Final answer:
To find the length of OB in the parallelogram BEJO, we equated the opposite sides BE and JO, solved for x, and then used x to calculate OB. The length of OB is 20 units.
Step-by-step explanation:
To find the length of OB in a parallelogram BEJO, we need to use the properties of parallelograms. Since opposite sides of a parallelogram are equal, we can equate BE to JO and solve for x:
BE = JO
7x + 6 = 9x + 2.
To solve for x, we will rearrange the equation:
- 7x + 6 = 9x + 2
- 6 - 2 = 9x - 7x
- 4 = 2x
- x = 2.
Now that we have the value of x, we can use it to find the length of OB by substituting x back into the expression for BE:
OB = BE
OB = 7x + 6
OB = 7(2) + 6
OB = 14 + 6
OB = 20.
So, the length of OB is 20 units.