Question

in the figure below, n lies between m and p. find the location of n so that mn is $\frac{3}{7}$ of mp. m - 26 n? p - 5 location of n:

Explanation:

Step1: Calculate the length of MP

$MP=- 5-(-26)=-5 + 26=21$

Step2: Calculate the length of MN

$MN=\frac{3}{7}\times MP$, substituting $MP = 21$, we get $MN=\frac{3}{7}\times21 = 9$

Step3: Find the location of N

Let the location of N be $x$. Since $MN=x - (-26)$ and $MN = 9$, then $x+26 = 9$, so $x=9 - 26=-17$

Answer:

$-17$