Question

Solve for x................................

Answer 1

`\huge\boxed{\sf x=6}`

Explanation:

Statement:

A line parallel to one side of a triangle and intersecting the other two sides divides them proportionally.

Solution:

According to the statement:

`\displaystyle (x+3)/(x) = (18)/(12) \\\\Cross \ Multiply\\\\12(x + 3) = 18 * x\\\\12x + 36 = 18x \\\\Subtract \ 12x \ from \ both \ sides\\\\36 = 18x - 12x\\\\36 = 6x\\\\Divide \ both \ sides \ by \ 6\\\\36/6=x\\\\6 = x\\\\\boxed{x=6}\\\\\rule[225]{225}{2}`