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Nata [24]
3 years ago
6

The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the poly

gon?
Mathematics
1 answer:
dimaraw [331]3 years ago
5 0
First thing you must do is find the number of sides of the polygon.
The sum of all the exterior angles of a polygon is always 360°.
360/15 = 24
The polygon has 24 sides.

The formula for the sum of the interior angles of a polygon is:
180(n - 2)
Where n is the number of sides.

180(24 - 2)
180(22)
3960

The sum of the measure of the interior angles of the polygon is 3960.
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A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?
sertanlavr [38]

Answer:

1.5 miles

Step-by-step explanation:

.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour

4 0
3 years ago
Match the polynomial expression on the left with the simplified version on the right.
Vitek1552 [10]

Given the following question:

First expression:

\begin{gathered} \frac{12x^3-14x^2+16x-8}{3x-2} \\ \text{ Factor the expression:} \\ 12x^3-14x^2+16x-8=2(6x^3-7x^2+8x-4) \\ \frac{2\left(6x^3-7x^2+8x-4\right)}{3x-2} \\ \text{ Factor:} \\ 2\left(6x^3-7x^2+8x-4\right)=(3x-2)(2x^2-x+2) \\ =(3x-2)(2x^2-x+2)=2\left(3x-2\right)\left(2x^2-x+2\right) \\ \frac{2\left(3x-2\right)\left(2x^2-x+2\right)}{3x-2} \\ \text{ Cancel the common factor:} \\ -(3x-2) \\ 4x^2-2x+4 \end{gathered}

Second expression:

3 0
1 year ago
Scratchpad
olga nikolaevna [1]

Answer:

50 % probability that the hat is blue.

Step-by-step explanation:

3 blue and 3 black = 6 total tickets

3/6 chance of blue and 3/6 change of it being black

3/6 = 1/2 = 0.5 = 50%

5 0
3 years ago
the perimeter of a square is equal to the perimeter of an equilateral triangle the length of a side of the square is given by th
diamong [38]

Answer:

x = 3

Step-by-step explanation:

We are told that the length of a side of the square is x.

Now, perimeter of square = 4 × side length

Perimeter of square = 4x

Also,we are told that the triangle is equilateral and a side is (x + 1).

Thus, perimeter of triangle = 3(x + 1)

Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;

4x = 3(x + 1)

4x = 3x + 3

Subtract 3x from both sides to get;

4x - 3x = 3

x = 3

5 0
3 years ago
The difference between the set of non-negative real numbers and the set of positive real numbers is:
Inessa05 [86]

Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

So we have our answer as {0}

Which is a singleton set

4 0
3 years ago
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