Help it’s really not something i want to solve rn

1) $1440

2) 360 cookies

Step-by-step explanation:

From the diagram 25% of the money collected from hat corresponds to $480.

Let x represent the total money the student council earn.

Then

Divide both sides by 0.25

To find the amount the students got from T-shirts, we subtract 480 from 1920 to get;

2) Students council needs to raise $180

Cost of each cookie is 0.5

Let the number be cookies they need to sell to get $180 be y. Then,

Hence the student council must sell 360 cookies.

∠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.