Answer:
x = 3
AB = 6
Step-by-step explanation:
Look at the picture.
B is between A and C. Therefore
[tex]AB + BC = AC[/tex]
We have the equation:
[tex]2x+7=6x-5[/tex] subtract 7 from both sdies
[tex]2x+7-7=6x-5-7[/tex]
[tex]2x=6x-12[/tex] subtract 6x from both sides
[tex]2x-6x=6x-6x-12[/tex]
[tex]-4x=-12[/tex] divide both sides by (-4)
[tex]\dfrac{-4x}{-4}=\dfrac{-12}{-4}[/tex]
[tex]x=3[/tex]
Calculate the length of AB:
[tex]AB=2x\to AB=2(3)=6[/tex]
