Answer:
x = 9
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other two sides, it divides those sides proportionally.
The line inside the triangle is parallel to a side of the triangle and intersects the other two sides, then
[tex]\frac{x}{24-x}[/tex] = [tex]\frac{12}{20}[/tex] ( cross multiply )
20x = 12(24 - x) ← distribute parenthesis
20x = 288 - 12x ( add 12x to both sides )
32x = 288 ( divide both sides by 32 )
x = 9
