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In order: y = 29, 8, -1, 2, 17

Step-by-step explanation:

Simply plug in what x equals to get the coordinating y!

When x = -2       6(-2)² - 3(-2) - 1 = 29

When x = -1        6(-1)² - 3(-1) - 1 = 8

When x = 0        6(0)² - 3(0) - 1 = -1

When x = 1         6(1)² - 3(1) - 1 = 2

When x = 2        6(2)² - 3(2) - 1 = 17

∠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: