Answer:
x = 5
Step-by-step explanation:
Using similar triangles theorem
In similar triangles, ratio of their corresponding sides are equal.
Let the point where a line cuts BC = D
Length (AB/BD) = length(AC/CD)
15/3x = 9/(2x-1)
Cross multiply
15(2x-1) = 9(3x)
Expand the brackets
30x -15 = 27x
Collecting like terms
30x-27x = 15
3x = 15
Divide through by 3
x= 15/3
x= 5
