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Dmitry [639]
4 years ago
9

ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it.

Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
3 0

Answer:

C. (2x + 16) + (x) = 180°

Step-by-step explanation:

See attachment for the cyclic quadrilateral

One theorem of cyclic quadrilateral states that; opposite angles = 180°

In the attachment, the angle opposite B is D

Where B = x

D = 2x + 16

From the theorem stated above;

B + D = 180°

Substitute the values of B and D in the formula above

x + 2x + 16 = 180

From the list of given options, the correct answer is C

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What is a scale factor
aleksley [76]
A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.
4 0
3 years ago
Read 2 more answers
asmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72.
Inga [223]
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128

The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.

Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.

The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
8 0
4 years ago
Which of the following are exterior angles? Check all that apply.
Romashka [77]

[|] Answer [|]

<u><em>6, 5, 4</em></u>

<u><em></em></u>

[|] Explanation [|]

<em>Exterior Angles:</em>

<u><em>Angles facing outward on a triangle</em></u>

Angles 6, 5 and

4 are not inside the main triangle. They are wide open. <u><em>Exterior simply means the outside of something.</em></u> Angles 6, 5 and 4 are the outside angles to the main triangle.

<u><em>_[|] Eclipsed [|] _</em></u>

8 0
3 years ago
Round 32.697 to the nearest hundredth and one.
velikii [3]
The nearest hundredth is 32.7

and the nearest ones place is 33
6 0
4 years ago
Read 2 more answers
How many 3/2 cup servings are in 9/2 cups of flours?
Dmitrij [34]

Answer:

3

Step-by-step explanation:

9 divided by 3 is 3

So, you can multiply 3/2 by 3 to get 9/2

Hope this helps! :)

5 0
3 years ago
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