Question

HELP!!! all work is due in 2 hours

Answer 1

The outside arcs for a circle enveloping a triangle will always equal 360.

Set up an equation that has all arcs equal 360:


`(3x + 30) + (5x + 10) + (2x + 20) = 360`

Combine like terms:


`3x + 5x + 2x = 10x`

`30 + 10 + 20 = 60`


`10x + 60 = 360`

Subtract 60 from both sides:


`10x = 300`

Divide both sides by 10 to get x by itself:


`x = 30`

We can now find the values of the arcs:


`3(30) + 30 = 90 + 30 = 120`

`5(30) + 10 = 150 + 10 = 160`

`2(30) + 20 = 60 + 20 = 80`

All three arc lengths are different, which means that the triangle's side lengths are all different. This makes the triangle a scalene triangle.