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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.• DE=3z-3• EB=2+11• EC = 5x + 7What is the value of-example-1
Given:• ABCD is a parallelogram.• DE=3z-3• EB=2+11• EC = 5x + 7What is the value of-example-1
Given:• ABCD is a parallelogram.• DE=3z-3• EB=2+11• EC = 5x + 7What is the value of-example-2
User Dslack
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1 Answer

11 votes
11 votes

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=(14)/(2)=7 \\ \Rightarrow x=7 \end{gathered}

Therefore, the correct answer is: option D

User Toza
by
3.1k points
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