Respuesta :

fyoung13

Answer:

9

Step-by-step explanation:

Since the triangles are clearly indentical, the ratio of their lenghts is constant

12/18 = x/13.5

x = 2/3 * 13.5

x = 27/3

x = 9

lolman981234

Answer:

9

Step-by-step explanation

ΔABC and ΔDEF are similar

∴ [tex]\frac{AC}{DE}[/tex] = [tex]\frac{AB}{EF}[/tex]

∴ [tex]\frac{12}{18}[/tex] = [tex]\frac{AB}{13.5}[/tex] = [tex]\frac{2}{3}[/tex]

∴ AB = [tex]\frac{2}{3}[/tex] × 13.5 = 9