If you increase your bicycle speed by 5.6 miles per hour, the speed will be 17.9 miles per hour. what is your bicycle speed now?

12.3 mph

Step-by-step explanation:

Let x be our speed now

We increase the speed by 5.6 mph

Our new speed is x+5.6

We are going 17.9 mph

x+5.6 = 17.9

Subtract 5.6 from each side

x+5.6 -5.6 = 17.9-5.6

x =12.3

∠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.