During a hiking trip, Keesha and Dwayne decide to climb a mountain using two different routes to the top. Keesha tkes the hiking route that travels 5 miles south, 6 miles east, 7 miles sought, and 2 miles west to the simmit; Dwayne uses the climbing route that starts at the same point as the hiking route but goes directly from there to the summit. Approximately how many miles in all will the two hike on the way to the summit?

12.65

33.42

29.42

34.00

32.65

step-by-step explanation:

b and c

the answer is c just got it on ed

step-by-step explanation:

(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

there are infinitely many solutions.