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Keith_Richards [23]
3 years ago
15

10 POINTS!! HELP ASAP!! What is the length of AC?

Mathematics
2 answers:
il63 [147K]3 years ago
8 0

Answer:

D.  144

Step-by-step explanation:

Triangle BAC is similar to triangle DEC, so you can set up a ratio:

\frac{84}{156-x} = \frac{7}{x}

Then cross multiply

84x = 7 (156 - x)

84x = 1092 - 7x

Add 7x to both sides.

91x = 1092

Divide both sides by 91.

x = 12

AC = 156 - x

AC = 156 - 12

AC = 144

My name is Ann [436]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is

\frac{CE}{CA} = \frac{ED}{AB} , substitute values

\frac{x}{156-x} = \frac{7}{84} = \frac{1}{12} ( cross- multiply )

12x = 156 - x ( add x to both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Thus

AC = 156 - x = 156 - 12 = 144 → D

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