For lines a, c, and d, line cis parallel to line d and m∠1 = 55°.

part a: for the given diagram, use the measure of ∠1 to find the measure of the remaining seven angles.

part b: in two or more complete sentences, explain the relationship between angle pairs a)∠1 and ∠7 and b)∠1 and ∠2. in your explanation, include how you calculated each of the angle measures in the special angle pairs.

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step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

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a ≈ 172.05

step-by-step explanation:

the pictures.