How to find x (similar triangles)

Answer:
x = 2
Step-by-step explanation:
Parallel lines divides the transversals in proportion.
Therefore,
[tex] \frac{9}{4} = \frac{13.5}{x + 4} \\ \\ 9(x + 4) = 13.5 \times 4 \\ \\ 9(x + 4) = 54 \\ \\ x + 4 = \frac{54}{9} \\ \\ x + 4 = 6 \\ \\ x = 6 - 4 \\ \\ x = 2[/tex]