Question

11. Find x, y, and z. El Br 120 6 32 C D is the centroid of AABC.

Answer 1

$\begin{gathered} 9z+6=24 \\ 9z=24-6=18 \\ z=2 \end{gathered}$

Having that z=2 we get

$\begin{gathered} \frac{24}{12}=\frac{24}{6x} \\ 2=\frac{4}{x}\rightarrow x=2 \end{gathered}$

And we have that

$\frac{24}{12}=\frac{32}{8y}=\frac{4}{y}\rightarrow y=2$

so z=x=y=2