Answer:
x is equal to 12.
Step-by-step explanation:
Because the two lines are parallel to each other, and one is the base of the triangle, that means that the segments of the side lines have the same ratio to each other.
In other words, |AC| / |CE| is equal to |AB| / |BD|.
With that information, we can simply say:
[tex]\frac{4x + 6}{6} = \frac{3x}{4}\\\\24\times \frac{4x + 6}{6} = 24\times\frac{3x}{4}\\\\4(4x + 6) = 6(3x)\\\\16x + 24 = 18x\\\\2x = 24\\\\x = 12[/tex]
So x is equal to 12
