Explanation: 1- getting the value of m: We are given that: NQ = 4m and NQ = 12 This means that: 12 = 4m [tex] \frac{4m}{4} = \frac{12}{4} [/tex] m = 3
2- getting MQ: We are given that: MQ = 5m + 1 We have calculated that: m = 3 Therefore: MQ = 5(3) + 1 = 15 + 1 = 16 units
3- getting MN: We are given that point N is located somewhere between points M and Q. This means that: line MQ can be divided into two portions: MN and NQ This also means that: length of MQ = length of MN + length of NQ
We have calculated that: MQ = 16 units We are given that: NQ = 12 units Therefore: 16 = length of MN + 12 length of MN = 16 - 12 length of MN = 4 units
