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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 $\bold{Solution~Steps:}$

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

• $\bold{30-8x+3=6x+8}$

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

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

• $\bold{33-8x=6x+8}$

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

• $\bold{33x-8x-6x=8}$

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

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

• $\bold{-8x-(-6x)=-14x}$

• $\bold{33-14x=8}$

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

• $\bold{33-33=Cancels~out}$

• $\bold{8-33=-25}$

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

• $\bold{-14x}$ ÷ $\bold{-14=x}$

• $\bold{-25}$ ÷ $\bold{-14=-1.78571429}$

$6.)~Simplify:$

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

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

$(To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)$

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$\bold{Answer:}$

• $\bold{AB=1.8}$

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

Answer 2

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