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Tasya [4]
3 years ago
6

N is a positive integer. Explain why n(n-1) must be an even number.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0
If N is a positive integer, it must be either even or odd. If N is odd, then N-1 will be even. If N is even, then N-1 will be odd. Either way, when you multiply n and n-1, one of those expressions is going to be an even number, and any number multiplied by an even number is an even number. Hope this helps! :)
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Two supplementry angles are in the ratio of 5:7 . find the measure of the angles
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Answer:

75 degrees and 105 degrees

Step-by-step explanation:

Supplementary angles are those angles that sum up to 180 degrees

So angle A + B = 180 or B = 180 - A

then A/B = 5/7

7A = 5B

7A = 5(180 - A)

7A = 900 - 5A

12A = 900

A = 75

then B = 180 - A = 180 - 75 = 105

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3 years ago
Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?
Vika [28.1K]
<span>Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
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A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
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