Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in the figure below, k lies between j and l. find the location of k so …

Question

in the figure below, k lies between j and l. find the location of k so that jk is $\frac{2}{9}$ of jl. j - 30 k? l 6 location of k :

Explanation:

Step1: Calculate the length of JL

$JL=6 - (-30)=36$

Step2: Calculate the length of JK

$JK=\frac{2}{9}\times JL=\frac{2}{9}\times36 = 8$

Step3: Find the location of K

Let the location of K be $x$. Since $JK=x - (-30)$ and $JK = 8$, then $x+30 = 8$, so $x=8 - 30=-22$

Answer:

$-22$