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sesenic [268]
3 years ago
11

If the sum of the measures of interior angles of a regular convex polygon is 1620° how many sides does a polygon have find the m

easure of one interior angle and one exterior angle
Mathematics
2 answers:
Keith_Richards [23]3 years ago
7 0

Answer:

  • the polygon has 11 sides
  • one interior angle measures 147 3/11 degrees
  • one exterior angle measures 32 8/11 degrees

Step-by-step explanation:

The relation between the number of sides (n) and the total degree measure of interior angles is ...

  angle total = 180° × (n -2)

We can find n by filling in the given total and solving:

  1620 = 180(n -2)

  1620/180 = 9 = n -2

  9 + 2 = 11 = n

The number of sides is 11.

The measure of one interior angle is 1620°/11 = 147 3/11 degrees.

The measure of one exterior angle is 360°/11 = 32 8/11 degrees.

Mila [183]3 years ago
3 0

Answer:

Step-by-step explanation:

(n-2)180=1620

n-2=1620/180=9

n=9+2=11

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rosijanka [135]

Answer:

y = (2/3)x - 3

Step-by-step explanation:

Slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept.

The point is given to you. Note that:

(x , y) = (0 , -3) ∴

x = 0

y = -3

The slope = m = 2/3

Plug in the corresponding numbers to the corresponding variable:

y = mx + b

-3 = (2/3)(0) + b

-3 = 0 + b

b = -3

Plug in -3 for b in the equation:

y = mx + b

y = (2/3)x -3

y = (2/3)x - 3 is your equation.

~

5 0
3 years ago
At the bank, Sheila made 5 deposits, each in the same amount. Her sister Sherri made 4 deposits, each in the same amount. Each o
irinina [24]

The equation would be 4y=5x       4(x+15)=5x             x+15=y

let x be the amount that Shelia deposits each time

let y represent the amount that Sherri deposits each time

4(x+15)=5x

4x+60=5x

-4x       -4x

60=x

Check:

x+15=y                  60+15=y                        y=75

4(75)=5(60)

300=300

Shelia deposits $60 each time.

5 0
3 years ago
Read 2 more answers
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LekaFEV [45]
The zero product property tells us that if the product of two or more factors is zero, then each one of these factors CAN be zero.

For more context let's look at the first equation in the problem that we can apply this to: (x-3)(x+4)=0

Through zero property we know that the factor (x-3) can be equal to zero as well as (x+4). This is because, even if only one of them is zero, the product will immediately be zero.

The zero product property is best applied to factorable quadratic equations in this case.

Another factorable equation would be 2x^{2}+6x=0 since we can factor out 2x and end up with 2x(x+3)=0. Now we'll end up with two factors, 2x and (x+3), which we can apply the zero product property to.

The rest of the options are not factorable thus the zero product property won't apply to them.
3 0
3 years ago
Read 2 more answers
How to convert 3.248 repeating decimal with 48 repeating into a simplified fraction
Sonja [21]

Answer:

x=\frac{536}{165}

Step-by-step explanation:

Let X be the value of 3.2484848.... infinite times

Multiply by 100

x=3.24848....\\100x = 324.8484.....

Subtract to get

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Thus the number 3.248 repeating decimal with 48 repeating in fraction form is

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3 years ago
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Please solve (8th grade pre-algebra)
tigry1 [53]
The answer is: Hint

You welcome buddy
5 0
3 years ago
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