2. in the diagram, trapezoid pors has ps parallel to qr. also, pq = 7, or = 40, rs = 15, and
ps = 20. if x is the distance between parallel sides ps and or, determine the value of x.
days ago)
3. the triangle with side lengths 3, 4 and 5 has the following e
five properties:
its side lengths are integers,
the lengths of its two shortest sides differ by one,
the length of its longest side and the semi-perimeter differ by one,
its area is an integer, and
its perimeter is less than 200.
determine all triangles that have these five properties
days ago)
7-8 assignmen
4. in aabc, p =
= 1, and the area of sabc is 360, what is the area of abef?
5. prove the menelaus' theorem
can y’all me with 2, 3 and 4? i have tried for days and i still can’t get it. i think it’s because i don’t have a full grasp of the concepts in the questions

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)