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Arte-miy333 [17]
3 years ago
13

A window in the shape of a parallelogram has

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

Step-by-step explanation:

ABCD is parallelogram. So, AB = CD = 5 ft

h (altitude) = 4 ft

Area = base * altitude = 5*4 = 20 square feet.

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Cheri walked 12 blocks in 36 minutes. What was Cheri's speed per minute?
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Prove the following statement.
jolli1 [7]
<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

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Thus,

r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

   = 16q² + 8q + 1

   = 8(2q² + q) + 1

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<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

   = 16q² + 24q + 9

   = 8 (2q² + 3q + 1) + 1

   = 8m +1, where m = 2q² + 3q +1

Now,

<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>

Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

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3 years ago
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Step-by-step explanation:

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3 years ago
Using the rearrangement property find the sum of the following ​
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So you have to simplify



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The answer would be -6/5
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2 years ago
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