Question

for what value of x must abcd be a parallelogram?
for abcd to be a parallelogram, the value of x must be \boxed{}. (simplify your answer.)

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, the diagonals bisect each other. So, \(2x=3x - 8\).

Step2: Solve the equation

Subtract \(2x\) from both sides: \(0=3x-8 - 2x\).
Simplify to get \(x - 8=0\).
Add \(8\) to both sides: \(x=8\).

Answer:

\(8\)