Final answer:
The problem requires finding the correct statements for parallelogram LMNO given angle expressions with variable x. Based on the calculation, x is found to be 7/5 or 1.4, which contradicts the options provided. Without further information, it's not possible to confirm most of the statements as true.
Step-by-step explanation:
The student is asked to find the correct statements about parallelogram LMNO with given angle expressions ZM = (11x) and ZN = (6x - 7). To solve for x, we use the fact that in a parallelogram opposite angles are equal. Therefore, we set 11x equal to 6x - 7, which simplifies to 5x = 7, giving us x = 7/5 or x = 1.4. Checking through the provided options, the correct statements can be determined.
A) x=11 is incorrect because x = 7/5.
B) m∠L=22° cannot be directly confirmed without additional information.
C) OM=111 cannot be confirmed without additional contexts such as the unit or length of the sides.
D) m∠MZN=59° is correct if we calculate the angle using x = 1.4 (6x - 7 = 6(1.4) - 7 = 8.4 - 7 = 1.4, which cannot equal 59°).
E) m∠O=121° cannot be confirmed as correct without knowing the measures of angles L and N.
As the information provided is not sufficient for determining the truth of most statements, none of the options except D can be confirmed with the information given, and even D is incorrect based on the calculated value of x.