What is the value of x?

Answer:
B, x=5
Step-by-step explanation:
Both triangles are similar with a ratio of 22.5/9
so using that an equation can be created like this, [tex]\frac{22.9}{9}[/tex] = [tex]\frac{23.5}{x+4.4}[/tex]
If simplified, 22.9(x + 4.44) = 23.5(9)
22.5x + 99 = 211.5
22.5x = 112.5
x = 5