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Savatey [412]
3 years ago
11

Please help! (image is for question 3)

Mathematics
2 answers:
nika2105 [10]3 years ago
6 0

The formula for the total sum of the inner angles of the polygon is

Sn= (n-2) 180°

1) S6= (6-2) 180 = 4*180 = 720° In the hexagon all angles are equal

α= S6/6= 720/6= 120°

2) In each polygon the sum of the external angles is 360°

3) S5= (5-2) 180 = 540° than  we can add up all angles

x+131+108+107+110=540 => x= 540-456= 84°

4) α = 360/5=72°

Good luck!!!


Nata [24]3 years ago
3 0

Answer:

i got a 40%on the test.. what did you get?

Step-by-step explanation:

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Montano1993 [528]

As per the given data 100, 150, 200, 250, 300, 350 the range of the data set is 250.

<h3>What is range?</h3>

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

We have:

Last summer, Winky's watermark kept track of the number of park visitors each day.

The data given:

100, 150, 200, 250, 300, 350

As we know range is a statistical measure which is the difference between maximum and minimum value.

Range = maximum value in data set—minimum value in data set

Range = 350 - 100 = 250

Thus, as per the given data 100, 150, 200, 250, 300, 350 the range of the data set is 250.

Learn more about the range here:

brainly.com/question/17553524

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2 years ago
Choose the best answer. The diagonals of a rectangle:
erastovalidia [21]

C.) Are the same length

<u>How you know-</u>

No matter how long the rectangle is the diagonals always will measure the same length. Think about two sides of a square, they have to equal the same length because if they were not the same then the shape wouldn't be a square.

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3 years ago
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PLEASE HELP!!<br> How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
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Answer: No~Solutions

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : -4x-11=2(x-3x)+13

Equations that are never true:

1.1     ~~~~ Solve :    -24   =  0

This equation has no solution.

A non-zero constant never equals zero.

<u><em>Therefore your answer is </em></u>No~Solution

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2 years ago
A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes
Rudik [331]

A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to 180^{o}. The <em>measures</em> of the internal <u>angles</u> of the <u>triangle</u> given in the question are A = 52.6^{o}, B = 59.4^{o}, and C = 68^{o}.

A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to 180^{o}.

Considering the given question, let the <u>sides</u> of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the <em>Cosine rule</em> to have:

c^{2} = a^{2} + b^{2} - 2ab Cos C

So that;

7^{2} = 6^{2} + (6.5)^{2} - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

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Cos C = \frac{29.25}{78}

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C = Cos^{-1} 0.375

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C = 68^{o}

Apply the <em>Sine rule</em> to determine the <u>value</u> of B,

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{6.5}{Sin B} = \frac{7}{Sin 68}

SIn B = \frac{6.5 *Sin 68}{7}

         = 0.861

B = Sin^{-1} 0.861

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B = 59.4^{o}

Thus to determine the value of A, we have;

A + B + C = 180^{o}

A + 59.4^{o} + 68^{o} = 180^{o}

A = 180^{o} - 127.4

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A = 52.6^{o}

Therefore the <u>sizes</u> of the <em>internal angles</em> of the triangle are: A = 52.6^{o}, B = 59.4^{o}, and C = 68^{o}.

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

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