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Analyze the logical statements below and complete the instructions that follow. If two lines are parallel, then they do not intersect. Line t and line s are parallel. Use a law of logic to draw a conclusion based on the given information. A. Line t and line s do not intersect. B. Line t and line s are parallel. C. Line t and line s are in the same plane. D. Line t and line s intersect. Please select the best answer from the choices provided

1 Answer

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Answer: The law of logic used in this case is the modus ponens, which states that if "p implies q" is a true statement and p is true, then q must also be true.

Given the statement "If two lines are parallel, then they do not intersect" and the fact that "Line t and line s are parallel", we can conclude that:

A. Line t and line s do not intersect.

Therefore, the best answer is A.

Explanation:

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