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Need help with this one! Use the following figure to find the missing measurements in the box below.

Need help with this one! Use the following figure to find the missing measurements-example-1

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Given: a rectangle is given

Find: x,y,z, AE, DC, mStep-by-step explanation: (a) x


\begin{gathered} 3x=54^0 \\ x=(54)/(3) \\ x=18^0 \end{gathered}

(b)


\begin{gathered} 3x=3*18=54 \\ 90-54=36 \\ 90+36+y=180 \\ y=180-126 \\ y=54^0 \end{gathered}
\begin{gathered} z=(90)/(2) \\ z=45^0 \end{gathered}

AE


AE=(36)/(2)=18
\begin{gathered} DC=√((36)^2-(17)^2) \\ =√(1296-289) \\ =√(1007) \\ =31.74 \end{gathered}
\angle AEB=\text{ 90}^0

User Guillermo Pereira
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