Percent Change 1990 - 1995
1999 2000
IS
20
City A
City B
City
City D
City E
The graph shows the percent changes in the annual city tax revenue for five cities from 1990 to
1995 and from 1995 to 2000. If the annual tax revenue in City B was $800,000 in 1990, what was
the annual tax revenue in City B in 2000?
А
$630,000
B
$782,000
с
$800,000
D
$920,000

∠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.

answer: it is a.,b.,d.

step-by-step explanation: