1. ## Homework Help

1. Angles A and B are supplementary. If the measure of angle A is 8 times angle B, what is the measure of angle A?

2. Starting at the town of Euler and traveling 40 miles to the town of Pythagoras, Rashid travels at the rate of 2 miles every 15 minutes. Returning from Pythagoras to Euler, he travels 2 miles every 3 minutes. What was Rashid's average speed, in miles per hour, for the entire trip? Express your answer as a mixed number.

3. The ratio of the length of the sides of square ABCD to the length of the sides of square PQRS is 3:1. If the area of ABCD is 9 square units, what is the length of side PS?

2. Originally Posted by xsriel
1. Angles A and B are supplementary. If the measure of angle A is 8 times angle B, what is the measure of angle A?

2. Starting at the town of Euler and traveling 40 miles to the town of Pythagoras, Rashid travels at the rate of 2 miles every 15 minutes. Returning from Pythagoras to Euler, he travels 2 miles every 3 minutes. What was Rashid's average speed, in miles per hour, for the entire trip? Express your answer as a mixed number.

3. The ratio of the length of the sides of square ABCD to the length of the sides of square PQRS is 3:1. If the area of ABCD is 9 square units, what is the length of side PS?
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xsriel,

1. A +B = 180 --Eq 1 and A = 8B -- Eq 2
Solve two Eq.
Get A = 160 and B = 20.

2.
Conver speed to miles per hour
So, 2 miles / 15min = 8 miles / hour (60min) by multiplying 4.
2 miles / 3 min = 40 miles / hour (60min) by multiplying 20.
Avg. speed will be ( 8 + 40 ) /2 = 24 miles / hour

3. Originally Posted by xsriel
1. Angles A and B are supplementary. If the measure of angle A is 8 times angle B, what is the measure of angle A?

2. Starting at the town of Euler and traveling 40 miles to the town of Pythagoras, Rashid travels at the rate of 2 miles every 15 minutes. Returning from Pythagoras to Euler, he travels 2 miles every 3 minutes. What was Rashid's average speed, in miles per hour, for the entire trip? Express your answer as a mixed number.

3. The ratio of the length of the sides of square ABCD to the length of the sides of square PQRS is 3:1. If the area of ABCD is 9 square units, what is the length of side PS?
3. The area of a square is given by

$A = l^2$.

Since the area is $9 units^2$, then the side length is $3 units$.

The sides of square PQRS are 3 times the sides of the square ABCD.

So the length of the side PS is $3 \times 3 = 9 units$.

4. Originally Posted by xsriel
1. Angles A and B are supplementary. If the measure of angle A is 8 times angle B, what is the measure of angle A?

2. Starting at the town of Euler and traveling 40 miles to the town of Pythagoras, Rashid travels at the rate of 2 miles every 15 minutes. Returning from Pythagoras to Euler, he travels 2 miles every 3 minutes. What was Rashid's average speed, in miles per hour, for the entire trip? Express your answer as a mixed number.

3. The ratio of the length of the sides of square ABCD to the length of the sides of square PQRS is 3:1. If the area of ABCD is 9 square units, what is the length of side PS?
2. To start, he travels 2 miles every 15 mins. Therefore, he travels 40 miles in $20 \times 15 = 300$ minutes.

Then he travels 2 miles every 3 minutes. Therefore he travels 40 miles in $20 \times 3 = 60$ minutes.

Thus, he travels the 80 miles in 360 minutes, or 80 miles in 6 hours.

So he travels $\frac{80}{6} = 13 \frac{1}{3}$ miles per hour.