The measure of angle a is twice the measure of angle b the measure of angle c is at least one degree more than the measure of angle a if the sum of the three angles is at least 61 degrees what is the range possible measurements for angle b

Step-by-step explanation:

The measure of angle a is twice the measure of angle b. This means that

a = 2b

The measure of angle c is at least one degree more than the measure of angle a. This means that

c ≥ a + 1

c ≥ 2b + 1

if the sum of the three angles is at least 61 degrees, it means that

a + b + c = 61 - - - - - - - - - - - - - 1

Substituting a = 2b and c = 2b + 1 into equation 1, it becomes

2b + b + 2b + 1 = 61

5b = 61 - 1 = 60

b = 60/5 = 12

c ≥ 2× 12 + 1

c ≥ 25

25 ≥ a + 1

25 - 1 ≥ a

24 ≥ a

a ≤ 24

Therefore, the range possible measurements for angle b is

b ≤ 12

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .