Question

Solve for the indicated variables. BEJO is a parallelogram. a. If BE=7x+6,JO=9x+2 and EJ=12x+1, find OB.

Answer 1

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.