Answer:
x = 12
Step-by-step explanation:
The figure in the question was split into the triangles in the attachment to the solution.
Now applying the principle of similar triangles, we have:
[tex]\frac{16}{x} = \frac{x}{9}[/tex]
cross-multiplying, we have:
[tex]x^{2} = 16*9 = 144[/tex]
solving for x,
x = 12
