Vik wrote the equation 470 # h = 3,008, where h is the number of hours it took a plane flying at a constant speed of 470 miles per hour to travel 3,008 miles. Solve for h.

6.4 hours

Step-by-step explanation:

From the question, we are informed that Vik wrote the equation 470h = 3,008, where,

h = number of hours used by the plane.

To solve for h, goes thus:

470h = 3008

Divide both side by 470

470h/470 = 3008/470

h = 6.4 hours

Therefore, 6.4 hours was used by the plane.

∠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.