Answer:
The values of x and y are;
[tex]\begin{gathered} x=5.25 \\ y=7.5 \end{gathered}[/tex]
Explanation:
Given the figure in the attached image.
We want to calculate the values of x and y.
From the diagram, we can observe that the triangles are similar and the ratio of their sides will be equal.
So, we have;
[tex]\begin{gathered} \frac{1.5}{2}=\frac{x}{5+2}=\frac{y}{2+5+3} \\ \frac{1.5}{2}=\frac{x}{7}=\frac{y}{10} \end{gathered}[/tex]
solving for x;
[tex]\begin{gathered} \frac{1.5}{2}=\frac{x}{7} \\ x=\frac{1.5\times7}{2} \\ x=5.25 \end{gathered}[/tex]
Solving for y;
[tex]\begin{gathered} \frac{1.5}{2}=\frac{y}{10} \\ y=\frac{1.5\times10}{2} \\ y=\frac{15}{2} \\ y=7.5 \end{gathered}[/tex]
Therefore, the values of x and y are;
[tex]\begin{gathered} x=5.25 \\ y=7.5 \end{gathered}[/tex]
