A stationery shop orders a batch of pens from a factory.
The factory could make the batch of pens in
20 days using 12 machines.
Due to a fault, only 8 machines were used for the
first 9 days.
All 12 machines were used from day 10 onwards.

Work out the total number of days taken to make
the batch of pens.

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

The slope of cd is which segments are perpendicular to cd ? select each correct answer. gf , where g is at (6, 5)and fis at (10, 2) ef, where e is at (4, 1) and f is at (7,5) lm , where lis at (-2, 3) and m is at (-10, 9) jk , where jis at (1, -2) and k is at (10, – 14) next