<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;

Substituting the values, we get;




Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE = 
Length of EC = 
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;



Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;


Thus, the length of DB is 46.
Answer:
8
Step-by-step explanation:
i have 6 apples + 2 peers
Answer:
No solution?
Step-by-step explanation:
0 doesn't equal to -18
Answer:
5 blue circles are equivalent to the orange square
Step-by-step explanation:
If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.
Answer:
39 units²
Step-by-step explanation:
Quadrilateral VEDR has a width of 5 units and a height of 6 units, so an area of ...
(5 units)(6 units) = 30 units²
Triangle MVR has a base (VR) of 6 units and a height (M to VR) of 3 units, so an area of ...
(1/2)(6 units)(3 units) = 9 units²
Then the total area of the polygon MVEDR is ...
30 units² +9 units² = 39 units²