The Smith family of 4 completes 8 loads of. laundry each week. They estimate the total cost (energy, water, and detergent) is $7.76 for these 8 loads of laundry. The addition of another child increases the weekly laundry to 11 loads. Assuming the
same basic laundry costs, what is the total cost of the new weekly laundry? Round to the nearest cent.
Provide you

(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

  d. △abc is congruent to △fde

step-by-step explanation:

triangle abc is reflected across the x-axis. the corresponding vertices are

the names of the triangles in the congruence statement must have corresponding vertices in the same order. that is, △abc is congruent to △fde.