Consider the triangle with vertices at (0, 4) , (0, 0) , and (8, 0) and a second triangle with vertices at (8, 0) , (x, 0) , and (x, y) , where (x, y) is any point on the hypotenuse of the first triangle. Describe how you could derive the equation of the line using these two similar triangles. Be specific. Plz help with this :( ima cry.

Step-by-step explanation:

Your next two points are (0,0) And (0,-4) both of the triangles are listed next to each other they are both similar because they are next to one another and they both have a 90 degree angle

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.