Question

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

Answer 1

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

Thus, we can say that:

$DE=EB$

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

$\begin{gathered} DE=EB \\ \Rightarrow3x-3=x+11 \end{gathered}$

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

$\begin{gathered} \Rightarrow3x-3=x+11 \\ \Rightarrow3x-x=11+3 \\ \Rightarrow2x=14 \\ \Rightarrow x=\frac{14}{2}=7 \\ \Rightarrow x=7 \end{gathered}$

Therefore, the correct answer is: option D