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

Answers ( )

    0
    2021-07-26T09:03:46+00:00

    Answer:

    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 Answer:

    Final Answer:

    N

    O

    =

    24

    NO=24

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