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Svetlanka [38]
3 years ago
15

Part 2 .............

Mathematics
1 answer:
Arada [10]3 years ago
4 0
1) <ABC
2) 120
3) 22
4) <GFH
5) 29
6) 90
7) 45
8) 63
9) 45
10) 110
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1 (15 Points]. Prove the following statement: is divisible by 3 if only if it is a sum of three consecutive integers. be ddvisbk
Alinara [238K]

Answer:

<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.

Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:

n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).

So, n can be written as 3 times another integer, thus n is divisible by 3.

<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.

Assume that n is divisible by 3. The above proof suggest that we write it as

n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).

As k, k+1, k+2 are three consecutive integers, we have completed our goal.

Step-by-step explanation:

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Identify the domain of the relation.* {(8,5), (2, 2), (-9, 4), (-7,-4), (-7, 7) }​
mario62 [17]

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8, 2, - 9, - 7

Step-by-step explanation:

The domain is the first coordinate of an ordered pair. This means that the domain is going to be x. In this set of ordered pairs, the domain is 8, 5, - 9,   - 7.

Hope This Helps :)

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Your bakery is in a large shopping center the entire shopping center is 4500 square feet your bakery takes up 1/10 of the space
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450 square feet

Step-by-step explanation:

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What are the parts needed to creat a box plot?
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a box plot displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

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