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Illusion [34]
2 years ago
10

9) A heptagon has 6 exterior angles with measures of 47, 55, 62, 64, 54, and 49. What is the measure of the interior angle adjac

ent to the seventh exterior angle?
Mathematics
1 answer:
svetlana [45]2 years ago
6 0

Answer:

seventh  interior angle=∠x=29°

Step-by-step explanation:

sum of interior angle of polygon is equal to 360°

let seventh angle of heptagon is x

∠x+47°+55°+62°+64°+54°+49°=360°

∠x=360°-(47°+55°+62°+64°+54°+49°)

∠x=360°-331°=29°

∠x=29°

seventh  interior angle=∠x=29° answer

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50 Points! find x and explain how you found it!
stepan [7]

To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:

   sin(53) = (side opposite angle of 53 degrees) / hypotenuse

    sin(53) = x / 24

     x = 24 sin(53)

    x = 19.16

Hope that helped

3 0
2 years ago
Read 2 more answers
Write the equation in standard form for the circle that has a diameter with endpoints (- 1, 12) and (- 1, 8)​
matrenka [14]

Answer:

The equation in standard form is (x + 1)^{2} + (y - 10)^{2} = 4

Step-by-step explanation:

The distance from (-1, 12) to (-1, 8) = 4 = diameter of the circle.  So, 2 = radius

The center of the circle is at (-1, 10)

The equation in standard form is (x + 1)^{2} + (y - 10)^{2} = 4

3 0
3 years ago
Stephen Curry's record during the 2017 - 2018 NBA final game is made up of 2-point shots and 3-points.
grandymaker [24]

Answer:

x =  12      ( two points shots )

y =  7       ( three points shots )

Step-by-step explanation:

Let´s call  "x" two points shots,  and  "y" three points shots, then

x  +  y  =  19

2*x  +  3*y  =  45

We have to solve a two-equation system for x and y

y =  19  - x

2*x  +  3 * ( 19 - x ) = 45

2*x  +  57  -  3*x   =  45

- x   =  45 - 57

-x   =  - 12

x  = 12

And     y  =  19  -  12

y  = 7

4 0
3 years ago
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mojhsa [17]

Answer:

Wolves

Step-by-step explanation:

Because Wolves have claws and are cool

6 0
2 years ago
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Harrizon [31]
\bf x^3=125\implies x=\sqrt[3]{125}\implies x=5
5 0
3 years ago
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