What are the supplementary angels?

Mathematics

1 answer:

saw5 [17]3 years ago

3 0

Angle RQN and angle RQS, because they will add up to 180 degrees

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Lucero dibujo las diagonales de un polígono regular y se dio cuenta que tiene que trazar 7 diagonales más que el numero de lados

Schach [20]

Answer:

The sum of all internal angles of this polygon is: $900^o$

Step-by-step explanation:

Recall that the formula for the number of diagonals of a polygon with n-sides is given by the formula:

$diagonals=\frac{n\,(n-3)}{2}$

and since Lucero noticed that the number of digonals was 7 more that the number of sides, then, these two quantities (n + 7) and the number of diagonals must be equal. we can set an equation stating such, and solve for "n" (number of sides of the polygon):

$n+7=\frac{n\,(n-3)}{2} \\2(n+7)=n(n-3)\\2\,n+14=n^2-3\,n\\n^2-3\,n-2\,n-14=0\\n^2-5\,n-14=0\\(n-7)\,(n+2)=0\\$

therefore n = 7 or n = -2

The only answer with meaning is the first one (7 sides), since a polygon must have a positive number of sides.

Now that we know the number of sides of the polygon, we can find what the sum of its internal angles should give, based on the equation;

Addition of internal angles of a polygon is = $(n-2)\,180^o$

Which in our case renders:

$(n-2)\,180^o=(7-2)\,180^o= 5\,(180^o) = 900^o$

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For each problem, use the formula for area of a polygon Arap, where a is the length of the

MrMuchimi

Answer: b is correct

Step-by-step explanation:

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Two planes intersect in exactly one point. A.) always B.) sometimes c.) never

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B.) I am almost positive.

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Read 2 more answers

An object moves from the position +16 m to the position +47 m in 12 s. What is its total displacement? What is its average veloc

Brrunno [24]

Given that an object moves from the position +16 m to the position +47 m in 12 s. Now we need to find about what is its total displacement and what is its average velocity.

We know that displacement is the object's overall change in position.

So total displacement is given by:

Displacement = (+47) - (+16) = +31

Now velocity is given by ratio of displacement and time so final answer for velocity will be :

$Velocity=\frac{displacement}{time}=\frac{+31}{12}=2.583333$