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

User Sal
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1 Answer

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


(2.8)/(11.2)=(3.4)/(NZ)

Let's solve for NZ


\begin{gathered} 2.8\cdot NZ=3.4\cdot11.2 \\ NZ=(3.4\cdot11.2)/(2.8) \\ NZ=(38.08)/(2.8) \\ NZ=13.6 \end{gathered}

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


XZ=XN+NZ=3.4+13.6=17Hence, the length of XZ is 17 centimeters.
User Joao Figueiredo
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