Question

USING STRUCTURE Use the diagram to find the values of x and y.1.5533Ху

Answer 1

The values of x and y are;

`\begin{gathered} x=5.25 \\ y=7.5 \end{gathered}`

Step-by-step 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;

`\begin{gathered} (1.5)/(2)=(x)/(5+2)=(y)/(2+5+3) \\ (1.5)/(2)=(x)/(7)=(y)/(10) \end{gathered}`

solving for x;

`\begin{gathered} (1.5)/(2)=(x)/(7) \\ x=(1.5*7)/(2) \\ x=5.25 \end{gathered}`

Solving for y;

`\begin{gathered} (1.5)/(2)=(y)/(10) \\ y=(1.5*10)/(2) \\ y=(15)/(2) \\ y=7.5 \end{gathered}`

Therefore, the values of x and y are;

`\begin{gathered} x=5.25 \\ y=7.5 \end{gathered}`