Answer:
x = 10 and BD = 74
Step-by-step explanation:
AE and CE are equal, so we can set those 2 values equal to each other to find x.
3x + 7 = 37
3x = 30
x = 10
BD will be equal to AE + CE because that is a property of the rectangle.
So AE + CE = 37 + 37 = 74.
BD = 74
Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.
Explanation
1) Simulate the counting of the bills:
number of bills counted value ones digit
1 5 5
2 5 + 5 = 10 0
3 10 + 5 = 15 5
4 15 + 5 = 20 0
5 20 + 5 = 25 5
6 25 + 5 = 30 0
2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...
If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
The length of the line segment here is 13.
Distance Formula:
√((x₂ - x₁)² + (y₂ - y₁))
√((5 - 0)² + (0 - 12)²) = 13
