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Points a,b, and are b lies between a and c. if ac=48,ab =2x+2and bc =3x+6, what is bc?

Points a,b, and are b lies between a and c. if ac=48,ab =2x+2and bc =3x+6, what is-example-1
User David Ibl
by
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1 Answer

6 votes

Given that A, B, and C are collinear and B lies between A and C, then:

AB + BC = AC

Replacing with data:

(2x + 2) + (3x + 6) = 48

(2x + 3x) + (2 + 6) = 48

5x + 8 = 48

5x = 48 - 8

5x = 40

x = 40/5

x = 8

Then,

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30

User Alvin Lindstam
by
8.1k points

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