Can someone check my answer and you

im ppretty sure thats correct. Im not a genius though.

294 m² is correct

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the height and a, b the parallel bases

here h = 21, a = 21 and b = 7, thus

A = [tex]\frac{1}{2}[/tex] × 21 × 28 = 294 m²

14

Step-by-step explanation:

Equation to finding N

n+9=4n-6

n=5

4 times 5-6=14

Hello!

Your essay looks very well written, however there are some indents and spaces where there doesn’t have to be, but I don’t know if that was your choice. You also have a couple letters capitalized when the shouldn’t be, so just check over your essay again.

I got the Same! A is the answer!

Step-by-step explanation:

You've got the concept correct, but be careful with your parentheses.  You should write it 3/(2n).  Otherwise it looks like three halves n.

Yes.

Step-by-step explanation:

Yes, but I would write the equation as 3/ (2n) so that it is not understood as

'3/2 times n'.

A isn't always true since we can slide D and E up so that DK = KE is false

B is always true by what is set up. We're given that DE is the perpendicular bisector, so DE is perpendicular to JL

C is always true because of the "bisector" portion (aka cuts it in half)

D is always true, which can be proven through the use of SAS and then CPCTC

So you have the right answer, which is choice A

You have the correct value for n and the correct length for segment FG. Nice work. 

You have the correct x value and correct midsegment length. You're on a roll.

To check your answer, simply replace every copy of x with 6 and then simplify each side

2*(6*x+4) = 4*x+56
2*(6*6+4) = 4*6+56 ... replace every x with 6
2*(36+4) = 24+56
2*40 = 80
80 = 80 
The last equation is true so the first equation is true when x = 6
The answer has been confirmed.

Once you know x = 6, the rest of the problem isn't too bad
6*x+4 = 6*6+4 = 36+4 = 40
which is what you got. So that part is correct as well

Or you can compute the bottom side
4*x+56 = 4*6+56 = 24+56 = 80
and then cut that in half
80*(1/2) = 40

Either way the midsegment is 40 units long.