ANSWER
The smaller angle is

.EXPLANATION
Let the angles be

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,

If one angle is 4 times the other, we can then write the following equation,

We put equation (2) into equation (1) to get,


We divide through by 5 to obtain,

This implies that,

Set up two equations:
1st: P (for Price family) + J (for Jenkins family) = 45 hours
2nd: 20P + 35J = 1200 liters
Rewrite the first equation as P = 45 – J
Replace P in the second equation:
20(45-J) + 35J = 1200
Simplify:
900 -20J + 35J = 1200
900 +15J = 1200
Subtract 900 from both sides:
15J = 300
Divide both sides by 15:
J = 300/15
J = 20
Jenkins used theirs for 20 hours
Price used theirs for 45-20 = 25 hours.
Answer:
Step-by-step explanation:
You take the starting year of 1990 and subtract it from 1999 to get the year span of 9,
You then take the amount per year the population goes up by which is 300, so 300 multiplied by 9 is 2,700
You add 2,700 to 21,152 to get B-23,852
Mixed number=4 8/10=4 4/5
improper fraction=48/10=24/5
Answer:
See below.
Step-by-step explanation:
1. a and b are supplementary ( they add up to 180 degrees as they are on a straight line).
2,3 and 4 are complementary as in each case a + b = 90 degrees.