Thomas is researching locations to live after high school and asks his family members about the number of different places they have lived. let a be the set of the number of places where nine of thomas' family members have lived after high school. a = {3, 2, 7, 8, 6, 8, 3, 4, 3} thomas forgot that his uncle traveled with the military and has lived in 15 different places since high school. let b represent the set of the number of places where all ten of his family members, including his uncle, have lived after high school. select the true statement. the interquartile range of a is 0.5 more than the interquartile range of b. the mean of b is the same as the mean of a. the interquartile range of a is 1.5 less than the interquartile range of b. the mean of b is greater than the mean of a.

D for plato users

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

no

explanation:

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