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3 years ago

Prove that the diagonals of a parallelogram bisect each other. The midpoints are the same point, so the diagonals _____

Mathematics

1 answer:

Molodets [167]3 years ago

8 0

Answer:

Below

Step-by-step explanation:

To prove that the diagonals bisect each other we should prove that they have a common point.

From the graph we notice that this point is E.

ABCD is a paralellogram, so E is the midpoint of both diagonals.

●●●●●●●●●●●●●●●●●●●●●●●●

Let's start with AC.

● A(0,0)

● C(2a+2b,2c)

● E( (2a+2b+0)/2 , (2c+0)/2)

● E ( a+b, c)

●●●●●●●●●●●●●●●●●●●●●●●●

BD:

● B(2b,2c)

● D(2a,0)

● E ( (2a+2b)/2 , 2c/2)

● E ( a+b ,c)

●●●●●●●●●●●●●●●●●●●●●●●●●

So we conclude that the diagonals bisect each others in E.

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Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= $2(l+w)$

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∴ Perimeter of rectangular court= $2(84\ feet + 50\ feet)$

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Opening parenthesis

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2 years ago

9a-18b+21c apply distributive property to factor out gcf of all three terms

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The GCF of the three terms (9a, -18b and 21c) is 3

Rewrite each of the terms so 3 is a factor
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So we can say...
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2 years ago

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Step-by-step explanation:

Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40

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There are one in hundred million chances that the draw numbers are precisely the chosen ones.

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3 years ago

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Answer:

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divide by 15

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