If the area of the trapezoid below is 75 square units, what is the value of x? A. 3 units
B. 12 units
C. 1.5 units
D. 6 units

6 units

Step-by-step explanation:

The formula for a trapezoid is ((b1+b2)/2)h.

Here, we see b1 = 8 and b2 = 17.

If the area of the trapezoid is 75, we can make the equation :

75 = ((8+17)/2)x , where we would solve for x.

First, we simplify the right side of the equation :

75 = (25/2)x

Multiply both sides by 2 to get rid of the "/2"

150 = 25x

Then divide both sides by 25.

6=x

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.

can you post the graph?