Question

in parallelogram lonm, what is om?
7cm
17cm
24cm
34cm

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So \(OQ = QM\).
\(2x + 3=3x - 4\)

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \(3=x - 4\).
Add \(4\) to both sides: \(x = 7\).

Step3: Find \(OM\)

Since \(OM=OQ + QM\) and \(OQ = QM\), \(OM = 2\times(2x + 3)\) (or \(2\times(3x - 4)\)).
Substitute \(x = 7\) into \(2\times(2x + 3)\): \(2\times(2\times7+ 3)=2\times(14 + 3)=2\times17 = 34\).

Answer:

\(34\mathrm{cm}\)