Using vertical angles, it is found that:
A. The solution for y is of y = 4.
B. The angle measures are given as follows:
<h3>Vertical Angles</h3>
If two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.
In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:
6y + 42 = 66
6y = 24
y = 24/6
y = 4.
Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:
<C + 66º = 180º
<C = 180º - 66º
<C = 114º.
Angles C and D are vertical, hence the measure of angle D is calculated as follows:
<D = 114º.
More can be learned about vertical angles at brainly.com/question/1673457
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Answer:
Step-by-step explanation:
Since their both negatives, February should be the colder tempuerter.
Answer:

Step-by-step explanation:
We know that the transformations of a cosine equation can be shown as:
y=±a(b(x-h))+k
Where 'a' is the amplitude
'b' is the horizontal change (Do 2π/b to find the period)
'h' is the horizontal shift
and 'k' is the vertical shift or midline.
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If the amplitude is 4, we can assume a=4.
Since the period is 4/7, we can solve for the 'b' value by:

Next, since the midline is 2, we know that a vertical shift of 2 occurred. Thus, the 'k' value is 2.
Writing this equation gives us:

Answer:
Step-by-step explanation:
Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...
- Company A: $37,500
- Company B: $17,500
_____
The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)
_____
Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.