Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
B. Write a conclusion based on the two true statements given using the Law
of Detachment or the Law of Syllogism, and state which law is used. If a
conclusion is not possible, write no conclusion.
1. Statement a:
If the measure of an angle is 90°, then it is a right angle.
Statement b:
If an angle is right, then it is not acute.
Conclusion:
Law used:
2. Statement a:
If the measure of an angle is less than 90°, then it is acute.
Statement b:
ZIGO measures less than 90°.
Conclusion:
Law used:
3. Statement a:
If two angles form a linear pair, then they are supplementary.
Statement b:
If angles are supplementary, then their sum is 180°.
Conclusion:
Law used:
4.
Statement a:
If two angles are adjacent, then they share a common side.
Statement b:
Two angles which share a common side have a common vertex.
Conclusion:
Law used:
5. Statement a:
If two lines are intersecting, then the two lines are coplanar.
Statement b:
Lines h and r are coplanar.
Conclusion:
Law used:
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Transcribed Image Text:B. Write a conclusion based on the two true statements given using the Law of Detachment or the Law of Syllogism, and state which law is used. If a conclusion is not possible, write no conclusion. 1. Statement a: If the measure of an angle is 90°, then it is a right angle. Statement b: If an angle is right, then it is not acute. Conclusion: Law used: 2. Statement a: If the measure of an angle is less than 90°, then it is acute. Statement b: ZIGO measures less than 90°. Conclusion: Law used: 3. Statement a: If two angles form a linear pair, then they are supplementary. Statement b: If angles are supplementary, then their sum is 180°. Conclusion: Law used: 4. Statement a: If two angles are adjacent, then they share a common side. Statement b: Two angles which share a common side have a common vertex. Conclusion: Law used: 5. Statement a: If two lines are intersecting, then the two lines are coplanar. Statement b: Lines h and r are coplanar. Conclusion: Law used:
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