KhalfaniF509021 KhalfaniF509021

03-11-2022
Mathematics

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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 ab and are b lies between a and c if ac48ab 2x2and bc 3x6 what is bc class=

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JohnseX72960 JohnseX72960

03-11-2022

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

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