Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. they set up the situation with the equation below, where x is the number of pairs of pants. is there a situation in which they pay the same amount for their purchases?

x = -2

y = 848

step-by-step explanation:

plug in the numbers

∠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.

if x = 1, then the answer is 3.5

do your own work and don"t cheat.

step-by-step explanation: