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28. Given:
2 }
1
2
}
m
5
9
Prove:
m
52
18
Proof:
29. Given:
5
2
z
5
1
Prove:
z
5
6
Proof:
30. Given:
XZ
5
ZY
,
XZ
5
4
x
1
1, and
ZY
5
6
x
2
13
Prove:
x
5
7
Proof:
31. Given:
m
/
ACB
5
m
/
ABC
Prove:
m
/
XCA
5
m
/
YBA
Proof:
32. Given:
E
k
5
hf
1
W
Prove:
f
5
}
E
k
2
h
W
}
Proof:
33. Given:
m
/
ACB
5
m
/
DCE
Prove:
m
/
ACB
5
m
/
ACG
m
/
DCE
5
m
/
ECF
Proof:
Thus, all of the angle measures would be equal.
34.
Sample answer: Michael has a symmetric
relationship of first cousin with Chris, Kevin,
Diane, Dierdre, and Steven. Diane, Dierdre, and
Steven have a symmetric and transitive
relationship of sibling. Any direct line from
bottom to top has a transitive descendent
relationship.
35.
See students’ work.
36.
Sample answer: Lawyers use evidence and
testimony as reasons for justifying statements
and actions. All of the evidence and testimony is
linked together to prove a lawyer’s case similar to
a proof in mathematics.
Answers should include the following.
• Evidence is used to verify facts from witnesses
or materials.
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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