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umka21 [38]
2 years ago
14

Using the following image, solve the problems below given that B is the midpoint of AC.

Mathematics
1 answer:
ladessa [460]2 years ago
3 0

Answer:

AB = 4

BC = 4

AC = 8

Step-by-step explanation:

Given, B is the midpoint of AC which means it divided the AC into two equal parts. Using this information we can write the following equation:

5x - 6 = 2x add 6 to both sides

5x = 2x + 6 subtract 2x from both sides

3x = 6 divide both sides by 3

x = 2 to find the length of AB, AC, and BC replace x with 2

AB = 5*2 - 6

BC = 2*2

AC = 8 (sum of AB and BC)

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