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jeka57 [31]
3 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
Simora [160]3 years ago
6 0
We are given the information that angle one = equal to angle two = angle three
So, if angle one is 60 degrees, then angle three must be 60 degrees
This is because angle one is equal to angle three
So, whatever value angle one is, angle three will always be that value because they are equal to each other

Therefor,e your answer is option a
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Not rounded it would be 12.56637

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Which function is the inverse of f(x) = 2x + 3?
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Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of
ser-zykov [4K]

Answer: graph E.


A geometric sequence can be written as:

a_{n} = a_{1} \cdot r^{(n - 1)}

where:

a₁ = first term = 4

r = ratio = 0.5


Substituting the numbers, we have:

a_{n} = 4 \cdot (\frac{1}{2})^{n-1}

or else

f(x) = 4 \cdot (\frac{1}{2})^{x - 1}


This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).


In order to choose between graph B and E, let's evaluate the function in two different points:

f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4

f(2) = 4 \cdot (\frac{1}{2})^{2 - 1} = 4 \cdot \frac{1}{2} = 2


Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.




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3 years ago
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Fill in the blank to complete the calculation using the distributive property.
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