Questions: y: 6.75 9.75 y

Solution Steps

The two triangles are similar because their corresponding angles are equal. This means the ratios of their corresponding sides are equal.

Since the triangles are similar, we can set up a proportion using the corresponding sides: \[ \frac{27}{6.75} = \frac{39}{9.75} = \frac{47}{y} \]

First, simplify the ratio \(\frac{27}{6.75}\): \[ \frac{27}{6.75} = 4 \]

Now, use this ratio to solve for \( y \): \[ \frac{47}{y} = 4 \]

Cross-multiply to solve for \( y \): \[ 47 = 4y \]

Divide both sides by 4: \[ y = \frac{47}{4} = 11.75 \]

Final Answer