Which situation is best represented by the equation below?
x - 3.5 = 4.75
a. alta had $4.75. she paid $3.50 for a snack and drink. what is x, the amount of money alta has left?
b. julia found a scarf with a sale price of $4.75 the discount was $3.50. what is x, the original price of the scarf.
c. rocio drew a line segment that was 3.5 inches long. renee drew a line segment that was 4.75 inches long. what is x, the difference in the lengths of the two line segments?
d. ami completed a math problem in 3.5 minutes. giovanni completed the same problem in 4.75 minutes. the time limit was 5 minutes. what is x, the difference in ami's time and the time limit?

∠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.

the answer is a if my teacher taught me correct

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step-by-step explanation: