In a bag of trail mix with 750 total pieces, the ratios of Cheetos to Doritos to pretzels is 8: 4 : 3 by number. Determine the number of pieces of Cheetos, Doritos, and pretzels in this bag.

Antonio made a scale model of a building. the model's scale is 1 inch to 235 feet and its height is 3.5 inches. what is the exact height of the actual building? enter your answer in the box.

What two criteria are needed for triangles to be similar

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.