State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, write invalid. 13. Given: If two lines are parallel, then they never intersect. Given: If two lines never intersect, then they have the same slope. Conclusion: If two lines are parallel, then they have the same slope. Answer:
State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, write invalid. 13. Given: If two lines are parallel, then they never intersect. Given: If two lines never intersect, then they have the same slope. Conclusion: If two lines are parallel, then they have the same slope. Answer:
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 6CT: Name the type of reasoning used in the following scenario. While shopping for a new television,...
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![State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion
from the given statements. If it's an invalid conclusion, write invalid.
13. Given: If two lines are parallel, then they never intersect.
Given: If two lines never intersect, then they have the same slope.
Conclusion: If two lines are parallel, then they have the same slope.
Answer:
14. Given: If the Patriots win their next game, then they will win their division.
Given: If the Patriots win their next game, then they will go to the playoffs.
Conclusion: If the Patriots win their division, then they will go the playoffs.
Answer:
15. Given: If you sell $1000 worth of popcorn, then your Boy Scout dues are free.
Given: Ethan sold $1000 worth of popcorn.
Conclusion: Ethan's Boy Scout dues are free.
Answer:
16. Given: If you are at least 18 years old, then you can apply for a credit card.
Given: Kelly applied for a credit card.
Conclusion: Kelly is at least 18 years old.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92cd1f25-532e-4f20-954e-3f488bb83cf7%2Ff38083cd-9c0d-4d33-ba77-758c445b6f27%2Fu2uwoo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion
from the given statements. If it's an invalid conclusion, write invalid.
13. Given: If two lines are parallel, then they never intersect.
Given: If two lines never intersect, then they have the same slope.
Conclusion: If two lines are parallel, then they have the same slope.
Answer:
14. Given: If the Patriots win their next game, then they will win their division.
Given: If the Patriots win their next game, then they will go to the playoffs.
Conclusion: If the Patriots win their division, then they will go the playoffs.
Answer:
15. Given: If you sell $1000 worth of popcorn, then your Boy Scout dues are free.
Given: Ethan sold $1000 worth of popcorn.
Conclusion: Ethan's Boy Scout dues are free.
Answer:
16. Given: If you are at least 18 years old, then you can apply for a credit card.
Given: Kelly applied for a credit card.
Conclusion: Kelly is at least 18 years old.
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