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3 years ago

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

Mathematics

1 answer:

erastovalidia [21]3 years ago

4 0

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

$\frac{4}{20} = \frac{x}{360}$

Cross multiply:

$1440 = 20x\\$

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

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Find each measure m<1, m<2,m<3

Leno4ka [110]

Answer:

option 2.

m1 = 75 , m2 = 129 , m3 = 100

Step-by-step explanation:

with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles

x + 46 + 29 = 180

x = 180 - 46 -29

x = 105

a flat angle has 180 °

m1 + 105 = 180

m1 = 180 - 105

m1 = 75

46 + 54 + y = 180

y = 180 - 46 -54

y = 80

80 = z + 29

z = 80 - 29

z = 51

as they are two crossed lines the angle is reflected from the opposite side

with that principle and knowing that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle (m2)

m2 * 2 = 360 - 51 * 2

m2 = 258/2

m2 = 129

m2 = 29 + m3

129 = 29 + m3

m3 = 129 - 29

m3 = 100

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3 years ago

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uysha [10]

Answer:

9b+8n+4x+9

Hope that helps!

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find the value of q for which point p(q,2) is the midpoint of the line segment joining the points q(-5,0) and r(-1,4)

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Answer:

step by step solution:

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nirvana33 [79]

Answer:

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Step-by-step explanation:

4.16

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ch4aika [34]

Answer: Option A and Option C.

Step-by-step explanation:

For this exercise it is important to know the definition of "Vertical Angles".

When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".

By definition, Vertical angles are congruent, which means that the have the equal measure.

In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:

$\angle ISN$ and $\angle TSW$

$\angle TSN$ and $\angle ISW$

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3 years ago