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erica [24]
3 years ago
15

Find each angle measure.​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

Answer for 11-13: m<2: 150, m<6: 150, m<7: 150

Step-by-step explanation:

There is 180 degrees in a straight line. If one part of the line (angle) is 30 degrees, then the other part is 150. If you look at the image, you would see that m<2 is congruent to m<6 ,which means same, and m<7 is congruent to m<3.

Answer for 14-16:  m<EBG: 150, m<AGH: 150, m<DHF: 30.

Step-by-step explanation:

4x = 150               2x + 50 = 150

x = 37.5                2x = 150 - 50

4(37.5) = 150        2x = 100

                             x = 50

                          2(50) + 50 =

                            100 + 50 = 150

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another method:

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The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

<span>So we have to take the 1st derivative of the equation then equate dy / dx to zero.</span>

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x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

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y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

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y = -1.828 , 3.828

 

<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).</span>

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