Question

find the values of x and y. the value of x is and the value of y is

Explanation:

Step1: Use similarity of triangles

If two triangles are similar, the ratios of their corresponding sides are equal. Let's assume the two triangles in the figure are similar. We have the proportion $\frac{4}{x}=\frac{5}{12.5}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{4}{x}=\frac{5}{12.5}$ gives us $5x = 4\times12.5$.

Step3: Solve for x

$5x=50$, so $x = 10$.
Now, for the other part (assuming similar - triangle relationship for the side with length $y$). Let's assume the ratio for the horizontal sides gives us $\frac{3}{y}=\frac{5}{12.5}$.

Step4: Cross - multiply for y

Cross - multiplying $\frac{3}{y}=\frac{5}{12.5}$ gives $5y=3\times12.5$.

Step5: Solve for y

$5y = 37.5$, so $y = 7.5$.

Answer:

$x = 10$, $y = 7.5$