*PLEASE ANSWER QUICK*
The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.

-write a sinusoidal function that models Omaha’s monthly temperature variation
-use the model to estimate the normal temperature during the month of April.

1). A. Y=28 cod ( pi/6t- -7pi/6)+49
B y(4)= 49 °

2). A. Y=49 cos( pi/6t- 7pi/6) +28
B y(4)=56°

3). A. Y=28 sin(pi\6t- 7pi/6) +49
B. Y(4)=49°

4). A. Y=28 cos(pi/12t + 7pi/12)+49
B. Y(4)=49°

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Step-by-step explanation:

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

∠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.