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Step-by-step explanation:

The angles add up to 90 degrees.

x + 2x + x + 10 = 90

Combine like terms.

4x + 10 = 90

Subtract 10 from both sides.

4x = 80

Divide both sides by 4.

x = 20

x = 20

Step-by-step explanation:

Since we are solving for x let's create an equation

The whole thing is equal to 90 degrees, so we can keep that on one part of the equation

x + 2x + (x + 10) = 90

First let's add all of the x's together making it 4x + 10 = 90

Now subtract 10 from each side 4x = 80

Lastly, divide 4 on each side

x = 20

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.