Question

Given hexagon LMNOPQ is congruent to hexagon L'M'N'O'P'Q'. What is the measure of OP?

6 in
7 in
45 in
51 in

Answer 1

51in

Explanation:

Just set the equations of line OP and line O'P' equal to one another, then solve for x.

ie: 3(2x+3)=(8x-5)

To solve for x, distribute first. Then, subtract 6x from each side. Then, add 5 to each side.

ie: 6x+9=8x-5

ie: 14=2x

Now divide by 2.

ie: 7=x

Now that you have your x value, plug it back into one of the equations and solve for the measure of line OP. To check you answer, plug 7 for x into the equation where they are set equal, then solve them both and if the end result is true (51=51) it is correct.