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Advocard [28]
3 years ago
15

Work out the value of x.

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:

x = 33

Step-by-step explanation:

Sum of the interior angles of a 5-sided polygon = 540°

Therefore all the interior angles of the given polygon would all be equal to 540°.

Thus:

(4x - 25)° + (3x + 25)° + (2x - 3)° + (4x)° + (3x + 15)° = 540°

Solve for x

4x - 25 + 3x + 25 + 2x - 3 + 4x + 3x + 15 = 540

Combine like terms

4x + 3x + 2x + 4x + 3x - 25 + 25 - 3 + 15 = 540

16x + 12 = 540

16x = 540 - 12

16x = 528

Divide both sides by 16

x = 33

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The end points of a diameter of a circle are (-6,2) and (10,-2). What are the coordinates of the center of the circle?
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Check the picture below.

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4 0
4 years ago
What is an equation of the line that passes through the point ( − 6 , − 1 ) (−6,−1) and is perpendicular to the line 6 x − y = 7
xenn [34]

Answer:

y =  -\frac{1}{6} x - 2

Step-by-step explanation:

Given coordinate:

          ( − 6 , − 1 )

Equation of the given line is  6x− y = 7

Unknown:

Equation of the line that passes through the point and is perpendicular = ?

Solution:

A perpendicular line will have a slope that is of negative inverse to the one given;

              6x  - y  = 7

                     -y  = -6x  + 7

                     y  = 6x - 7

According to y= mx + c

 y and x are the coordinates

    m is the slope

     c is the y-intercept

Therefore, the slope of the line  = 6

  Perpendicular to this = -\frac{1}{6}

 The new line will be;

       Let find the intercept;

             -1  =  -\frac{1}{6} x (-6) + c

             -1  = 1 + c

               c = -2

The new line is;

              y =  -\frac{1}{6} x - 2

4 0
3 years ago
If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?
Rina8888 [55]

k=-36

Step-by-step explanation:

x inversely proportional to y

x=1k/y

where k = constant

x= -3, y= 12, k = ?

-3=k/12

k = -3 × 12

k = -36

8 0
3 years ago
If 1cm on a map represents 37 1/2 km what does a length of 2/5cm on the map represent​
inna [77]

Answer:

15

Step-by-step explanation:

37 \frac{1}{2}  \times  \frac{2}{5}  =  \frac{75}{2}  \times  \frac{2}{5}  = 15

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3 years ago
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