Solve for AB. Round your answer to the nearest tenth if necessary.

Answer:
See Below
Step-by-step explanation:
You want to find AB.
They give the equation for AB, BC, and AC
AC - BC = AB
substitute the equations
(30) - (8x + 3) = 6x + 8
30 - 8x - 3 = 6x + 8
27 - 8x = 6x + 8
+8x +8x
27 = 14x + 8
-8 -8
19 = 14x
19/14 = 14x/14
1.3571428 = x
0.1 = tenth
1.4 = x
Substitute x into the equation for AB
6(1.4) + 8
16.4
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
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[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~First~you~need~to~make~an~equation:[/tex]
[tex]2.)~Add~30~and~3~to~get~33:[/tex]
[tex]3.)~Subtract~6x~from~both~sides:[/tex]
[tex]4.)~Combine -8x~and~-6x:[/tex]
[tex]5.)~Subtract~33~from~both~sides:[/tex]
[tex]5.)~Divide~both~sides~by~-14:[/tex]
[tex]6.)~Simplify:[/tex]
[tex](To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)[/tex]
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[tex]\bold{Answer:}[/tex]
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[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]