Question

in parallelogram mnop, the diagonals mo and np intersect at point l. ml = x + 7 and lo = 2x - 10. what is the value of x? (1 point) x = 24 x = 17 x = - 3 x = - 7

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $ML = LO$.

Step2: Set up the equation

We have the equation $x + 7=2x - 10$.

Step3: Solve for x

Subtract $x$ from both sides: $7=2x - x- 10$, which simplifies to $7=x - 10$. Then add 10 to both sides: $x=7 + 10=17$.

Answer:

$x = 17$