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horsena [70]
1 year ago
13

In this unit, you studied a handful of circle theorems. Research to find a circle theorem that wasn’t presented in this unit and

describe it in detail. Then write either a two-column proof or a paragraph proof for the theorem.
Does the theorem that you proved relate to theorems that you previously studied? If so, how? How might your theorem be used in a real-world application?
Mathematics
1 answer:
devlian [24]1 year ago
6 0

The angle at the center of the circle is twice the angle at the circumference.

<h3>What is Circle Theorem?</h3>

The angle in a semicircle is a right angle. Angles that are in the same segment are equal.

As by theorem,

angle in a semicircle is a right angle. Angles that are in the same segment are equal.

Also, opposite angle in a cyclic quadrilateral sums to 180° and the angle between the chord and  tangent is also equal to the angle in the alternate segment.

Learn more about circles here:

brainly.com/question/24375372

#SPJ1

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If the measure of an exterior angle drawn at vertex M
Rom4ik [11]

Answer:

x

Step-by-step explanation:

We are given that measure of an exterior angle which are drawn at vertex M=x

We have to find the value of measurement of angle L+measurement of angle N.

Exterior angle:It is defined as that angle of triangle which is formed by the one side of triangle and the extension of an  adjacent side of triangle.  The measure of exterior angle is equal to sum of measures  of two non-adjacent interior angles of a triangle.

Angle L  and angle N are two non-adjacent angles of a given triangle LMN.

By definition of exterior angle

x=Measure of angle L+Measure of angle N

7 0
3 years ago
Read 2 more answers
Solve for n in the proportion 7/3 = n/21.
erastova [34]
Given ,

7/3 = n/21

We need to find the value of n,

Cross multiplying,we get

3n = 21 x 7

=> 3n = 147

=> n = 147/3

=> n = 49 is the required answer
7 0
9 months ago
Which of the following values does not satisfy the inequality -2x - 6 is less than or equal to 1
Vsevolod [243]

Answer:

X ≥ 3.5

Step-by-step explanation:

-2x-6≤1

+6 +6

-2x≤7

-2x/2 7/2

x ≥ 3.5

5 0
3 years ago
Whats the common factor of 18,27
Leviafan [203]

Well, it depends, there may be multiple common factors, if it's the greatest common factor, then there is only one.  The way to do this is to list all the factors of each number.


So Factors of

18: 1,2,3,6,9,18

27: 1,3,9,27

Common Factors : 1, 3, 9

Greatest Common Factor: 9

5 0
3 years ago
Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=
lys-0071 [83]

Answer:

\bold{x =cos\theta}\\\bold{y=sin\theta}

Step-by-step explanation:

The given system of linear equations is:

(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0

We have to solve the equations for the values of x, y.

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by sin\theta and second equation by cos\theta

Now, the equations become:

(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)

Now, let us add (1) and (2):

(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta

Using the equation:

(-sin\theta)x+(cos\theta)y=0

Putting value of y:

\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta

So, the answer to the system of linear equations is:

\bold{x =cos\theta}\\\bold{y=sin\theta}

7 0
2 years ago
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