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in the figure below, x lies between w and y. find the location of x so …

Question

in the figure below, x lies between w and y. find the location of x so that wx is $\frac{1}{8}$ of wy. w -1 x? y 15 location of x :

Explanation:

Step1: Calculate the distance between W and Y

The distance $WY=15 - (- 1)=16$.

Step2: Calculate the length of WX

Since $WX=\frac{1}{8}$ of $WY$, then $WX=\frac{1}{8}\times16 = 2$.

Step3: Find the location of X

Let the coordinate of $X$ be $x$. We know $WX=x - (-1)$. Since $WX = 2$, then $x+1 = 2$, so $x=1$.

Answer:

$1$