Question

Consider the given line segment. If AC is 39cm long, answer the following questions:
A
B
9x+7
-3x+20
AB -
BC =
Is point B the midpoint? (yes or no)

Answer 1

The point which is equidistant from the endpoints of a line segment, hence, marking the middle point of the line is called the midpoint. Therefore, Point B is not the midpoint

AB + BC = AC

9x + 7 + (-3x + 20) = 39

9x + 7 - 3x + 20 = 39

6x + 27 = 39

6x = 39 - 27

6x = 12

x = 12 / 6

x = 2

9x + 7 = - 3x + 20

9(2) + 7 = - 3(2) + 20

25 = 15

Hence,

Since, AB ≠ BC, then B is not the midpoint

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