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jok3333 [9.3K]
3 years ago
6

What is the measure on an interior angle of this polygon?

Mathematics
2 answers:
Leona [35]3 years ago
7 0

Answer:

a. 160

b. 18

Step-by-step explanation:

a. When the exterior and interior angles are added together, they add up to 180°. So this means that the interior angle equals 160°

180-20=160

b. The total of all exterior angles will always add up to 360°. With this information, you can divide 360 by the exterior angle to get the total sides of the shape.

\frac{360}{20} =18

Karo-lina-s [1.5K]3 years ago
5 0

Answer:

a) 160°

b) 18 sides

Step-by-step explanation:

Interior angle = 180 - exterior

= 180 - 20 = 160°

Each angle of a regular polygon:

[(n-2)×180]/n = 160

180n - 360 = 160n

20n = 360

n = 18

Alternate approach for no. of sides:

360/n = each exterior angle

360/n = 20

n = 360/20 = 18

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what did we learn in the other question ?

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so, each little line is 1/8.

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therefore, that number is 1 1/8.

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Find the value of x
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3 years ago
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

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