Deshaun works mowing lawns and babysitting. He eams $8.50 an hour for mowing and $7.30 an hour for babysitting. How much will he earn for 6 hours of
mowing and 5 hours of babysitting?

$87.50

Step-by-step explanation: Lets write an expression to represent this situation.

(8.50 x 6) + (7.30 x 5)

Next solve inside the parentheses first. 8.50 x 6 = 51 and 7.30 x 5 = 36.50

Now we add

51 + 36.50 = 87.50

So in total, Deshaun will earn $87.50

∠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.