Peter and Lois caught a Wombat Airlines flight from Adelaide to Mount Gambier, but were required to pay extra because their luggage was heavier than the airline normally allows. The airline charges a constant extra amount for each kilogram of luggage over the allowable limit. Peter paid an extra $60 and Lois paid an extra $100 because together they had 52 kg of luggage. Had peter been travelling by himself and taken the combined luggage he would have had to pay an extra $340. The maximum number of kg of luggage a person can take without paying the extra charge is? A 20 B 15 C 12 D 18 E 30

∠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.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: