HELP ME!!! solve for x

Answer:
x = 13.5 units
Step-by-step explanation:
Segment drawn to join the two sides of the triangle is parallel to third side of the triangle.
Therefore, by basic proportionality theorem:
[tex] \frac{12}{27} = \frac{6}{x} \\ \\ x = \frac{27 \times 6}{12} \\ \\ \huge \red{ \boxed{x = 13.5 \: units}}[/tex]