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3 years ago

Please help Write an equation and solve for x

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

6 0

The answer for this Q or math problem is 81

matrenka [14]3 years ago

5 0

Answer:

x = 81

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 23 + 58 = 81

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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.

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

3 years ago

The diameter of an insect cell is 1.7 × 10–11 meter. Ariel wants to find the length of the radius of the cell. If she performs t

Juli2301 [7.4K]

Answer:

8.5E-12

Step-by-step explanation:

According to the Question,

Given That, The diameter of an insect cell is 1.7 × 10^-11 meters.

Ariel wants to find the length of the radius of the cell. Radius Is Half of the Diameter.

Thus, R = D/2 ⇒ (1.7*10^-11)/2 = 0.85× 10^-11
If she performs the calculations on her calculator is 8.5E-12.

6 0

2 years ago

Martha Washington walks 30 minutes each day. If she walks for 140 days, how many hours will she walk?

telo118 [61]

make 30 minutes into an hour then divide 140 by 2

140/2=70

70x1=70

5 0

2 years ago

Is (4,9) a solution to the equation 3(x+2) = y ?

Mrac [35]

Answer:

(4, 9) is not a solution to 3(x + 2) = y.

Step-by-step explanation:

3(x + 2) = y

Substitute (4, 9) into the equation.

3(4 + 2) = 9

Add the inside of the parenthesis.

3(6) = 9

Multiply.

18 ≠ 9

8 0

3 years ago

Read 2 more answers

50 PTS MANY POINTS

kari74 [83]

Answer:

B. 1,900

Step-by-step explanation:

3 0

3 years ago