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Point B is between A and C. If AB = 3x, BC = 4x-2, and AC = 12, find the length of BC

2 Answers

8 votes

Answer:

BC = 6 units

Explanation:

given that B is between A and C , then

AB + BC = AC ( substitute values )

3x + 4x - 2 = 12

7x - 2 = 12 ( add 2 to both sides )

7x = 14 ( divide both sides by 7 )

x = 2

Then

BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6

User Nevin Raj Victor
by
5.6k points
4 votes

Answer:

6

Explanation:

from the question, since point B is between Ac

AC = AB + BC

12 = 3X+4X -2

3X+4X-2 = 12

7X = 12+2

7X = 14

dividing bothsides by 7

7X/7 = 14/7

X = 2

the length BC = 4X-2 = 4(2)-2 = 8-2= 6

length of BC = 6

User Vincent Biragnet
by
4.8k points