Angle a and angle b are supplementary angles. the ratio of the measure of angle a to the measure of angle b is 5: 4. find the measures of angle a and angle b.
measure of angle a =
degrees.
measure of angle b =
degrees.

Angle A = 100°

Angle B = 80°

Step-by-step explanation:

Supplementary angles sum 180°

Angle A to Angle B ratio is 5:4, you can write that ratio using a factor.

Angle A = 5x

Angle B = 4x

Since the sum is 180°

Angle A + Angle B = 180°

5x + 4x = 180°

9x = 180°

x = 20°

Replacing x = 20°

Angle A = 5(20°) = 100°

Angle B = 4(20°) 80°

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

5

step-by-step explanation: