The given table shows the profits earned by two food trucks during the summer months (u have to zoom into the picture to see it better)

A. & E.

Step-by-step explanation:

Pizza Truck Mean: 800

400 + 800 + 1,000 + 1,000 = 3,200

3,200/ 4 = 800

Burger Truck Mean: 800

800 + 700 + 900 + 800 = 3,200

3,200/ 4 = 800

They have the same mean; answer A.

Pizza Truck Median: 900

400, 800, 1000, 1000,

800, 1000

900

Burger Truck Median: 800

700, 800, 800, 900

800, 800

800

The pizza truck median is larger; answer E.

∠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.