Final answer:
The value of x is 6.6 and the length of segment DE is 16.2 units.
Step-by-step explanation:
To find the value of x and the length of segment DE, we can use the given equations:
1. 5RE = 2x + 3
2. 10x + 15 = 9(9)
From equation 2, we can simplify it to 10x + 15 = 81.
Subtracting 15 from both sides, we get 10x = 66.
Dividing both sides by 10, we find x = 6.6.
Substituting x = 6.6 into equation 1, we get 5RE = 2(6.6) + 3.
Simplifying this equation, we have 5RE = 13.2 + 3, which gives us 5RE = 16.2.
To find the length of segment DE, we divide both sides of the equation by 5, giving us RE = 3.24 units.
Therefore, the value of x is 6.6 and the length of segment DE is 16.2 units.