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topjm [15]
2 years ago
8

Look at the picturee

Mathematics
2 answers:
Marysya12 [62]2 years ago
6 0

Answer:

the answer is d To convert any fraction to a decimal, we just need to divide its numerator by denominator. Here the fraction is 7/16 which means we need to perform 7 ÷ 16 = 0.4375. So, 7/16 as a decimal is 0.4375.

Step-by-step explanation:

Finger [1]2 years ago
5 0

Answer:

Hewo Asuna here

The answer is D

I am like 80% sure

Step-by-step explanation:

Hope this helps

Sorry if wrong

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Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

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If y = 2u₁ + 1

Not possible

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Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

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If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

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