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3 years ago

which statement is the contrapositive of p ? p: if two angles are complementary, then the sum of their measures is 90

Mathematics

1 answer:

Over [174]3 years ago

5 0

Answer: If the sum of the measures of two angles is not 90°, then they are not complementary angles.

<u>Step-by-step explanation:</u>

Contrapositive of p → q is ~q → ~p where p is the hypothesis and q is the conclusion.

Hypothesis (p) = Two angles are complementary

~p = Two angles are not complementary

Conclusion (q) = The sum of their measures is 90°

~q = The sum of their measures is not 90°

~ p → ~q = If the sum of the measures of two angles is not 90°,

then they are not complementary angles.

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3 years ago

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xxMikexx [17]

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3 years ago

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Advocard [28]

Answer:

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Step-by-step explanation:

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3 years ago

Lynne bought a bag of grapefruit, 1 5_ 8 pounds of apples, and 2 __3 16 pounds of bananas. The total weight of her purchases was

solmaris [256]

Answer:

3 11/16 pounds

Step-by-step explanation:

Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?'

The Total weight = Weight of grape fruits + Weight of Apples + Weight of Bananas

Let the weight of the grape fruit = x

7 1/2 = x + 1 5/8 + 2 3/16

x = 7 1/2 - (1 5/8 + 2 3/16)

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x = 7 1/2 - 3 + (13/16)

x = 7 1/2 - 3 13/16

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x = 3 11/16 pounds

Therefore, the bag of grapefruits weighed 3 11/16 pounds

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3 years ago