Can someone please help me with this

Answers:

Explanation:

The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.

CE = CD

16x-27 = 4x+9

16x-4x = 9+27

12x = 36

x = 36/12

x = 3

This x value then leads to the following:

We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.

x=3

CD= 21

DE= 16

CE= 21

Step-by-step explanation:

First, let's solve for x. Since angles D and E are congruent, you know that the length of lines CD and CE are equal. So, let's set up the equation by putting lines CD and CE equal to each other.

CD=CE

4x+9=16x-27

x= 3

Now that we've solved for x, we can now plug in the value into the other expressions to find the side lengths.

CD=4x+9

CD=4(3)+9

CD= 21

CE=16x-27

CE=16(3)-27

CE= 21

DE= 7x-5

DE= 7(3)-5

DE= 16

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

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.