Imagine you (A) and your best friend (B) each buy the same mobile phone and pay with a credit card. When this happens, the bank pays the mobile company, and you and your friend become indebted to the bank. For every year you do not pay back the debt, the bank charges you interest: a percentage of what you owe. The interest rate is called an annual percentage rate (APR), while the amount owed is called the balance. a) Choose the mobile phone you and your friend would buy, find its price in $ or AED. Then using the table below, calculate how much each of you would owe over time if neither made any payments to bank. After six years, how much would the mobile phone end up costing?

∠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.

what is the answer?

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0