Respuesta :

devishri1977

Answer:

x = 2.5 cm

Step-by-step explanation:

In Similarity triangles, the ratio of corresponding sides of the triangles are in same.

       [tex]\sf \dfrac{AC}{BC}=\dfrac{DF}{EF}\\\\\\\dfrac{x}{2}=\dfrac{11.5}{9.2}\\\\\\x = \dfrac{11.5}{9.2}*2\\\\x = 2.5 \ cm[/tex]

caylus

Answer:

Hello,

Step-by-step explanation:

Since ABC is simular to DEF ,

[tex]\dfrac{AB}{DE} =\dfrac{AC}{DF} =\dfrac{BC}{EF} \\\\\dfrac{AB}{DE} =\dfrac{x}{11.5} =\dfrac{2}{9.2} \\\\\dfrac{x}{11.5} =\dfrac{2}{9.2} \\\\x=\dfrac{2*11.5}{9.2} \\\\x=\dfrac{5}{2} \\\\x=2.5\\[/tex]

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