Question

in the figure below, x lies between w and y. find the location of x so that the ratio of wx to xy is 4 to 1. w -1 ? x y 24 location of x :

Explanation:

Step1: Calculate the total number of parts

The ratio of $WX$ to $XY$ is $4$ to $1$, so the total number of parts is $4 + 1=5$.

Step2: Find the distance between $W$ and $Y$

The distance between $W(-1)$ and $Y(24)$ is $24-(-1)=25$.

Step3: Find the length of one - part

The length of one part is $\frac{25}{5}=5$.

Step4: Find the distance from $W$ to $X$

Since the ratio of $WX$ to $XY$ is $4$ to $1$, the distance from $W$ to $X$ is $4\times5 = 20$.

Step5: Calculate the coordinate of $X$

Starting from $W(-1)$ and moving $20$ units to the right, the coordinate of $X$ is $-1+20 = 19$.

Answer:

$19$