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nignag [31]
3 years ago
5

A group of young men is walking from the skate park to their homes at midnight on a Thursday evening. They are all wearing knit

caps and black clothing.
Law
1 answer:
-Dominant- [34]3 years ago
5 0

Answer:

the answer

Explanation:

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Given AB | | DE. Triangle A B C. Side A B is 12 miles and B C is x miles. Triangle C D E. Side C D is 6 miles and D E is 8 miles
Crank

Answer:

12 miles

Explanation:

Two triangles are similar if their two corresponding angles are congruent (equal) to each other.

if their two corresponding angles are of equal this also means that the third angle is also equal and corresponding.

ΔABC ∼ ΔEDC (two corresponding angles are congruent)

Therefore to find the sides, we use the following proportions:

\frac{AC}{AE}=\frac{BC}{BD}=\frac{DE}{AB}

BC = x miles, CD = 6 miles. Therefore BD = BC + CD = (6 + x) miles

DE = 8 miles, AB = 12 miles

Therefore:

\frac{BC}{BD}=\frac{DE}{AB}\\\frac{x}{x+6}=\frac{8}{12}\\48 + 8x = 12x\\ 12x-8x=48\\4x=48\\ x=48/4=12\\x=12miles

6 0
4 years ago
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