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Jet001 [13]
3 years ago
13

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

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On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 11 and length of 9
Studentka2010 [4]

The image of the arrow is missing, so i have attached it.

Answer:

A_t = 69.5 cm²

Step-by-step explanation:

In a second image attached, I have divided the arrow into triangle and rectangle.

From the second image,

A1 is area of triangle while A2 is area of rectangle

Area of triangle is; A1 = ½bh

Our triangle base is given as 9 cm.

To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.

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2 years ago
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