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

51in

Step-by-step 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.

kk.bj.

step-by-step explanation:

.mnm.kn.kj

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.