CallynL147119 CallynL147119
  • 25-10-2022
  • Mathematics
contestada

in the figure shown segment mm parallel to y z what is the length of x z

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DominyckB218843 DominyckB218843
  • 25-10-2022

Using the given figure, we can use the Basic Proportionality Theorem

[tex]\frac{2.8}{11.2}=\frac{3.4}{NZ}[/tex]

Let's solve for NZ

[tex]\begin{gathered} 2.8\cdot NZ=3.4\cdot11.2 \\ NZ=\frac{3.4\cdot11.2}{2.8} \\ NZ=\frac{38.08}{2.8} \\ NZ=13.6 \end{gathered}[/tex]

Once we have NZ length, we can find XZ using the sum of segments

[tex]XZ=XN+NZ=3.4+13.6=17[/tex]Hence, the length of XZ is 17 centimeters.
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