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RUDIKE [14]
2 years ago
15

The incenter of a triangle is the point of concurrency of the angle bisectors. Does a rectangle have an incenter?

Mathematics
1 answer:
Jobisdone [24]2 years ago
5 0

9514 1404 393

Answer:

  if and only if the rectangle is a square

Step-by-step explanation:

The angle bisectors of a rectangle will meet at a single point if, and only if, the rectangle is a square.

In general, a rectangle does not have an incenter.

__

The incircle must be tangent to all sides of the polygon. That cannot be the case unless the rectangle has its length equal to its width. That is, it must be a square.

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Please solve the following quadratic equation and show your work: x^2 -x =30
saveliy_v [14]
Rewriting the equation as a quadratic equation equal to zero:
     x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
     (x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
     x + 5 = 0  => x = -5
     x - 6 = 0  => x = 6
Therefore, our solutions are x = -5 and x = 6.
8 0
3 years ago
To the nearest degree what is the measure of each exterior angle of a regular dodecagon
malfutka [58]

Answer:

30^{\circ}

Step-by-step explanation:

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that a regular dodecagon is a 12 sided regular polygon with each side equal.

We know that measure of each angle of n-sided regular polygon can be found using formula:

\text{Each exterior angle}=\frac{360^{\circ}}{n}

Upon substituting n=12 in above formula, we will get:

\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}

\text{Each exterior angle of a regular dodecagon}=30^{\circ}

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

3 0
3 years ago
The domain is the set of all values a function will accept as _____.
Marina86 [1]

Answer:

  ... inputs.

Step-by-step explanation:

A function is a map of inputs to outputs. The domain of a function is the set of <em>inputs</em> for which outputs are defined.

8 0
3 years ago
carlos is baking banana bread.He uses 3/8 cup of brown sugar in one loaf.He is making 6 loaves of banana bread.How much brown su
algol13
Well, if he uses 3/8 cup per loaf and makes 6 loaves  then basically all you will need to do is  3/8 times 6 which =s 24/8. And how many times does 8 go into 24? 3 times, so Carlos will use 3 cups of brown sugar for his banana bread loaves. 


Hope this helps!:);)
4 0
3 years ago
Read 2 more answers
When you add 5x+3y to x-3y and -3 to -15, how do you know that the resulting sums are equal?
Westkost [7]

Answer:

6x - 18

Step-by-step explanation:

5x + 3y + x- 3y +(-3) + (-15)

6 0
3 years ago
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