Question

additional details were added for this assignment.
parallelogram abcd is a rectangle.
ac = 2y + 7
bd = 3y - 4
what is the value of y?
enter your answer in the box.
y =

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, diagonals are equal. So \( AC = BD \).

Step2: Set up equation

Given \( AC = 2y + 7 \) and \( BD = 3y - 4 \), set them equal: \( 2y + 7 = 3y - 4 \).

Step3: Solve for y

Subtract \( 2y \) from both sides: \( 7 = y - 4 \). Then add 4 to both sides: \( y = 7 + 4 = 11 \).

Answer:

11