What is the measure of

A = 37 degrees ; B = 82 degrees

Step-by-step explanation:

the angle A plus 143 must measure 180 degrees

angle A = 180 - 143 = 37 degrees

the sum of the inner angles of a triangle is 180 degrees

A + B + C = 180

37 + B + 61 = 180

B = 180 - 98 = 82 degrees

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.