The price of a pair of sunglasses was reduced from $55 to $33. By what percentage was the price of the sunglasses reduced?

Find all the values of x that make 0.1x + 0.25(102 - x) < 17.10 true.

This question awards 100 ! i really don’t want to fail i will also mark you !

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2