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kykrilka [37]
3 years ago
5

Circle D is below what is the arc measure of BC in degrees

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

Answer:

84°

Step-by-step explanation:

\because (13n - 16) \degree + (7n  + 12) \degree + (6n)\degree \\= 360\degree \\  \\  \therefore \: (26n - 4) \degree= 360\degree \\  \\  \therefore \: 26n - 4= 360 \\  \\ \therefore \: 26n = 360 + 4 \\  \\ \therefore \: 26n = 364 \\  \\ \therefore \: n =  \frac{364}{26}  \\  \\ \therefore \: n =  14 \\  \\\because  m\overset { \frown}{BC} = (6n)°\\  \\\therefore \:m \overset { \frown}{BC} =(6\times 14)°  \\  \\   \huge \purple {\boxed {\therefore \:m\overset { \frown}{BC}= 84°}} \\

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7. Are the ordered pairs below an arithmetic sequence or geometric
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Answer:

8. Arithmetic Progression

9. f(9) = 300

Step-by-step explanation:

Given

\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3

This gives:

d = 45 - 55 = 35 - 45 = 25 - 35

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Solving (8):

f(n) = f(1) + f(n-1)

To find f(9), we substitute 9 for n

f(9) = f(1) + f(9-1)

f(9) = f(1) + f(8)

We need to solve for f(8); substitute 8 for n

f(8) = f(1) + f(8 - 1)

f(8) = f(1) + f(7)

We need to solve for f(7); substitute 7 for n

f(7) = f(1) + f(7 - 1)

f(7) = f(1) + f(6)

We need to solve for f(6); substitute 6 for n

f(6) = f(1) + f(6 - 1)

f(6) = f(1) + f(5)

We need to solve for f(5); substitute 6 for n

f(5) = f(1) + f(5 - 1)

f(5) = f(1) + f(4)

From the function, f(4) = 25 and f(1) = 55.

So:

f(5)=55 + 25

f(5)=80

f(6) = f(1) + f(5)

f(6) = 55 + 80

f(6) = 135

f(7) = f(1) + f(6)

f(7) = 55 + 135

f(7) = 190

f(8) = f(1) + f(7)

f(8) = 55 + 190

f(8) = 245

f(9) = f(1) + f(8)

f(9) = 55 + 245

f(9) = 300

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