Respuesta :

Luv2Teach

Answer:

Step-by-step explanation:

These triangles are similar. That means that the corresponding side lengths exist in proportion to one another.  Namely,

[tex]\frac{DE}{BA}=\frac{CE}{CA}[/tex]

Filling in those values gives us

[tex]\frac{9}{81}=\frac{x}{140-x}[/tex] and cross multiply to solve:

9(140 - x) = 81x and

1260 - 9x = 81x and

1260 = 90x so

x = 14

That means that side length AC is 140 - 14 which is 126. Choice B.

TheAnimeGirl

Answer:

126

Option B is the right option.

Solution,

[tex] \frac{140 - x}{x} = \frac{81}{9} \\ or \: \frac{140 - x}{x} = 9 \\ or \: 140 - x = 9x \\ or \: - x - 9x = 140 \\ or \: - 10x = 140 \\ or \: x = \frac{ - 140}{ - 10} \\ x = 14 \\ again \\ ac = 140 - 14 \\ \: \: \: \: \: \: \: = 126[/tex]

hope this helps...

Good luck on your assignment..

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