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aniked [119]
3 years ago
6

What is the value of the letter x in this math problem? A. 1620 B. 40 C.360 D.51.4

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

B. 40

Step-by-step explanation:

Given:

The given shape is nonagon.

It consist of 9 sides.

We need to find the value of exterior angle 'x'.

Solution:

Now we know that;

"The sum of the exterior angles of any polygon is 360 degrees."

Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles.

Since here there is Nonagon then there would be 9 exterior angles.

So measure of angle 'x' = \frac{360}{9} =40\°

Hence The value of 'x'  40°.

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The function g(x)=x^2+3. The f(x)=g(x+2)
vekshin1

Answer:

f(x)=x^2+6x+12

Step-by-step explanation:

Given:

The function 'g(x)' is given as:

g(x)=x^2+3

Now, the function 'f(x)' is given as:

f(x)=g(x+2)

So, the function 'f(x)' is a transformation of 'g(x)'.

In order to find f(x), we replace 'x' by (x + 2) in the 'g(x)' function equation. This gives,

g(x+2)=(x+2)^2+3

Using the identity (a+b)^2=a^2+b^2+2ab, we get:

g(x+2)=x^2+3^2+6x+3\\\\g(x+2)=x^2+9+6x+3\\\\g(x+2)=x^2+6x+12

Hence the function f(x) is given as:

f(x)=x^2+6x+12

4 0
4 years ago
If f (x) = 3x - 2 and fog(x) = 6x - 2 then find the value of<br>x such that gof(x) = 8.​
Yakvenalex [24]

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

To find g(x), we can start with the inverse of f(x).

  f(y) = x . . . . . . . solve this to find f^-1(x)

  3y -2 = x

  3y = x +2 . . . . add 2

  y = (x +2)/3 = f^-1(x) . . . . divide by 3

__

Now, we can find g(x):

  f^-1(f(g(x)) = g(x)

  f^-1(6x -2) = ((6x -2) +2)/3 = g(x)

  6x/3 = g(x) = 2x

__

Now, we want g(f(x)) = 8

  g(3x -2) = 8

  2(3x -2) = 8

  6x -4 = 8

  6x = 12

  x = 2 . . . . makes g(f(x)) = 8

8 0
3 years ago
Tom’s total payment for his loan was $15,264. He paid it off after making 72 monthly payments.
Sveta_85 [38]

Answer:

212$ per month

Step-by-step explanation:

15,264÷72=212

5 0
3 years ago
Read 2 more answers
Which of the following statements must be true about this diagram? Check
SSSSS [86.1K]

Answer:

f

Step-by-step explanation:

I'm pretty sure it's f from what I know

4 0
3 years ago
1/4+1/2 find the sum using number line
Arte-miy333 [17]
It's 3/4

no number line provided for me, but if you find the common denominator (4), and convert 1/2 into 2/4, then adding 2/4+1/4 is easy, and equals 3/4
3 0
4 years ago
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