What is the correct order of steps for bisecting angle abc? draw a ray from point b through point f. keeping the compass the same distance, place the compass on point e, and draw an arc inside the angle. place point d on the intersection of the arc on ray ba and point e on the intersection of the arc with ray bc. place point f on the intersection of the arcs created from points d and e. place the compass on point b, and swing an arc that intersects rays ba and bc. place the compass on point d, and draw an arc inside the angle. e c f b d a f c e b d a e d f b c a f d e b c a

(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