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lisov135 [29]
3 years ago
14

Which angle is complementary to ∠X?

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

Complementary angles sum to 90°.

<u>∠X has </u><u>∠P </u><u>complementary to it as:</u>

  • P + X = 90°
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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Your weekly allowance is $25.you spent 6% of the budget on a new video game . how much did you spend on the video game ?\
QveST [7]
----------------------------------------------------------
Allowance
----------------------------------------------------------
$25

----------------------------------------------------------
Video Game
----------------------------------------------------------
6% 0f 25
= 0.06 x 25
= $1.50

----------------------------------------------------------
Answer: $1.50 were spent on video game
----------------------------------------------------------
7 0
3 years ago
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
4 years ago
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