Respuesta :

Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

[tex]\frac{16}{24} =\frac{12}{x}[/tex]

[tex]\frac{2}{3} =\frac{12}{x}[/tex]

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!