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Lesechka [4]
3 years ago
6

One exterior angle of a regular pentagon has a measure of (2x) what is the value of x

Mathematics
2 answers:
Nataly [62]3 years ago
8 0
<span>Each Exterior Angle = (360 degrees) ÷ (Number of Sides)
</span>
A pentagon has 5 sides so

<span>Each Exterior Angle = 360 / 5
</span>
Each Exterior Angle =72
If the exterior angle = 2x and the angle = 72 degrees then
2x = 72 and 
x = 36
Source:
http://www.1728.org/polygon.htm




NikAS [45]3 years ago
7 0

Answer:

x = 36° .

Step-by-step explanation:

Given : One exterior angle of a regular pentagon has a measure of (2x).

To find :  what is the value of x.

Solution : We have given

One exterior angle of a regular pentagon has a =  (2x).

Each exterior angle = \frac{360}{number\ of\ exterior\ angle}.

Plug the values each exterior angle = 2x , number of exterior angle = 5.

2x = \frac{360}{5}.

2x = 72.

On dividing both sides by 2

x = 36.

Therefore, x = 36° .

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zlopas [31]

Answer:

B. 300

Step-by-step explanation:

Final figure volume = big cuboid volume - small cuboid volume

Volume of a cuboid = height x width x length

Final figure = (6 x 6 x 15) - (4 x 4 x 15)

Final figure = 540 - 240

Final figure = 300mm^2

5 0
3 years ago
Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o
wel

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is  x = 274 \ unites

Step-by-step explanation:

From the question we are told that

       The length of the vertical length is  x

      The length of the base leg is L = 330 + d units

      The length of the bisecting line segment is h

       The base angle is \theta  = 28^o

       The angle between d and line segment is  \theta_1 =  56^o

For the first angle

         Tan \theta_1 =  \frac{x}{d}

=>     d =  \frac{x}{Tan \theta _1}

 For the whole big triangle

      Tan \theta = \frac{x}{330 + d}

=>     d = \frac{x}{Tan \theta }  -330

So equating the both d

        \frac{x}{Tan \theta _1} =    \frac{x}{Tan \theta }  -330

Substitute values

        \frac{x}{Tan (56)} =    \frac{x}{Tan (28) }  -330

      0.6745 x =    1.880x  -330

       1.20549 x = 330

       x = 274 \ unites

     

   

5 0
3 years ago
What is the degree of the power function represented in the table?
allochka39001 [22]

Answer:

3

Step-by-step explanation:

-2+1= -1

4-3=1

-3/1= -3

3 0
3 years ago
Read 2 more answers
Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
AnnZ [28]

Answer:

\mathbf{X_E (2) =  1}

\mathbf{X_E (-2) = 0 }  

\mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

X_E : Z \to R be the characteristic function of E.

∴

X_E(x) = \left \{ {{1 \ if  \ x \ \  is \ an \ element \ of \ E} \atop {0 \ if  \ x \ \  is \ not \ an  \ element \ of \ E}} \right.

For XE(2)

\mathbf{X_E (2) =  1}  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

\mathbf{X_E (-2) = 0 }   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\  \mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

E = {2,4,6,8,10 ....∞}

5 0
3 years ago
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c
svp [43]

Answer:

0.2839 = 28.93%

Step-by-step explanation:

In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z

Le x be tons of coal in a car

Z = (x – mean)/standard deviation

Z = (x – μ)/ σ

P (x<68.5) = P(z < (68.5-69)/0.9)

P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

5 0
3 years ago
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