Poor jocelyn! She was running a race and at the 9 1/4 marker, she stumbled and twisted her ankle. If she was only 3/8 of the way, how long was the race?

24 2/3

Step-by-step explanation:

Let the total distance of the race be represented by x.

Therefore, based on the information given, we can form an equation which will be:

3/8 of x = 9 1/4

3/8x = 9 1/4

0.375x = 9.25

x = 9.25/0.375

x = 24.67

The distance of the race is 24 2/3

2 5/8 is the final answer! : )

∠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.