Mike and kate plan to save money for their wedding over a 20 month period. they will need to save $8,000 to pay for the wedding. they set aside the same amount each month. after a year they saved $4,000. mike and kate know they must adjust their plan in order to meet their goal, so they came up with the following options: option a: stay with saving the same amount they've been saving each month but postpone the wedding 2 months. option b: increase the amount of money they save each month by $80 from what they've been saving. which of the following is a true statement? a. only option a will allow them to meet their goal. b. only option b will allow them to meet their goal. c. both options a and b will allow them to meet their goal. d. neither option a nor option b will allow them to meet their goal.

the perimeter is increased by a factor of 2

∠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.