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Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.

User Kayasa
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1 Answer

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Given:

Point O is on line segment NP.

OP=10, NP=2x, and NO=x+7.

To find:

The numerical length of NO.

Solution:

If point O is on line segment NP, then by segment addition property, we get


NP=NO+OP


2x=(x+7)+10


2x=x+17

Subtract both sides by x.


2x-x=17


x=17

The value of x is 17.

Now,


NO=x+7


NO=17+7


NO=24

Therefore, the numerical length of NO is 24units.

User Alejandro Aranda
by
8.5k points
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