Theorem: A line parallel to one side of a triangle divides the other two proportionately.
1 answer:
Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;
Therefore;
Which gives;
Similarly, given that EF is parallel to AB, we get;
Therefore;
Which gives;
Therefore, the statement that can be proved using the given theorem is segment BF = 16.
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Answer:
1) {4, 5, 9, 16, 26, 39}
2) {3, 4, 8, 15, 25, 38}
3) {3, 4, 8, 15, 25, 38}
Step-by-step explanation:
Hi!
Let's call the sequence {x₁, x₂, x₃, etc}
The information you have is the difference between to consecutive terms:
1) Data: x₁=4, then to get x₂ you sum 1, and get x₂=5. Then to get x₃ you sum 4, and get x₃=9, and so on. Result: {4, 5, 9, 16, 26, 39}
2) Data: x₁ + x₂ = 7. You know that x₂ = x₁ + 1. Then:
If you continue the same process as in 1), you get {3, 4, 8, 15, 25, 38}
3) Data: x₅ = 25. If you look at the result in 2), you see that x₅ = 25 there!
So the sequence in this case is the same as before {3, 4, 8, 15, 25, 38}