All categories

3 years ago

Show work for all problems!

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

One

The measure of all the exterior angles of a convex n-gon always add up to 360 degrees.

So the exterior angles of a triangle = 360 degrees

The exterior angles of a 4 sided figure = 360 degrees

The exterior angles of a 12 sided figure = 360 degrees.

=====

Two

Same answer as One. All polygons have this property as long as they are convex.

======

Three

The relationship between the number of sides and the actual size of the exterior angle is

Sides = 360/angle size

angle size = 24

Sides = 360 / 24

Sides = 15 sides

Four

Be careful. This is an interior angle question

Given: sum of interior angles = 7380

Formula: Total of interior angles = (n - 2)*180

<em><u>Solution</u></em>

(n - 2) * 180 = 7380 Divide both sides by 180

(n - 2) * 180/180 = 7380/180 Do the division

n - 2 = 41 Add 2 to both sides

n - 2 + 2 = 41 + 2 Collect like terms

n= 43

You might be interested in

FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP

horsena [70]

Answer:

Step-by-step explanation:

we know that the total time of the show is 30 minutes.

commercial part = 3x+2

entertainment part = y

also we know that y = 3x +2

y + 3x+2 = 30

we can also say that

2(3(x) +2) = 30

so then

6x +4 = 30

6x = 26

x = 4 $\frac{1}{3}$

4 $\frac{1}{3}$ is the time in minutes for commercials

8 0

3 years ago

Answer??hellllllllppleaseee

liubo4ka [24]

The answer is the second one

30/15 = 2/1

6 0

4 years ago

Sam's vegetable garden is triangle. His plan shows that the plot is a right-angled triangle. Sam measures the sides of his veget

algol [13]

Answer:

The answer to your question is given below

Step-by-step explanation:

Let 'a' and 'b' be the length of the first two sides of the triangle and let 'c' be the longest length of the triangle.

The following data were obtained from the question:

Length of a = 17 m

Length of b = 144 m

Length of c = 145

For the triangle to be a right-angled triangle, then it must certify the pythagoras theory which states that the square of the two sides in a right-angled triangle is equal to the square of the longest side.

Thus, we can prove that the triangle is a right-angled triangle as illustrated below:

a² + b² = c²

Length of a = 17 m

Length of b = 144 m

Length of c = 145

17² + 144² = 145²

289 + 20736 = 21025

21025 = 21025

From the above illustration, we can see clearly that the square of two sides of the triangle is equal to the square of the longest side. Therefore, the triangle is a right-angled triangle.

8 0

3 years ago

Josie is trancing for a race. The ratio of number of minutes she runs to the number of miles she runs is 24 to 3 she plans to ru

timama [110]

Answer:

80 minutes.

Step-by-step explanation:

Given: Ratio of number of minutes Josie took to run number of miles= $\frac{24\ minutes}{3\ miles}$