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JulijaS [17]
3 years ago
5

Please work it out down below.

Mathematics
1 answer:
Anna35 [415]3 years ago
5 0

Answer:

16

Step-by-step explanation:

3 |a-b| +2|b-1|

a= -2 and b=-4

3 |-2--4| +2|-4-1|

3 |-2+4| +2|-4-1|

3 |2| +2|-5|

Absolute value means takes whatever is inside and make it positive

3*2 +2*5

6 +10

16

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 BC ≈ 17.0 (neither Crow nor Toad is correct)

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The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.

The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.

The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.

Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)

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3 years ago
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