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Mathematics
Mathematics
Problem
In parallelogram
A
B
C
D
ABCD
A
B
C
D
, the diagonals
A
C
AC
A
C
and
B
D
BD
B
D
intersect at
O
O
O
. If
A
O
=
2
x
+
3
cm
AO = 2x + 3\,\text{cm}
A
O
=
2
x
+
3
cm
,
O
C
=
x
+
9
cm
OC = x + 9\,\text{cm}
O
C
=
x
+
9
cm
,
B
O
=
5
y
−
2
cm
BO = 5y - 2\,\text{cm}
B
O
=
5
y
−
2
cm
and
O
D
=
3
y
+
4
cm
OD = 3y + 4\,\text{cm}
O
D
=
3
y
+
4
cm
, determine the values of
x
x
x
and
y
y
y
.
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