6. The dot plots show the number of hours a group of students spend online each week and how many hours they spend reading. .0000 .: : 0 1 2 3 4 5 6 7 Time Online (h) 0 1 2 3 4 5 6 7 Time Reading (h) Which statement correctly compares the shape of the data distribution on the dot plots? A. The dot plots for both Time Online and Time Reading are symmetrical. B. The dot plots for both Time Online and Time Reading show a skewed distribution of data. C. The dot plot for Time Online shows a distribution of skewed left, but the dot plot for Time Reading shows a symmetrical distribution. D. The dot plot for Time Online shows a symmetrical distribution, but the Time Reading shows a skewed left distribution.​

correct answer is b. 27/8

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

2.14x - 12.18 = -5.76

add 12.18 to each side

2.14x -12.18 +12.18 = -5.76 +12.18

2.14 x =6.42

divide by 2.14

2.14x/2.14 = 6.42/2.14

x=3