Point n is on line segment mo. given mn = x, mo = 3x - 6,
and no = x + 1, determine the numerical length of mo.

Step-by-step explanation:

N is between points M and O

MN = x

MO = 3x - 6

NO = x + 1

The way it reads MN + NO = MO

x + x + 1 = 3x - 6

2x + 1 = 3x - 6

2x - 2x +1 = 3x -2x - 6

1 = x - 6          

1 + 6 = x

x = 7

MO = 3x - 6

MO = 3*7 - 6

MO = 21 - 6

MO = 15

the answer is 40.

proof:

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.