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.
Answer:
Step-by-step explanation:
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
Okay so let’s start with number one you have 2 out of the 3 sides and you have to solve for the third
Let’s call the side you are looking for side A than the side with 13 side B and the side with 29 side C
So
B=13
C=29
A= ?
You would use the equation
A^2 + B^2 = C^2
So
A^2 + (13)^2 = (29)^2
13^2 = 169
29^2 = 841
So
A^2 + 169 = 841
A^2 = 672
A= 4 times the square root of 42
Or if yu need a estimated answer
A= 25.9

Let
. Then

Similarly, if
, then

So

Alternatively, you can consider the larger expression

Expanding each binomial product gives

Then if
, we get
