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murzikaleks [220]
3 years ago
8

The measure of angle J is 120⁰ and is vertical to the measure of angle K. If the measure of angle K is x , what is the value of

x ?
Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

Answer:

x=120

Step-by-step explanation:

a vertical angle is equal to each other so if angle J is 120° the so is angle K

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2-4n/3
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Answer:

(n- 2/3)²

Step-by-step explanation:

  • <em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>

We have:

  • n² - 4n/3

It can be put as:

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Here we consider n = a and -2/3 = b, then

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Now we add 4/9 to a given binomial to make it perfect square:

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So, added 4/9 and got a perfect square (n- 2/3)²

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What is the inverse of the function f(x) = 8x+1
Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1        

<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

8y = x - 1

\frac{8y}{8}=\frac{x-1}{8}        Divide both sides by 8 and simplify

y=\frac{x-1}{8}                  Inverse equation

y=\frac{1}{8}x-\frac{1}{8}             Slope-intercept form

<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

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