Question

cn = 2m + 19
ne = 4m - 1
given the parallelogram in the image, solve for m.
cannot solve for the variable with this information
m = 39
m = 12
m = 10

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So $CN=NE$.

Step2: Set up the equation

$2m + 19=4m - 1$.

Step3: Solve for $m$

Subtract $2m$ from both sides: $19 = 4m-2m - 1$, which simplifies to $19=2m - 1$. Then add 1 to both sides: $20 = 2m$. Divide both sides by 2: $m = 10$.

Answer:

D. $m = 10$