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4 years ago

Can someone please help me :)

Mathematics

1 answer:

gavmur [86]4 years ago

7 0

Answer:

<em>90 degree</em>

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

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Heather is flying a kite at the park. The string makes an angle of 53° with the level ground. The kite is 28 meters above the gr

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Answer:

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Step-by-step explanation:

This represents a right angled triangle.

The height of the kite above the ground represents the opposite side while the length of the string of the heather of the kite is the hypotenuse.

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We can use the sine part of the trigonometric function SOHCAHTOA:

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=> sin(53) = 28 / h

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4 years ago

Are the segments through the origin and the points listed perpendicular? Explain.

Zinaida [17]

Answer:

a. Not perpendicular.

b. Perpendicular.

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We need to check whether the segments through the origin and the points listed perpendicular.

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(a) The given points are (9,10) and (10,9).

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Slope of line segment through (0,0) and (10,9) is

$m_2=\dfrac{9-0}{10-0}=\dfrac{9}{10}$

Product of slopes is

$m_1\cdot m_2=\dfrac{10}{9}\cdot \dfrac{9}{10}=1\neq -1$

Therefore, the line segments through the origin and the points (9,10) and (10,9) are not perpendicular.

(b) The given points are (9,6) and (4,-6).

Slope of line segment through (0,0) and (9,6) is

$m_1=\dfrac{6-0}{9-0}=\dfrac{6}{9}=\dfrac{2}{3}$

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$m_2=\dfrac{-6-0}{4-0}=\dfrac{-6}{4}=-\dfrac{3}{2}$

Product of slopes is

$m_1\cdot m_2=\dfrac{2}{3}\cdot (-\dfrac{3}{2})=-1$

Therefore, the line segments through the origin and the points (9,6) and (4,-6) are perpendicular.

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