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dlinn [17]
2 years ago
7

How do I find the value of x?​

Mathematics
1 answer:
garik1379 [7]2 years ago
8 0

Answer: x = 15

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides.

sum of angles = (n - 2) × 180

sum of angles = (7 - 2) × 180

sum of angles = 5 × 180

sum of angles = 900°

Now to find the value of x, we have to set each of the interior angles, added up, equal to 900°:

7x + 1 + 10x + 6x + 7 + 10x - 9 + 9x + 4 + 8x + 10 + 9x + 2 = 900

Combine like terms:

(7x + 10x + 6x + 10x + 9x + 8x + 9x) + (1 + 7 - 9 + 4 + 10 + 2) = 900

59x + 15 = 900

59x + 15 - 15 = 900 - 15                     subtract 15 from both sides

59x = 885                                  

59x/59 = 885/59                               divide by 59 on both sides

x = 15

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Answer:

s + b = $24,000

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Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

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s + b = $24,000

And,

s = 3b + $6,000

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3 years ago
Gideon is painting all sides of a square pyramid-shaped decoration at the top of his fence post. A net of the decoration is show
frez [133]
Gideon is painting all sides thus we find the overall area of the square pyramid given in the picture. A square pyramid is a polyhedron that consists of a square and 4 triangles. To solve the area that Gideon will have to paint, we can calculate the area of the square and the area of the triangles then add these two values of area. We proceed as follows:
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6 0
3 years ago
What is 4 and 11/32 as a decimal
anygoal [31]
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3 years ago
Find the greatest common factor of the following monomials 30x^3y^4. X^5y^3
castortr0y [4]

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Step-by-step explanation:

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3 years ago
The points A(-3,6), B(8,6), C(8,-4)and D(-3,-4)are vertices of rectangle ABCD. A point is selected at random from the interior o
aleksklad [387]

Answer:

the probability that the x-coordinate of the point is negative and the y-coordinate of the point is positive  is 16.36%

Step-by-step explanation:

Assuming that each point has the same probability to be chosen  ( uniform probability distribution in the rectangle area ) then the probability of choosing a negative x-coordinate and positive y-coordinate is the ratio of the area with those requirements over the total area of the rectangle.

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then

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4 0
3 years ago
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