Question

suppose m is the mid - point of $overline{jk}$, $mk = 5x + 5$, and $jk = 48$. find x.

Explanation:

Step1: Recall mid - point property

Since M is the mid - point of $\overline{JK}$, then $MK=\frac{1}{2}JK$.

Step2: Substitute given values

We know $MK = 5x + 5$ and $JK = 48$, so $5x+5=\frac{48}{2}$.

Step3: Simplify the right - hand side

$5x + 5=24$.

Step4: Solve for x

$5x=24 - 5$, $5x=19$, $x=\frac{19}{5}=3.8$.

Answer:

$x = 3.8$