Write a function rule for the table. x0123f(x) 3456
1 answer:
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Answer:
The statement is false.
Step-by-step explanation:
Let a and b represent two odd integers.
The average (A) is defined by:
A=
In order to prove the statement, you have to show that it's true for all odd integers. But, to disprove it, you just have to find a counterexample where the statement is false.
Notice that it is easier to try to find a counterexample.
For example, a=3 and b=5
A=
The result of the average is even, therefore the statement is false.
The previous calculation is a counterexample.
Refer to the edited figure.
Triangles ABC and A'B'C' are similar because of AAA.
Also,
Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.
Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.
Triangles ABC and A'B'C' are similar because of AAA.
Also,
Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.
Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.