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4 years ago

Explain how the formula for finding the sum of the interior angle measures of a polygon is derived. (Site 1)

2 answers:

7 0

Construct a polygon, with n sides.

For a triangle to occur, you cannot join the adjacent points from a fixed point. Thus, the maximum amount of triangles you can make in an n-sided shape is (n - 2).
Since we're slicing down the polygon into triangles, we can find that the three angles have to add up to 180°.

Thus, the general formula becomes:
180(n - 2), where n is the number of sides of the polygon.

Let's verify this with a square/rectangle.
They have 4 sides, so the summation of the interior angles become: 180(4 - 2) = 360, which is indeed correct.

Gnoma [55]4 years ago

4 0

The formula for finding the sum of the interior angles of a polygon is the same, whether the polygon is regular or irregular. So you would use the formula (n-2) x 180, where n is the number of sides in thepolygon. If you draw a diagonal in the square, that forms two triangles.

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A store sells Brazilian coffee for $10 per lb. and Columbian coffee for $14 per lb. If the store decides to make a 150-lb. blend

Artemon [7]

Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

$b+c=150\\10*b+14*c=11*150$

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

$b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5$

Now, solve for b by replacing the value obtained into the first equation

$b+c=150\\b= 150 - 37.5\\b=112.5$

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

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3 years ago

Use the drawing tools to form the correct answer on the graph.

Charra [1.4K]

Answer: look at the attached image

Step-by-step explanation:

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3 years ago

for a graph of a quadratic i have x intercepts that are x=12 and x =35 do i have enough information to find the y-coordinate of

goldenfox [79]

Answer:

No... provided no other information or no graph is provided.

Step-by-step explanation:

You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.

However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.

All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.

So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.

y=a(47/2-12)(47/2-35)

I'm just going to put everything to right of a in calculator:

y=-529/4 ×a

So that's all the possible y-coordinates for the vertex.

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3 years ago

Sasha wants to know her average grade on her math tests. She earned a score of 70 on two tests, an 80 on one test, and a 90 on t

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