Respuesta :

Answers:

  • x = 3
  • CD = 21
  • DE = 16
  • CE = 21

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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:

  • CD = 4x+9 = 4*3+9 = 12+9 = 21
  • DE = 7x-5 = 7*3-5 = 21-5 = 16
  • CE = 16x-27 = 16*3-27 = 48-27 = 21

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

annie413

Answer:

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