Instructions Use the following scenario to answers questions 5 and 6
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5
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Comparing accounts
Adrienne and her brother John each inherit $7,000 that
they use to open savings accounts with
Adrienne's account earns 4.7% annual compound
interest and John's account earns 4.7% annual simple
interest. Neither makes any additional deposits or
withdrawals for 10 years.
1 point
Who's account will be worth more at the end of 10 years?
They are the same
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ООО
Adrienne
John
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w

step-by-step explanation:

y=mx+b

step-by-step explanation:

m slope, b y-intercept

∠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.