## Point O is on line segment N P ‾ NP . Given O P = 10 , OP=10, N<

Question

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
.

in progress 0
6 months 2021-07-26T09:01:50+00:00 1 Answers 32 views 0

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