The extended table is a rectangular with an area of (18+6x) square feet. write an expression in simplest form that represents the length ( in feet ) of the entendres table.

If two lines form congruent alternate interior angles with a transversal, then the lines

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?

Apudding recipe requires 2/3 of a cup of milk for every 1 3/4 cups of sugar. what is the unit rate of sugar to milk in the pudding recipe?