Question

Point N is on line segment MO. Given MO=3x−10, NO=x, and MN=8, determine the numerical length of segment MO.

a) 5x−18
b) 2x+2
c) 4x−18
d) 5x+2
e) 4x+2

Answer 1

To find the numerical length of segment MO, set up the equation MN + NO = MO and solve for x. Then, plug the value of x into the expression MO = 3x - 10 to find the numerical length of segment MO.

Step-by-step explanation:

To find the numerical length of segment MO, we need to find the value of x.

Given that MN = 8 and NO = x, we can set up the equation MN + NO = MO. Plugging in the given values, we get 8 + x = 3x - 10.

Simplifying the equation, we get 10 + 8 = 3x - x. Combining like terms, we get 18 = 2x. Dividing both sides by 2, we find x = 9.

Now that we know the value of x, we can find the numerical length of segment MO by plugging it into the given expression: MO = 3x - 10 = (3 * 9) - 10 = 27 - 10 = 17.

Therefore, the numerical length of segment MO is 17.