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Pre-Calculus Homework Solutions 33

# Pre-Calculus Homework Solutions 33 - Doctors use what is...

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17. Invalid; E , F , and G are not necessarily noncollinear. 18. Invalid; the hypothesis is false as there are only two points. 19. Valid; the vertices of a triangle are noncollinear, and therefore determine a plane. 20. no conclusion 21. If the measure of an angle is less than 90, then it is not obtuse. 22. If X is the midpoint of YZ , then YX XZ . 23. no conclusion 24. p : you are an in-line skater q : you live dangerously r : you like to dance Yes, statement (3) follows from (1) and (2) by the Law of Syllogism. 25. p : the measure of an angle is greater than 90 q : the angle is obtuse Yes, statement (3) follows from (1) and (2) by the Law of Detachment. 26. Invalid; statement (1) is true, but statement (3) does not follow from (2). Not all congruent angles are vertical angles. 27. p : an angle is obtuse q : the angle cannot be acute Yes, statement (3) follows from (1) and (2) by the Law of Detachment. 28. p : you drive safely q : you can avoid accidents Yes, statement (3) follows from (1) and (2) by the Law of Detachment.
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