Question

in the figure below, n lies between m and p. find the location of n so that the ratio of mn to np is 1 to 5. m -2 n? p 28 location of n :

Explanation:

Step1: Calculate the total number of parts

The ratio of $MN$ to $NP$ is $1:5$, so the total number of parts is $1 + 5=6$.

Step2: Find the distance between $M$ and $P$

The distance between $M(-2)$ and $P(28)$ is $28-(-2)=30$.

Step3: Calculate the length of one - part

The length of one part is $\frac{30}{6} = 5$.

Step4: Find the location of $N$

Since $MN$ is $1$ part and $M$ is at $- 2$, then $N$ is at $-2+5 = 3$.

Answer:

$3$