(PLEASE HELP GIVING BRAINILEST) In training for a swim meet, Logan swam 750 meters in 1/3 of an hour. His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4 of an hour.
Fill in the blanks to compare Mila's and Logan’s swimming speeds.

1. What is Logan's average swimming speed? Show your work.

Write your answer in the space below.

2. What is Mila's average swimming speed? Show your work.

Write your answer in the space below.

3. Compare Mila's and Logan’s swimming speeds. You must do something more than just state the speeds. Show your work.

Write your answer in the space below.

1. 37.5 metres.

2. 33.33 metres (May be wrong due to the answer but I used the correct solution to find the answer)

3. Refer to explanation.

Step-by-step explanation:

1. Find out how much Logan and Mila both swam.

1/3 of an hour =

60 minutes ÷ 3 = 20 minutes

Logan swam 750 metres for 20 minutes.

Mila swam 2/3 of Logan's distance.

Find out how much is 1/3 of Logan's distance in 1/4 of an hour.

3/3 = 750

1/3 = 750 ÷ 3 = 250

2/3 = 250 x 2 = 500

1/4 of an hour =

60 minutes ÷ 4 = 15 minutes

Mila swam 500 metres in 15 minutes.

To find out Logan's average swimming speed, here's the formula:

Total distance/total elapsed time

So it is 750/20 which is 37.5 metres.

2. Use the same formula I mentioned above in question 1 for average swimming speed, so it is...

500/15 = 33.33 metres

3. Other ways to compare Mila's and Logan's swimming speed is to find out the difference of the distance of how long they swam.

Use Mila's average swimming speed and find out how much metres she would swim if she swam for 20 minutes.

33.33 metres x 20 minutes = 666.6 metres

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.