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Mathematics
Mathematics
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, point
M
M
M
lies on
X
Y
XY
X
Y
and point
N
N
N
lies on
X
Z
XZ
X
Z
. If
X
M
=
x
+
2
cm
XM = x + 2\,\text{cm}
X
M
=
x
+
2
cm
,
M
Y
=
6
cm
MY = 6\,\text{cm}
M
Y
=
6
cm
,
X
N
=
4
cm
XN = 4\,\text{cm}
X
N
=
4
cm
and
N
Z
=
x
cm
NZ = x\,\text{cm}
N
Z
=
x
cm
where
x
>
0
x>0
x
>
0
, for which value of
x
x
x
will
M
N
MN
M
N
be parallel to
Y
Z
YZ
Y
Z
? a)
2
2
2
b)
6
6
6
c)
4
4
4
d)
40
(
≈
6.32
)
\sqrt{40}\; (\approx 6.32)
40
(
≈
6.32
)
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