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DiKsa [7]
2 years ago
9

Please answer this question​

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
6 0

\bold{\huge{\underline{ Solution }}}

<u>Before </u><u>answering </u><u>the </u><u>given </u><u>question</u><u>, </u><u>you </u><u>should </u><u>know </u><u>the </u><u>difference </u><u>between </u><u>polygon </u><u>and </u><u>regular </u><u>polygon</u><u>. </u>

  • Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles.
  • Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .

<u>There </u><u>are </u><u>different </u><u>types </u><u>of </u><u>polygon </u><u>based </u><u>on </u><u>the </u><u>sides </u><u>:</u><u>-</u>

  • A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on.

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

I have thought to make a 4 side polygon that is quadrilateral.

<u>Steps </u><u>of </u><u>construction </u><u>:</u><u>-</u><u> </u>

  • Step - 1 :- Draw a 5 cm line AB horizontally
  • Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC
  • Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD
  • Step - 4 :- Now, join the line AD
  • Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.

<u>Result </u><u>:</u><u>-</u><u> </u> All the angles are equal that is 90° each.

<u>Conclusion </u><u>:</u><u>-</u><u> </u> The above figure is square as it is having equal sides and angles.

<h3><u>Now</u><u>, </u><u>we </u><u>have </u><u>to </u><u>find </u><u>the </u><u>sum </u><u>of </u><u>the</u><u> </u><u>angles</u><u> </u><u>of </u><u>the </u><u>polygon </u><u>:</u><u>-</u></h3>

<u>Here</u><u>, </u><u> </u>

  • All angles are equal in measure 90°

<u>Therefore</u><u>, </u>

The sum of the angles of the given polygon

\sf{ = 90{\degree} + 90{\degree} + 90{\degree} + 90{\degree} }

\sf{ = 180{\degree} + 90{\degree} + 90{\degree} }

\sf{ = 270{\degree} + 90{\degree} }

\sf{ = 360{\degree} }

Hence, The sum of the angles of the above polygon is 360° .

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Sharon is twice as old as Brian, and in 5 years the sum of their ages will be 25 years. Find their present ages.
Vinil7 [7]
Sharon's age= 2x
Brian's age= x

(2x-5)+(x-5)= 25
3x-10=25
3x=15
x=5
Brian is 5 years old and Sharon is 10

3 0
3 years ago
Solve the equation below for x. 5x- 2 = -7 What is x=_____
Sati [7]

Answer:

x = -1

Step-by-step explanation:

Start with adding 2 to -7

-7 + 2

=-5

Then divide by 5

-5/5

=-1

6 0
3 years ago
Find the corresponding effective interest rate for 3% per year compounded continuously?
jeyben [28]

Answer:

3.045%.

Step-by-step explanation:

We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.

We will use effective interest formula to solve our given problem.

r=e^i-1, where,

r = Effective interest rate,

e = Mathematical constant,

r = Interest rate in decimal form.

Let us convert given interest rate in decimal form.

3\%=\frac{3}{100}=0.03

Substitute values:

r=e^{0.03}-1

r=1.030454533953517-1

r=0.030454533953517

r\approx 0.03045

Convert into percentage:

0.03045\times 100\%=3.045\%

Therefore, the corresponding interest rate would be 3.045%.

3 0
3 years ago
If Sam would like to see only the records that have a price that is more than ten and a profit that is more than three percent,
Misha Larkins [42]

Hello :)

I think this answer is third because you said "more than 10" and this is meaning :

>10

then you said "more than three percent" and this is meaning :

> %3

My answer is = > 10 and > 3%

Have a nice day :)

3 0
3 years ago
29. Martin has some dollar notes. 20% of the notes are $10 notes, 40% of
Katena32 [7]

Answer:

  • 225 notes

Step-by-step explanation:

Let the number of notes is x.

<u>20% of notes is: </u>

  • 0.2x

<u>40% of the remainder is: </u>

  • 40% of 0.8x, so it is
  • 0.8x*0.4 =
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<u>Remaining notes are:</u>

  • x - 0.2x - 0.32x =
  • 0.48x

<u>Total of the notes:</u>

  • 0.2x*10 + 0.32x*5 + 0.48x*2 = 1026
  • 2x + 1.6x + 0.96x = 1026
  • 4.56x = 1026
  • x = 1026/4.56
  • x = 225
5 0
2 years ago
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