Question

in exercises 7 and 8, identify the segment bisector of (overline{jk}). then find (jm). (see example 2.) 7.

Explanation:

Step1: Use property of segment bisector

Since the line (or whatever the bisecting entity is) bisects $\overline{JK}$, we know that $JM = MK$. So, $7x + 5=8x$.

Step2: Solve for $x$

Subtract $7x$ from both sides of the equation $7x + 5=8x$. We get $5 = 8x-7x$, so $x = 5$.

Step3: Find $JM$

Substitute $x = 5$ into the expression for $JM$ which is $7x + 5$. Then $JM=7\times5 + 5=35 + 5=40$.

Answer:

$JM = 40$