All categories

3 years ago

Fill in the blanks to complete the inference chart. Write your answers in order.

Mathematics

1 answer:

elixir [45]3 years ago

6 0

Answer:

triangles
180°
triangles, 180°

Step-by-step explanation:

A diagonal divides a polygon into two parts. Drawing all of the diagonals from a given vertex to the other non-adjacent vertices will divide the polygon into triangles.

The angle sum theorem tells you the sum of triangle angles at any polygon vertex will be equal to the measure of the interior angle of the polygon at that vertex. Since we're concerned only with triangles created by drawing diagonals between non-adjacent polygon vertices, the sum of triangle angles will be the sum of polygon angles.

So, you can multiply the number of triangles by 180° to find the sum of interior angles of the polygon. (The number of triangles is two fewer than the number of polygon sides.)

You might be interested in

5 x + 4y= 16 X+y = 3.5 Find out what each letter is equal to X= Y=

klemol [59]

X=4
Y=-0.5

Do you need an explanation?

5 0

4 years ago

9 gal 2 qt to quarts

Ad libitum [116K]

Answer:

38 us liquid quarts

Step-by-step explanation:

8 0

3 years ago

NEED HELP WITH THESE 5 QUESTIONS!!!

mart [117]

Answer:

The car travels different distances per unit of time because the portion shows a nonlinear, increasing function; -50; Both Table A and Table B do not represent functions; −2 ; {−2, 0, 1, 2, 3, 4}

Step-by-step explanation:

A linear graph of any sort is a graph that has a constant rate of change. This graph is not linear; therefore it does not have a constant rate of change. This means that the car travels different distances per unit of time between sections.

To find the rate of change, we find the slope between these two points. We use the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our points, we have

$m=\frac{150-0}{0-3}=\frac{150}{-3}=-50$

A function is a relation in which each element of the domain (x) is mapped to only one element of the range (y). In both of these tables, we have x-values that are mapped to two y-values; in Table A, 3 is mapped to 1 and 0; and in Table B, 5 is mapped to 2 and -2.

We use the slope formula again:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our points, we have

$m=\frac{-7-1}{3--1}=\frac{-7-1}{3+1}=\frac{-8}{4}=-2$

The domain of a graph is the set of inputs or x-values. From our points, we have the set:

{-2, 0, 1, 2, 3, 4}

5 0

3 years ago

Read 2 more answers

If it takes 20 N to move a box, how much power will be needed to move the box a distance of 5 meters in 5 seconds?

Dmitry [639]

Power is work done per time and work done is force times distance. The power is found by multiplying the force(20N) and the distance(5m) and dividing the product by the time(5s)
(20*5)/5=20Nm/s OR 20 watts.
Therefore the power needed is 20 watts.

4 0

4 years ago

Read 2 more answers

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.