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nekit [7.7K]
3 years ago
6

In this unit, you studied a handful of circle theorems. However, there are other circle theorems not covered in this unit or cou

rse. Do some research online or in textbooks to uncover a circle theorem (or more than one) that wasn’t presented in this unit. 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? Were you able to apply some theorems that you proved earlier to your newfound theorem? Explain. How might your theorem be used in a real-world application?
Mathematics
1 answer:
Lerok [7]3 years ago
3 0

It should be noted that the angle at the center of the circle is twice the angle at the circumference.

<h2>Circle Theorem</h2>

It should also be noted that the angle in a semicircle is a right angle. Angles that are in the same segment are equal.

Furthermore, the opposite angle that is in a cyclic quadrilateral sum is 180°. The angle between the chord and the tangent is also equal to the angle in the alternate segment.

Learn more about circles on:

brainly.com/question/24375372

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Set up a system of equations needed to solve each probler
goblinko [34]

Answer:

This is not a solvable question, since the least amount of money you can have with this combination is $4.20.

Step-by-step explanation:

Let q = quarters

Let d = dimes

Equation: 0.1d + 0.25q = 3.00

Maximum amount of dimes: 0.1d *42 = 4.2d

8 0
3 years ago
FACTOR EACH EXPRESSION, IF IT CANT BE FACTORED WRITE CANNOT BE FACTORED. 1. 4x+12
dimaraw [331]
1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12. 
4x=2*2*x
12=3*2*2
The greatest common factor is 4. Put this outside of the parentheses.             (You would multiply the 2*2)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)

To check, distribute to see if it works.

4x+12

2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
14= -1*7*2
The greatest common factor is 2.                                                                 (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Multiply the 2*2*r as one addend and the -1*7 as the other.
Solution: 2(4r-7)

To check, distribute to see if it works.

8r-14

Do you get it now?

3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.

32x-15
Find the GCF of 32x and -15

32x: 2*2*2*2*2*x
-15: -1*5*3

Because there are no similar factors other than 1, it cannot be factored.

6.)  8(4x+3)
7.) 3(2x-3)
8.) 24(1x+2)
9.) 9(-2x+8)
10.) Cannot be factored
11.) 8(1x+3)
12.) 50(1x+5)



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