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

NO =

Given : NP is a line segment

and O is the mid point

therefore, we can write

NP = NO + OP

now put the values

under NP write 2x , NO = x+7 , OP = 10

Therefore the equation that comes to us after putting values is

2x = x+7 + 10

now solving

2x - x = 7+10

x = 17

therefore

numerical length of NO = x+7

i.e. , 17 + 7 = 24

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set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x