Point N is on line segment \overline{MO} MO . Given MO=3x+6,MO=3x+6, NO=5x,NO=5x, and MN=x,MN=x, determine the numerical length of \overline{NO}. NO .
Accepted Solution
A:
Answer: NO = 10Step-by-step explanation:The segment addition theorem tells you ... MN + NO = MOSubstituting the given expressions for these lengths, we have ... x + 5x = 3x+6 3x = 6 . . . . . . . . . subtract 3x x = 2 . . . . . . . . . . divide by 3We can use this value to find the length NO: NO = 5x = 5(2) . . . . substitute for x NO = 10