At the Olympics, both runners and swimmers compete in relay teams. Each of the four members of the relay team run or swim an equal distance, or leg, in hopes of achieving the fastest time as a team. In addition to the team’s time being recorded, each individual athlete’s time, known as a split, is recorded. Because runners pass a baton from person to person, there can be a slight overlap in the split time. At the 2012 Olympics, the American women’s 4 x 100 meter relay team established a new world record. The runners individually had times of 11.2 seconds, 9.97 seconds, 10.33 seconds, and 9.7 seconds. Their final time was 0.38 seconds less than the sum of their individual splits.

Question 1
Part A

What was their final time?

Part B

The previous world record was 41.37 seconds. By how much time did they beat the previous record?

Enter the correct answer in the box.

∠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.

answer: 140

step-by-step explanation:

so just add all then it will be your answer but i am not pretty sur eif it is but hope this i am here to people

the first one, all those points on the line just make a strait line.