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nikklg [1K]
3 years ago
7

Find the sum (the total measure) of the interior angles of an Octagon. Show all of your work

Mathematics
2 answers:
Andrew [12]3 years ago
7 0
Hope this answer helps

tatiyna3 years ago
4 0
One way to do this is use the fact that the exterior angles of all polygons add up to 360 degrees
So an exterior angle of a regular octagon  = 360 / 8 = 45 degrees.
So each interior angle = 180 - 45 = 135 degrees

so total measure of all angles in octagon = 8 * 135 =  1080 degrees
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3x+4y=-36, -2x+4y=-16
8_murik_8 [283]

Answer:

3x+4y=-36

x= -4/3y-12

-2x+4y=-16

x= 2y+8

8 0
2 years ago
Point Fis on line segment EG. EG = 100, EF = 4x - 20, and FG = 2x + 30. Write an equation that you would use to solve for x, the
andrew-mc [135]

Step-by-step explanation:

Line segment = EG

point on a line segment = F

EG = 100

EF = 4x - 20

FG = 2x + 30

a/q, EF + FG = EG

the equation is

4x - 20 + 2x + 30 = 100

now solution for x is

→ 4x - 20 + 2x + 30 = 100

→ 6x + 10 = 100

→ 6x = 100 - 10 = 90

→ x = 90/6 = 15

therefore, value of x is 15.

and according to given information

EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40

FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60

hope this answer helps you dear..take care and may u have a great day ahead!

3 0
3 years ago
If the measures of two angles of a triangle are 95 and 14°, what is the measure of the third angle?​
marin [14]

Answer:

71°

Step-by-step explanation:

95° + 14° = 109°

180° in a triangle

180° - 109° = 3rd angle = 71 °

3 0
2 years ago
Read 2 more answers
A group of 48 friends meets for lunch. They greet each other by exchanging fist bumps. How many fist bumps are exchanged if each
Ber [7]
2256 fist bumps. 47 fist bumps x 48 friends is 2256 fist bumps.
8 0
3 years ago
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What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?​
Furkat [3]

Answer:

y = 2x + 4

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 4).  Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run =  4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b:  0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

6 0
3 years ago
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