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HELP ASAP PLEASE HELLPPPPPPP the triangles are similar. find the missing side length of x

HELP ASAP PLEASE HELLPPPPPPP the triangles are similar find the missing side length of x class=

Respuesta :

Answer: I'm pretty sure its 78.

Step-by-step explanation:

27 x 1.5 = 18

52 x 1.5 = 78

Answer:

x = 78

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{OD}{AP}[/tex] = [tex]\frac{DT}{PN}[/tex] , substitute values

[tex]\frac{27}{18}[/tex] = [tex]\frac{x}{52}[/tex] ( cross- multiply )

18x = 1404 ( divide both sides by 18 )

x = 78