Select the correct answer from each drop-down menu. consider the equations below. a. y=-2x^2-8x b. y=2(x+6)(x-2) c. y=x^2-8x+16 d. y=2(x+4)^2-2 use the equations to complete the following statements. equation (a, b,c, or d) reveals its extreme value without needing to be altered. the extreme value of this equation has a (minimum or maximum) at the point (-4,-3,0 or 2 , -32,-8,8, or -2 ).

Step-by-step explanation:

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step-by-step explanation:

∠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.