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:
First Question = 16 Second Question = 8
Step-by-step explanation:
First one
32+48=x(2+3)
80=5x
Divide each sides with 5 and you have x=16
Second one
32+48=4(x+12)
80=4x+48
subtract 48 from 48 and 80 and you have 32=4x.
Divide it with 4 both side and you have x=8
Answer:
10.6 cm to the nearest tenth.
Step-by-step explanation:
If we let one side = x. So as each side of a square are equal, and using Pythagoras we have:
x^2 + x^2 = 15^2
2x^2 = 225
x^2 = 112.5
x = √112.5
x = 10.61.
Too many questions to be typed out ... I did it on the paper instead.
All -1.8
In addition and subtraction the order of the numbers does not matter, so the result will always remain the same