multiply by 2 to get the entire segment
[tex]4x + 20 = 2(3x)[/tex]
Solve the equation using rules of equations.
[tex]x = 10[/tex]
LET'S CHECK
We need to plug in the value of "x".
Midsegment -- 30
Entire segment -- 60
[tex]x = 10[/tex]
because the relationships are similar.
