Triangle ABC is shown below. What is the length of line segment AC?
07
A
09
2x
3x - 7
O 14
18
B
4x - 10
с

14

Step-by-step explanation:

3x-7=2x(isosceles triangle)

x=7

AC=3(7)-7=21-7=14

14

Step-by-step explanation:

the answer is 40.

proof:

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.