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Alexandra [31]
2 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
Phantasy [73]2 years ago
3 0

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

ΔBCD and ΔACE are the similar triangles.

Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.

\frac{AC}{BC}= \frac{EC}{DC}

\frac{AB+BC}{BC}= \frac{ED+DC}{DC}

\frac{AB+6}{6}= \frac{24+8}{8}

\frac{AB+6}{6}= \frac{32}{8}

\frac{AB+6}{6}=4

AB + 6 = 24

AB = 18

Option (B) will be the answer.

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