Question

in parallelogram lonm, what is om? (2x + 3) cm (3x - 4) cm 7 cm 17 cm 24 cm 34 cm

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $OQ = QM$.
We have $2x + 3=3x - 4$.

Step2: Solve for x

Subtract $2x$ from both sides: $3=x - 4$.
Then add 4 to both sides: $x=7$.

Step3: Find length of OM

Since $OM = OQ+QM$ and $OQ = QM=2x + 3$ (or $3x - 4$).
Substitute $x = 7$ into $2x+3$, we get $2\times7 + 3=14 + 3=17$.
So $OM=2\times17 = 34$ cm.

Answer:

34 cm