Alice got a 8% rise in salary from last year. This year she is earning $ 40,120. How much did she make last year?

Step-by-step explanation:

Let x be last year's salary.

100%x + 8/100 x = 40120

100x/(100) + 8/100x  = 40120

108x/100 = 40120

1.08x = 40120

x = 40120/1.08

x = 37148.14

Now if you take 8% of  37148.14        =    2971.85

And add it to                                            37148.14

You should get the current earning      40119.99  

You are within a penny of the same answer. This question will not work out evenly because 1.08 does not divide evenly into 40120.

∠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.

its c or d   take a lucky guess my dude