MATHEMATICS COLLEGE

Which statement is true about this argument?Premises:

If two angles form a linear pair, then they are supplementary.

If two angles are supplementary, then the sum of their measures is 180∘.

Conclusion:

If two angles form a linear pair, then the sum of their measures is 180∘.


A The argument is valid by the law of detachment.

B The argument is valid by the law of syllogism.

C The argument is not valid because the conclusion does not follow from the premises.

D The argument is not valid because the premises are not true.

Answers

Answer 1
Answer:

Answer:

the answer is: The argument is valid by the law of syllogism.

Step-by-step explanation:

thanks for the wrong answer other guy.
Answer 2
Answer:

Final answer:

The argument mentioned in the question is valid by the Law of Syllogism in mathematics, which says that if 'if p then q' and 'if q then r' are two implications then 'if p then r' can be deduced from them.

Explanation:

In the context of this question, the correct answer would be (B) The argument is valid by the law of syllogism. The Law of Syllogism states that if we have two conditionals, 'if p then q' and 'if q then r', and and q is the same in both, then we can deduce a new conditional 'if p then r'.

In this case:

  • 'p' is 'two angles form a linear pair'
  • 'q' is 'they are supplementary'
  • 'r' is 'the sum of their measures is 180∘'

So, 'if p then q' is 'If two angles form a linear pair, then they are supplementary', 'if q then r' is 'If two angles are supplementary, then the sum of their measures is 180∘'. Therefore, we can deduce the new conditional 'If two angles form a linear pair (p), then the sum of their measures is 180∘ (r)', which is the conclusion mentioned.

Learn more about Law of Syllogism here:

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Peter weighs 156 pounds, but he would like to wrestle in a lower weightclass. He loses 4 pounds one week, gains back 2 pounds the next, loses 5
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Answers

Answer:

146 pounds

Step-by-step explanation:

He starts at 156 pounds.

1st week: He loses 4 pounds, indicating 156 - 4, or 152.

2nd week: He gains 2 pounds, indicating 152 + 2, or 154.

3rd week: He loses 5 pounds, indicating 154 - 5, or 149.

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Help plsss it’s timed i need to passss plsss

Answers

Answer:

65°

Step-by-step explanation:

To obtain Angle A, we use the cosine rule ;

Cos A = (b² + c² - a²) / 2bc

Cos A = (12² + 14² - 14²) / 2(12)(14)

Cos A = 144 / 336

A = Cos^-1(144/336)

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Determine the measure of < 7
o 53
o 133
o 127
o 47
​

Answers

Answer:
• 127

Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127

Hope this helps! Good luck :)

Please help me.
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Answers

Answer:

16

Step-by-step explanation:

count the dots. each is one observation
Yep it is 16 the answer

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

The 2nd one is correct

Step-by-step explanation:
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