Answered

Discover new perspectives and gain insights with IDNLearn.com. Explore thousands of verified answers from experts and find the solutions you need, no matter the topic.

Given:• ABCD is a parallelogram.• DE=3z-3• EB=2+11• EC = 5x + 7What is the value of x?44.507

Given ABCD Is A Parallelogram DE3z3 EB211 EC 5x 7What Is The Value Of X44507 class=
Given ABCD Is A Parallelogram DE3z3 EB211 EC 5x 7What Is The Value Of X44507 class=

Sagot :

To answer this question, we need to recall that: "the diagonals of a parallelogram bisect each other"

Thus, we can say that:

[tex]DE=EB[/tex]

And since: DE = 3x - 3 , and EB = x + 11, we have tha:

[tex]\begin{gathered} DE=EB \\ \Rightarrow3x-3=x+11 \end{gathered}[/tex]

we now solve the above equation to find x, as follows:

[tex]\begin{gathered} \Rightarrow3x-3=x+11 \\ \Rightarrow3x-x=11+3 \\ \Rightarrow2x=14 \\ \Rightarrow x=\frac{14}{2}=7 \\ \Rightarrow x=7 \end{gathered}[/tex]

Therefore, the correct answer is: option D

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.