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MariettaO [177]
3 years ago
15

What is the value of angle k

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:∠k = 121°

Step-by-step

Exterior Angle Theorem:

The measure of an exterior angle is equal to the sum of the two remote interior angles.

Add 31° and 90° to get ∠K

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Answer:

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Step-by-step explanation:

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3 0
4 years ago
Read 2 more answers
Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,
Vaselesa [24]

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

4 0
3 years ago
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