Answer:
(6x-2) - (-x+5)
= 6x-2 +x -5
= 7x -7
if you're trying to solve for x, then look below
7x=7
x=1
Answer:
around 230
Step-by-step explanation:
91+122+478=691
691÷3= 230.33333333
Check the picture below.
a)
so the perimeter will include "part" of the circumference of the green circle, and it will include "part" of the red encircled section, plus the endpoints where the pathway ends.
the endpoints, are just 2 meters long, as you can see 2+15+2 is 19, or the radius of the "outer radius".
let's find the circumference of the green circle, and then subtract the arc of that sector that's not part of the perimeter.
and then let's get the circumference of the red encircled section, and also subtract the arc of that sector, and then we add the endpoints and that's the perimeter.


b)
we do about the same here as well, we get the full area of the red encircled area, and then subtract the sector with 135°, and then subtract the sector of the green circle that is 360° - 135°, or 225°, the part that wasn't included in the previous subtraction.

I think that you assumed that:
2k - 1 = k + 2
However we can't do this, because a square has 4 sides whilst a triangle only has 3 sides.
This means that we can say
4(2k - 1) = 3(k + 2)
We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.
Lets expand the brackets, and solve it:
4(2k - 1) = 3(k + 2)
8k -4 = 3k + 6
5k -4 = 6 ( subtract both sides by 3x to collect the x values)
5k = 10 (add both sides by 4 to get the x's alone)
k = 2 (divide both sides by 5 to get what just x is)
So k = 2 units