Question

N is between M and P. If MN = 5x - 8, NP = 17, and MP = 24, solve for x.

A) x = 4
B) x = 6
C) x = 8
D) x = 10
E) x = 12

Answer 1

To solve for x, set up the equation (5x - 8) + 17 = 24 and simplify to 5x + 9 = 24. Solve for x by subtracting 9 and dividing by 5.

Step-by-step explanation:

To solve for x, we need to set up an equation using the given information. We know that MN = 5x - 8, NP = 17, and MP = 24. Since N is between M and P, we can write the equation: MN + NP = MP. Substituting the given values, we have (5x - 8) + 17 = 24. Solving for x, we get 5x + 9 = 24. Subtracting 9 from both sides gives us 5x = 15. Finally, dividing both sides by 5, we find that x = 3.