DanickaZ47105 DanickaZ47105
  • 04-11-2022
  • Mathematics
contestada

Find the length of the segment indicated. Round your answer to thenearest tenth if necessary.1 point18.2x17.1

Find the length of the segment indicated Round your answer to thenearest tenth if necessary1 point182x171 class=

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JhonnyL160704 JhonnyL160704
  • 04-11-2022

We can note that the triangle on the right hand side is a right triangle. This implies that we can use Pytagorean theorem to find x, that is,

[tex]x^2+17.1^2=18.2^2[/tex]

which gives

[tex]x^2+292.41=331.24[/tex]

By moving 292.41 to the right hand side, we have

[tex]\begin{gathered} x^2=331.24-292.41 \\ x^2=38.83 \end{gathered}[/tex]

then, x is given by

[tex]\begin{gathered} x=\sqrt[]{38.83} \\ x=6.23 \end{gathered}[/tex]

therefore, by rounding down, the answer is x=6.2 which corresponds to option 2.

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