Given \qquad \overline{BA}\perp\overline{BD}

BA

⊥

BD

start overline, B, A, end overline, \perp, start overline, B, D, end overline

\qquad m \angle CBD = 4x + 52^\circm∠CBD=4x+52

∘

m, angle, C, B, D, equals, 4, x, plus, 52, degrees

\qquad m \angle ABC = 8x - 10^\circm∠ABC=8x−10

∘

m, angle, A, B, C, equals, 8, x, minus, 10, degrees

Find m\angle CBDm∠CBDm, angle, C, B, D:

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.

1.) 21

2.) 0.453

3.) 1.5

4.) 48

5.) $ 22

step-by-step explanation: