251
Chapter 8
21.
Opposite sides of a parallelogram are congruent.
Find
x
and
y.
y
1
2
x
5
¬
4
y
5
¬
2
2
x
1
4
5
y
2
2
x
5
¬
3
y
1
2
x
2
y
5
¬
4
x
y
5
¬
2
x
Find
x
.
2
x
5
¬
2
2
x
1
4
4
x
5
¬
4
x
5
¬
1
So,
y
5
2(1) or 2.
22.
Since the opposite sides of a parallelogram are
parallel, there are two pairs of alternate interior
angles formed by the diagonal of the
parallelogram. Find
x
and
y.
25
x
5
¬
100
x
5
¬
4
10
y
5
¬
40
y
5
¬
4
23.
Since the opposite sides of a parallelogram are
parallel, there are two pairs of alternate interior
angles formed by the diagonal of the
parallelogram. Find
y
in terms of
x
.
}
1
2
}
y
5
¬
x
2
12
y
5
¬
2
x
2
24
Opposite angles of a parallelogram are congruent.
Find another equation for
y
in terms of
x
.
3
y
2
4
5
¬
4
x
2
8
3
y
5
¬
4
x
2
4
y
5
¬
}
4
3
}
x
2
}
4
3
}
Find
x
by setting the two expressions for
y
equal
to each other
}
4
3
}
x
2
}
4
3
}
5
¬
2
x
2
24
}
6
3
8
}
5
¬
}
2
3
}
x
34
5
¬
x
So,
y
5
2(34)
2
24 or 44.
24.
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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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