Respuesta :

Answer:

|CE|=2

Step-by-step explanation:

The quadrilateral is shown in the attachment

Recall that the diagonals of a rectangle are congruent.

This implies that:

|AC|=|BD|

We substitute the expressions to get:

[tex]2x-6=5x-21[/tex]

This is now a linear equation in one variable.

Group similar terms to get:

[tex]-6+21=5x-2x[/tex]

Simplify to get:

15=3x

Divide both sides by 3 to get:

[tex]5=x[/tex]

Recall again that the diagonals of a quadrilateral bisect each other.

[tex]|CE|=\frac{1}{2}|AC|[/tex]

[tex]|CE|=\frac{1}{2}|2x-6|[/tex]

Plug x=5

[tex]|CE|=\frac{1}{2}|2*5-6| =10-6=\frac{1}{2}*4=2[/tex]

Ver imagen kudzordzifrancis

I’m going to assume this is the same one I had, in which one part inside of the rectangle was labeled 14, and the bottom outer part was labeled 30.

The correct answer to this question is 14.

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