1.)given triangle rst is congruent to triangle npq, rt=7x-5, nq=5x+11, fine the length of side rt and side nq
a.)8
b.)51
c.)40
d.)56
2.)which of the following statements is true about the triangles below?
a.) triangle abc is congruent to triangle def by ssa
b.) triangle abc is congruent to triangle def by aas
c.) triangle abc is congruent to triangle def by aas
d.) triangle abc is congruent to triangle def by asa

Find the domain of the following expression: 1/(√x)-2

Analyze the diagram below and complete the instructions that follow. how to find tan

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.)