Question

SOMEONE PLEASE HELLPPPP

Answer 1

93.39

Explanation:

So the sum of exterior angles of the convex octagon is: 360 degrees

This means if we add all the equations that represent each angle, we can set it equal to 360 and solve for x

`(x+14) + (2x-3) + (3x+8) + (3x+16) + (2x-17) + (3x-4) + (3x-12) + (6x)`

Group like terms

`(x+2x+3x+3x+2x+3x+3x+6x) + (14-3+8+16-17-4-12)`

Add like terms

`23x+2`

Now let's set the sum of exterior angles to 360

`23x+2 = 360`

Subtract 2 from both sides

`23x=358`

Divide both sides by 23

`x\approx 15.565`

So by looking at all these, it appears that 6x is the highest value, given that x is positive. The way I estimated, is approximately 15.5, whenever I saw an equation like x+14, I estimated it's about 2x, since 14 is not exactly, but close to 15.5. I did this with each polynomial given. You could also manually check each one

Original equation

6x

Subsitute

6(15.565)

Simplify

`93.39`