Respuesta :

Answer:

Step-by-step explanation:

The 2 triangles are similar so corresponding sides are in the same ratio.

3/x = 6/16

6x = 48

x = 8.

9/y = 6/16 = 3/8

3y = 72

y = 24.

fieryanswererft

Answer:

  • y = 24 m
  • x = 8 m

using proportional equation:

[tex]\rightarrow \sf \dfrac{AC}{CE} = \dfrac{DB}{DE}[/tex]

[tex]\hookrightarrow \sf \dfrac{9}{6} = \dfrac{y}{16}[/tex]

[tex]\hookrightarrow \sf 9(16)} = {6y}[/tex]

[tex]\hookrightarrow \sf y = 24[/tex]

====================

[tex]\rightarrow \sf \dfrac{AE}{CE} = \dfrac{EB}{DE}[/tex]

[tex]\hookrightarrow \sf \dfrac{3}{6} = \dfrac{x}{16}[/tex]

[tex]\hookrightarrow \sf 3(16)} = 6x[/tex]

[tex]\hookrightarrow \sf x = 8[/tex]

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