Use the table to answer the question. Average Daily Cost for an American Tourist

Expenses Europe Far East & Pacific South America
Lodging $7.50 - $8.50 $7.50 - $8.50 $10.00 - $11.00
Food $6.20 - $7.75 $6.00 $9.00
Other Expenses (misc.) $7.00 - $8.75 $7.50 $10.00
Totals $20.70 - $25.00 $21.00 - $22.00 $29.00 - $30.00
Which trip will cost you more: 30 days in South America or 40 days in the Far East?

will cost more.

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step-by-step explanati∵∵∴∴on:

∠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.

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step-by-step explanation:

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