natalie407888
05.10.2020 •
Mathematics
Point O is on line segment
N
P
‾
NP
. Given
O
P
=
10
,
OP=10,
N
P
=
2
x
,
NP=2x, and
N
O
=
x
+
7
,
NO=x+7, determine the numerical length of
N
O
‾
.
NO
.
Solved
Show answers
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Ответ:
Step-by-step explanation:
Point O is on line segment
N
P
‾
NP
. Given
O
P
=
10
,
OP=10,
N
P
=
2
x
,
NP=2x, and
N
O
=
x
+
7
,
NO=x+7, determine the numerical length of
N
O
‾
.
NO
.
Label known information:
Label known information:
N
O
P
x + 7
10
NP = 2x
N
O
+
O
P
=
NO+OP=
N
P
NP
x
+
7
+
10
=
x+7+10=
2
x
2x
x
+
17
=
x+17=
2
x
2x
−
2
x
−2x+17=
−
2
x
−2x
−
x
+
17
=
−x+17=
0
0
−
17
−17=
−
17
−17
−
x
=
−x=
−
17
−17
−
x
−
1
=
−1
−x
=
−
17
−
1
−1
−17
x
=
x=
17
17
Plug in value of
x
to find
N
O
:
Plug in value of x to find NO:
N
O
=
x
+
7
=
17
+
7
=
24
NO=x+7=17+7=24
You can plug
x
into each expression:
You can plug x into each expression:
N
O
P
(17) + 7
10
NP = 2(17)
Simplify:
Simplify:
N
O
P
24
10
NP = 34
Final
Final
N
O
=
24
NO=24
Ответ: