Shea is making a lot of plates of cookies for his friends. he makes a total of 18,698 cookies and spilts it into 297 equal plates for them. ethan takes the leftovers cookies to share equally with all of his coworkers. if he has 71 coworkers how many cookies does each of his coworkers received?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

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

The measure of an angle is 117°. what is the measure of a supplementary angle?