(Score for Question 3: of 6 points)
3. Rectangles ABCD and QRST are similar
42 cm
28 cm
R
21 cm
14 cm
s
T
D
(a) Determine the scale factor applied to rectangle ABCD to create rectangle QRST. Show your work!
(b) Reproduce rectangle ABCD at a scale of
Show your work and label measurements for each
side of your rectangle.

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 ?