. A large cake is in a room. The first person who comes in takes 1/3 of the cake. Then a second person takes 1/3 of what is left. Then a third person takes 1/3 of what is left. And so on. a) Is there still cake left after three people each take some cake? Why or why not?
b) Complete the table for C(n), the fraction of the original cake left after n people take some.
n C(n)
0
1 2/3
2
3
4

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?