Question

what is the length of segment eb in parallelogram abcd? 30 units 34.5 units 69 units 138 units

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \(2x + 9=3x - 21\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \(9=x - 21\).
Add \(21\) to both sides: \(x=9 + 21=30\).

Step3: Find the length of \(EB\)

Substitute \(x = 30\) into \(3x-21\): \(3\times30-21=90 - 21 = 69\).

Answer:

69 units