The location of Avenger's Tower is important to the safety of our planet. Steve, Natasha, and Bruce happen to all live equidistant from each other. Since Tony is filthy rich and can buy whatever he wants, he has decided to place the tower somewhere between their houses. Where in this triangle should the tower be located and why? Geometrically, how could you find this spot? (Assume
that no super powers or tech will assist these 3 Avengers when they travel to the tower)

answer: rolling a number cube and flipping a coin.

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.