Six lines are drawn, no two of which are parallel. If no more than two of the lines pass through any one point, what is the number of triangles formed?

Answers

Answer 1

Answer: I believe 20.

Take one pair of lines. They will intersect at a point (no lines parallel). The other four lines will intersect at different points (no more than two lines through one point) giving four triangles. There are 6C2 = 15 different pairs of lines so 15*4 = 60 triangles. However, each triangle will come from three different points so we need 60/3 = 20 distinct triangles.

EDIT: Now that I’m more awake, it occurs to me there is a much easier answer. Since no two lines are parallel and no three lines are coincident, every combination of three lines must form a triangle. There are 6C3 = 20 triangles.

Step-by-step explanation:

Answer 2

Answer:

20

Step-by-step explanation:

combinations

C(n,r)= n! / (r! * (n−r)!)

n = 6 : total number of lines

r = 3 : because its 3 lines to make a triangle

6 lines

6C3 = 20 triangles

quora glenn clemens

mathplanet


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

What is a life cap?

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Deeper definition

Adjustable-rate mortgages (ARMs) usually come with a series of caps that limit how much interest can be charged to the borrower after the fixed-interest period ends. The initial adjustment cap limits the change in interest for the first time rates are adjusted, and there are subsequent, or periodic, interest caps to cover upcoming changes in the interest rate.

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Step-by-step explanation: took the quiz.

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Heart if it helped

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step Explanation:

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Answers

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Answers

Answer:

442

Step-by-step explanation:

625-183=442

The more miles he have to drive is 442miles.

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Answers

Answer: $52556.40

Step-by-step explanation:

Price per share = $112.30

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Cost of the shares = 450 × $112.30 = $50535

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Answers

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4

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