The complete question is: quadrilateral ABCD is a rectangle (see attached image) If BE = 6y + 2 and CE = 4y + 6, find the value of y
Answer: y = 2
Explanation: We are given that the quadrilateral ABCD is a rectangle. This means that it has the following properties: 1- Its diagonals are equal. This means that: AC = BD 2- Diagonals bisect eqcah other. This means that: BE = ED and AE = EC
From the above, we can infer that: BE = CE This means that: 6y + 2 = 4y + 6 6y - 4y = 6 - 2 2y = 4 y = 4/2 y = 2