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2 years ago

Write the definition of the vertex of an angle as a biconditional statement

Mathematics

2 answers:

geniusboy [140]2 years ago

5 0

Answer:

The vertex of an angle is formed, if and only if the sides of the angles intersect or meet.

Step-by-step explanation:

The definition of the vertex of an angle is - The vertex of the angle is the point, where the sides of the angle intersect.

A bi conditional statement is in the form of - p if and only if q.

Hence, the definition of the vertex of an angle as a bi conditional statement can be written as :

The vertex of an angle is formed, if and only if the sides of the angles intersect or meet.

daser333 [38]2 years ago

4 0

The highest point,the top, or apex it is just like a mountain,its vertex is called an peak

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Troyanec [42]

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1 year ago

Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion

nalin [4]

Answer:

a. The point (4,9) appears in both tables

Explanation:

Note: This question can be solved without the need of the tables

A solution of a system of equations is defined as a point (or set of points) that satisfy both equations

This means that, this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

Since the point (4,9) appears in both tables, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

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2 years ago

For a polygon to be convex means that all of its interior angles are less than 180 degrees. Prove that for all integers n ≥ 3, t

Alexeev081 [22]

Answer: check explanation

Step-by-step explanation:

Let K(n) be the sum of the interior angles in any n-sided convex polygon which is exactly 180(n −2)

degrees.

CASE: n = 3. A 3-sided polygon is a triangle, whose interior angles were shown always to sum to be 180 degree

INDUCTION HYPOTHESIS: Suppose that K(b) holds for some b ≥ 3. Which means that the interior angles in any b-sided convex

polygon is exactly 180(n −2) degrees.

INDUCTION STEP: We need to show that K(n is greater than or equals to 3) . That is, the interior angles of any b+1-sided convex polygon

is exactly 180(b−2) = 180(b −1) degrees,

Let X be any (b+1)-vertex convex polygon, say with successive vertices x1, x2,..., xb+

Now Y is also a convex polygon , so by the induction hypothesis K(b), the sum of the interior

angles of Y is 180(k −2).

Now let T be the triangle with vertices xk , xb+1, x1. The sum of the interior angles in X is the sum of those

in Y plus the sum of those in T .

So the sum of the interior angles in X is

180(b −2)+180 = 180((b +1)−2) = 180(b −1).

Since X was arbitrary, we conclude that the sum of the interior angles of any (b +1)-sided convex polygon

is 180((b−2)+1) = 180(b−1). That is, P(b +1) holds.

And which means that n is greater or equals to 3

8 0

2 years ago

HELP PLEASE. Which regression equation best fits these data?

AlladinOne [14]

Answer:

B. y = -0.58x^2 -0.43x +15.75

Step-by-step explanation:

The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.

The second choice is appropriate.

_____

The other choices are ...

A. a parabola opening upward

C. an exponential function decaying toward zero on the right and tending toward infinity on the left

D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)

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2 years ago

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Zacharias is using the quadratic formula to solve the equation 0 = –2x2 5x – 3. he begins by substituting as shown.quadratic for

aliya0001 [1]

Answer:

D is the answer

Step-by-step explanation:

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2 years ago

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