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Jlenok [28]
3 years ago
12

Find the unknown angle measure by solving for the given variable

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0

A straight line is 180°. So you can do:

(15x - 4) + (5x - 8) = 180  Simplify

20x - 12 = 180

20x = 192    Find the value of x

x = 9.6

m∠ABD = 15x - 4      Plug in x = 9.6

m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

m∠DBC = 5x - 8   Plug in 9.6

m∠DBC = 5(9.6) - 8 = 48 - 8 = 40°

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If f(x) =69-15x then f(f^-1(x))
xenn [34]

If f(x)=69-15x  then f(f^{-1}(x))=x

Given :

f(x)=69-15x\\

Lets find out f^{-1}(x). The steps to find out f inverse are

Replace f(x) by y

y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}

Now we find f(f^{-1}(x))

Replace inverse function in the place of x in f(x)

f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x

Learn more :

brainly.com/question/11242094

8 0
3 years ago
2+3x34 what is the answer in unit form
S_A_V [24]

Answer:

3 x 34 = 102 + 2 = 104 is your answer just do the equation

8 0
3 years ago
F(x)=<img src="https://tex.z-dn.net/?f=%28x%2B1-%7Cx-1%7C%29%2F2" id="TexFormula1" title="(x+1-|x-1|)/2" alt="(x+1-|x-1|)/2" ali
katrin [286]

Answer:

  f(g(x))=\dfrac{|x|+1-||x|-1|}{2}

Step-by-step explanation:

The most straightforward way is direct substitution of g(x) for x in f(x):

  f(g(x))=\dfrac{|x|+1-||x|-1|}{2}

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Answer:

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6 0
3 years ago
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