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julia-pushkina [17]
2 years ago
11

Prove that the diagonals of a parallelogram bisect each other. The midpoint of AC is

Mathematics
1 answer:
iren2701 [21]2 years ago
3 0

Answer:

Theorem: The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD intersect at E, we must prove that AE ∼ = CE and BE ∼ = DE. The converse is also true: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Step-by-step explanation:

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. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?
evablogger [386]

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

Area of square = 100 square units

To find the value of y;

Area of a square = L²

Substituting into the formula, we have;

100 = L²

L = √100

L = 10 units

Mathematically, the perimeter of a square is given by the formula;

Perimeter of a square = 4L

Substituting into the formula, we have;

8y - 12 = 4*10

8y - 12 = 40

8y = 40 + 12

8y = 52

y = 52/8

y = 6.5 units

6 0
2 years ago
Read 2 more answers
Algebra question, please show work :))
WITCHER [35]

I dont know why but a moderator deleted my answer but I hope that you got it. It was actually A. since it was the quotient of 9 not the quotient of x.

Have a great day hon and I hope that this helped you out a lil:)

5 0
3 years ago
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Jenni is comparing the cost of two packages of socks. One package has 8 pairs of socks for $12. Another package had 3 pairs of s
Oksi-84 [34.3K]
No, because if you add on 6 more dollars to package 2 you would only have 6 socks for 12 dollars and on package A you would have 8 pairs for 12 dollars.
8 0
2 years ago
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A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?
Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

7.2=  \frac{k}{ - 4}

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

a =  -  \frac{28.8}{b}

When

b = 6

That's

a =  -  \frac{28.8}{6}

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

7 0
3 years ago
SIMPLE INTEREST
cupoosta [38]
The answer would be 5 years. I=PxRxT.
3 0
3 years ago
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