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elena-14-01-66 [18.8K]
3 years ago
8

What is the length of AC?

Mathematics
2 answers:
choli [55]3 years ago
8 0
I think it is  C not sure if i'm correct though
Lana71 [14]3 years ago
7 0

Answer:

C. 126

Step-by-step explanation:

We have been given a diagram. We are asked to find the length of AC.

We can see that triangle CDE is similar to triangle CBA.

We know that corresponding sides of similar triangles are proportional, so we can set an equation as:

\frac{140-x}{x}=\frac{81}{9}

\frac{140-x}{x}*x=\frac{81}{9}*x

140-x=9x

Switch sides:

9x=140-x

9x+x=140-x+x

10x=140

\frac{10x}{10}=\frac{140}{10}

x=14

\overline{AC}=140-x

\overline{AC}=140-14

\overline{AC}=126

Therefore, the length of line segment is 126 and option C is the correct choice.

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