The angles are complementary and the larger is 20 more than the smaller.
find two angles such that

55°and35°

Step-by-step explanation:

let smaller angle be x

larger angle =x+20

x+x+20=90(Complementary angle)

x= 35

larger number = x+20=35+20=55°

smaller number =x=35°

4.6875 pounds

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for