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iris [78.8K]
3 years ago
7

How many different lines pass through a 3x3-point grid if a line only needs two points?

Mathematics
2 answers:
lions [1.4K]3 years ago
7 0

Answer:

How many different lines pass through a 3x3-point grid if a line only needs two points?

Step-by-step explanation:

The answer being (93)=9! 3! 6! =9⋅8⋅73⋅2⋅1=84 possible arrangements.

irinina [24]3 years ago
7 0

Answer:

Well, there are 9 points. If you choose 2 of them, that gives a straight line. So you can try to find all the ways you can choose two points.

But you over-count, because some lines go through three points. So the question is 1: How many lines go through 3 points? And 2: How many times have you 'over-counted' these lines?

Step-by-step explanation:

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Answer:

20 liters of the 40% solution

60-20=40 liters of the 70% solution

Step-by-step explanation:

40%x+70%(60-x)=60%(60)

0.4x+0.7(60-x)=0.6(60)

0.4x+42-0.7x=36

-0.3x+42=36

-0.3x=-42+36

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0.3x=6

3x=60

x=60/3

x=20 liters of the 40% solution

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check: 0.4*20=8

0.7*40=28

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Answer:

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Step-by-step explanation:

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enot [183]
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For a 3,4,5 triangle the smallest angle measure would be 45 degrees.

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3 years ago
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seropon [69]

Answer:

67.5°, 107.5°

Step-by-step explanation:

For supplementary angles, their sum equals 180°.

Let x be the first angle and y be the second angle, then

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substituting x into the equation, we have

y + 45° + y = 180°

simplifying, we have

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collecting like terms, we have

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dividing through by 2, we have

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Since y = 67.5°

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one solution,x=- 14

Step-by-step explanation:

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