Question

Determine the value of x

Answer 1

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


`4x + 20 = 2(3x)`
Solve the equation using rules of equations.

`x = 10`
LET'S CHECK

We need to plug in the value of "x".

Midsegment -- 30
Entire segment -- 60


`x = 10`
because the relationships are similar.