AC = 20
Step-by-step explanation:
Given
[tex]AC = 9x+2\\BC = 5x+1\\AB = 9[/tex]
B is between A and C so,
[tex]AC = AB+BC\\9x+2 = 9 + 5x+1\\9x+2 = 5x+10\\9x +2-5x = 10 \\4x +2-2 = 10-2\\4x = 8[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{8}{4}\\x = 2[/tex]
Putting x=2 in AC
[tex]AC = 9(2)+2\\= 18+2\\= 20[/tex]
Hence,
AC = 20
Keywords: Linear equations, variables
Learn more about linear equations at:
- brainly.com/question/4279146
- brainly.com/question/4354581
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