If the sin of angle \( x \) is \( \frac{4}{5} \) and the triangle was dilated to be two times as big as the original, what would be the value of the sin of \( x \) for the dilated triangle? Clue: Use the slash symbol ( 1 ) to represent the fraction bar, and enter the fraction with no spaces. Answer for Blank 1: I

The sine of an angle is a ratio of the lengths of the opposite side to the hypotenuse, and this ratio remains unchanged regardless of the size of the triangle. Therefore, even when the triangle is dilated to be twice as large, the sine of angle \( x \) remains \( \frac{4}{5} \). So, for the dilated triangle, the value of the sine of \( x \) remains the same: \( 4/5 \). Answer for Blank 1: 4/5