WhitfieldS24442 WhitfieldS24442
  • 31-10-2022
  • Mathematics
contestada

find x if AC=15 , AB=x+14 , and BC= x+13

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AithenA648901 AithenA648901
  • 31-10-2022

Given the information, we have the following:

Now, since AC=15, we have the following expression:

[tex]\begin{gathered} AB+BC=AC \\ \Rightarrow(x+14)+(x+13)=15 \end{gathered}[/tex]

Solving for x we get:

[tex]\begin{gathered} (x+14)+(x+13)=15 \\ \Rightarrow2x=15-14-13=-12 \\ \Rightarrow2x=-12 \\ \Rightarrow x=\frac{-12}{2}=-6 \\ x=-6 \end{gathered}[/tex]

Therefore, x=-6

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