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.
The answers to the question are are the equations
y = 0.08x²-1.6x+13
y = 0.08(x-10)²+5
<h3>How to solve for the system of equations</h3>
David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).
Vertex form of quadratic function is
y = 
13 = a(x-10)²+5
let x = 20
a(20-10)²+5
13 = 100a + 5
take like terms
13 - 5 = 100a
8 = 100a
divide through by 100
a = 0.08
hence the equation would be
y = 0.08(x-10)²+5
Read more on equations here:
brainly.com/question/9621134
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Answer:
p + 45 < 89
Step-by-step explanation:
The sum of something is the result of addition so you know that they are adding p and 45 together. They then state that p plus 45 must be less than 89. You can show that by using the less than symbol "<"
If you want to find all of the different values that P could equal then all you have to do is subtract 45 from both sides so the equation would be
p < 44
this means that p can equal anything less than 44 for this statement to be valid. Hope this helped!
Answer:

Step-by-step explanation:
You didn't give any options so:
j+j+2k=
<em>Combine like terms</em>
2j+2k