M is the segment bisector of JK and JM is equal to 40 and 9 in each case respectively.
Here, we are given 2 figures, in both the figures we can clearly see that M is the segment bisector of JK.
In the first figure, as M bisects JK
⇒ 7x + 5 = 8x
5 = 8x - 7x
5 = x
x = 5
Thus, JM = 7(5) + 5
= 35 + 5
= 40
Similarly, in figure 2, as M bisects JK
3x + 15 = 8x + 25
3x - 8x = 25 - 15
-5x = 20
x = -10/5
x = -2
Thus, JM = 3(-2) + 15
= -6 + 15
= 9
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Identify the segment bisector of JK. then find JM.
