Answer: x = 10.8
Step-by-step explanation:
These triangles will be similar, as given by the shared angle and the parallel sides. Using this information, we can create and solve a proportion to find x.
Proportion:
[tex]\displaystyle \frac{x}{12} =\frac{9}{10}[/tex]
Cross-multiply:
x * 10 = 12 * 9
Multiply:
10x = 108
Divide both sides of the equation by 10:
x = 10.8
