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3 years ago

Please answer neat will mark brain.

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

Answer:

9.110° and y are the same(alternate angles)

thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°

z(alternate)=70°

10.y=78°. x=(180-78)=102°. z=102°

11.x=83°. y=(180-83)=97°. z=97°

12.y=37°. x=(180-37)=143. z=143°

to confirm the answers all angles in a circle at the centre add up to 360°

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Consider a triangle ABC like the one below. Suppose that B=129°, a=7, and c=42. (The figure is not drawn to scale.) Solve the tr

EleoNora [17]

The angles are: A =24.7° ; B = 40.6° ; C =114.7°.

<h3>What is Cosine law?</h3>

The law of cosine helps in establishing a relationship between the lengths of sides of a triangle and the cosine of its angles. The cosine law in trigonometry generalizes the Pythagoras theorem, which applies to a right triangle.

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 - 65.3 = 114.7°

Thus, the angles are: A =24.7° ; B = 40.6° ; C =114.7°

Learn more about Cosine Law from:

brainly.com/question/17289163

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3 0

2 years ago

2x-y=6 Rewrite in slope-intercept form Thanks in advance!

deff fn [24]

Answer:

The slope-intercept form of this equation is

y = 2x - 6

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3 years ago

the ojos del salado volcano has an elevation about 3 times as great as the khangar volcano. If the khangar volcani is 6,562 feet

Vlada [557]

Answer:

The approximate elevation of the "ojos del salado" volcano is 19,686 feet above sea level

Step-by-step explanation:

Let

y -----> elevation of the "ojos del salado" volcano

x -----> elevation of the "khangar" volcano

we know that

The elevation of the "ojos del salado" volcano is about 3 times as great as the khangar volcano

$y=3x$ ----> equation A

we have

$x=6,562\ ft$

substitute the value of x in the equation A

$y=3(6,562)=19,686\ ft$

therefore

The approximate elevation of the "ojos del salado" volcano is 19,686 feet above sea level

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3 years ago

Use a protractor to draw a pentagon so that the bottom side is horizontal and the left and right sides are perpendicular to the

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Answer: 68

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2 years ago

Find the exact solution of the system of equations of x^2+y^2-4x-6y+4=0 and x^2-4x-3y+4=0

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4 years ago