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15 votes
15 votes
Point B lies on AC between

points A and C. If...
AB = 4(x + 5), BC = 2x + 1, and
AC = 39,
find AB.

User Hot Zellah
by
2.8k points

1 Answer

13 votes
13 votes

Answer:

A___B___C

AC = AB + BC

39 = [ 4(x+5) ] + (2x +1)

39 = (4x + 20) + ( 2x +1)

39 = 6x + 21

6x = 39 - 21

6x = 18

x = 18/6

x = 3

AB = 4( x +5) = 4x + 20 = 4(3) + 20 = 12 + 20 = 32

I hope I helped you^_^

User Eugene Dorian
by
3.2k points