Respuesta :

FOZMIN

Answer:

from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.

Answer:

x = 33 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

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

[tex]\frac{PT}{RS}[/tex] = [tex]\frac{QT}{QS}[/tex], substitute values

[tex]\frac{24}{20}[/tex] = [tex]\frac{40}{x}[/tex] ( cross- multiply )

24x = 800 ( divide both sides by 24 )

x = [tex]\frac{800}{24}[/tex] = 33 [tex]\frac{1}{3}[/tex]

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