COMBINE ALL LIKES TERMS.
r+r+r+r

r+3r+2​

r+r+r+r=4r

r+3r+2=4r+2

Step-by-step explanation:

1. r+r+r+r

 r+r+r+r

=(r+r)+(r+r) ⇔ Group two together

=2r+2r ⇔ Simplify

=4r

2. r+3r+2

 r+3r+2

=4r+2

Hope this helps!! :)

Please let me know if you have any quesitons

8r+2

Step-by-step explanation:

yes. we do proportions in probabilities.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240