Respuesta :

Answer:

  H  x/10 = 18/8

Step-by-step explanation:

The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.

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  [tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]

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Additional comment

The values used in the other answer ratios are not "corresponding."

Answer:

H

Step-by-step explanation:

∠ADE is a scaled version of ∠ ABC.

So,

18:8

and

10:x

Ratios can be expressed as fractions:

[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].

Since the scale factor is the same,8/18 has to be the same as 10/x.

Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].

Hope this helps!!!

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This took a lot of effort.

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