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lord [1]
3 years ago
11

In the diagram of circle O, what is the measure of ABC

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

34°

Step-by-step explanation:

The angle formed by two tangents is equal to half the difference of the intercepted arcs.

The first intercepted arc, between points A and C, is 146°.  This leaves

360-146 = 214° for the second intercepted arc.

The difference between these two is

214-146 = 68°

Dividing this by 2,

68/2 = 34°

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The midpoint QR is M (-1,2). One endpoint is R (3,4). Find the coordinates of the other endpoint.
butalik [34]

M = (x₁ + x₂)/2  , (y₁ + y₂)/2

(-1, 2) = \frac{3 + x}{2} , \frac{4 + x}{2}

At this point, it is easier to separate the x's and y's into two different equations:

x's: -1 = \frac{3 + x}{2}

     -2 = 3 + x

     -5 = x

y's: 2 = \frac{4 + x}{2}

     4 = 4 + x

     0 = x

Answer: (-5, 0)

7 0
3 years ago
24 to 18 is the same as <br><br>(ratio)<br>​
Dmitriy789 [7]

Answer:

3:4

Step-by-step explanation:

18/24 by 6 meaning

18 divided by 6 =3

24 divided by 6=4

So your ratio is 3:4

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6 0
2 years ago
The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13
Alexxx [7]

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

13C7 = 1716.

Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640

8 0
3 years ago
If f(x) = x3 - 12x2 + 44x - 48, which of the following is not a factor of f(x)? O (x + 4) O (x - 6) O (x - 2) O (x - 4)​
denis-greek [22]

Answer:

(x + 4)

Step-by-step explanation:

x - 2 = 0, so x = 2

x - 4 = 0, so x = 4

x - 6 = 0, so x = 6

8 0
2 years ago
What is the volume of this cone?
Murrr4er [49]

Answer:

Volume = 183.26 cubic inches

Step-by-step explanation:

Volume of cone = ⅓πr²h

Where,

r = 5 in.

h = 7 in.

Plug in the values into the formula

Volume = ⅓*π*5²*7

Volume = 183.26 cubic inches (nearest hundredth)

4 0
3 years ago
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