CD, CE, HG, GF, AL, LB, AB, HF, DE. A line segment is comprised of any two points. The ones I listed are the ones specifically named in the picture.
To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,
BY/YC = AX/XC
Substituting the known values,
6/10 = 18/XC
The value of XC from the equation is 30. The answer is letter C.
Step 1:Solve one of the equations for either x = or y = .
Step 2:Substitute the solution from step 1 into the other equation.
Step 3:Solve this new equation.
Step 4:Solve for the second variable.
I hope this helps!