Question

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

Answer 1

`\bold{Hello!}\\\bold{Your~Answer~Is~Below!}`

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`\bold{Solution~Steps:}`

`1.)~First~you~need~to~make~an~equation:`

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  `\bold{30-8x+3=6x+8}`

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  `\bold{You~do~this~by~using~all~the~information~available~and~set~it~up~to~solve~for~AB.}`

`2.)~Add~30~and~3~to~get~33:`

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  `\bold{33-8x=6x+8}`

`3.)~Subtract~6x~from~both~sides:`

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  `\bold{33x-8x-6x=8}`

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  `\bold{Causes~signs~to~change~and~the~equation~gets~rearranged.}`

`4.)~Combine -8x~and~-6x:`

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  `\bold{-8x-(-6x)=-14x}`

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  `\bold{33-14x=8}`

`5.)~Subtract~33~from~both~sides:`

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  `\bold{33-33=Cancels~out}`

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  `\bold{8-33=-25}`

`5.)~Divide~both~sides~by~-14:`

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  `\bold{-14x}` ÷
  `\bold{-14=x}`

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  `\bold{-25}` ÷
  `\bold{-14=-1.78571429}`

`6.)~Simplify:`

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  `\bold{1.78571429}~(Take~Away~the~Negative!)`

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  `\bold{1.8}~(Round~to~the~Nearest~Tenth!)`

`(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.)`

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`\bold{Answer:}`

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  `\bold{AB=1.8}`

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`\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}`

Answer 2

See Below

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