Answer: 10 and -4
Step-by-step explanation:
3x - 2 Plug in 4 for x
3(4) - 2 = 12 - 2 = 10
5x + 6. Plug in -2 for x
5(-2) + 6 = -10 + 6 = -4
Answer:
16q + 32r
Step-by-step explanation:
<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.