Given a line segment that contains the points A, B, & C in order, and given B is the midpoint of AC, if AB = 4x - 3, and BC = 2x + 7, find x.Question 43Select one:a.4b.10c.5d.2
Question
Given a line segment that contains the points A, B, & C in order, and given B is the midpoint of AC, if AB = 4x - 3, and BC = 2x + 7, find x.Question 43Select one:a.4b.10c.5d.2
Solution
Since B is the midpoint of AC, the lengths of AB and BC are equal. Therefore, we can set the expressions for AB and BC equal to each other and solve for x:
4x - 3 = 2x + 7
Subtract 2x from both sides to get:
2x - 3 = 7
Then add 3 to both sides to solve for x:
2x = 10
Finally, divide both sides by 2:
x = 5
So, the correct answer is c. 5.
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