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Lostsunrise [7]
3 years ago
15

What is the value of x

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0

Answer: x = 60

Step-by-step explanation: Notice that these two angles are vertical angles.

Whenever two lines intersect, a pair of vertical angle is always formed.

Now, vertical angles are always congruent.

So we can setup the equation 2x + 24 = 144.

Solving from here, we first subtract 24 from both sides to get 2x = 120.

Now dividing both sides by 2, we find that x = 60.

So x = 60.

kirza4 [7]3 years ago
5 0

Answer:

c. 60°

Step-by-step explanation:

(2x +24)\° = 144\°\\\\2x+24\°=144\°

Collect like terms and simplify

2x\° =144\°-24\°\\\\2x\°=120\°

Divide both sides of the equation by 2 and simplify

\frac{2x}{2} = \frac{120}{2} \\\\x =60\°

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Alekssandra [29.7K]

Answer:

Correct answer:  ∝ = 18.43°

Step-by-step explanation:

Given coordinates represent one vector in x-y plane, let be v.

v = 3i +1j = xi + yj => x = 3 and y = 1

The angle that this vector builds with the positive direction to the x axis will be found using the tangent.

∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°

∝ = 18.43°

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4 0
3 years ago
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your resu
Olenka [21]

Answer:

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Step-by-step explanation:

In the figure attached,

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If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

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As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

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Answer:

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Step-by-step explanation:

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