Answer: answer C is correct or 1,808 meters squared
Step-by-step explanation:
The answer is the second option, or Ray BE is a bisector of angle ABE.
Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3. 
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4. 
SAS criterion for congruence
5. 
Corresponding angles of congruent triangles are congruent
6. 
Converse of alternate interior angle theorem
7. 
Vertical angle theorem
8. 
SAS criterion for congruence
9. 
Converse of alternate interior angle theorem
As, , so 
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
