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2 years ago

What is the value of x? 68 32 54 36

Mathematics

2 answers:

Dovator [93]2 years ago

4 0

Answer:

A) 68

Step-by-step explanation:

Use the Exterior Angle Theorem.

The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.

Set the equation. Note that you are given the exterior angle and one interior angle:

58 + x = 126

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:

x + 58 (-58) = 126 (-58)

x = 126 - 58

x = 68

A) 68 is your answer.

Lapatulllka [165]2 years ago

4 0

Answer:

x = 68°

Solving steps:

==> BAC + ABC = ACD

==> x + 58° = 126°

==> x = 68°

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Step-by-step explanation:

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3 years ago

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Answer:

(a) 0

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Step-by-step explanation:

Given rational function:

$f(x)=\dfrac{x^2+2x+1}{x^2-1}$

Part (a)

Factor the numerator and denominator of the given rational function:

$\begin{aligned} \implies f(x) & = \dfrac{x^2+2x+1}{x^2-1} \\\\& = \dfrac{(x+1)^2}{(x+1)(x-1)}\\\\& = \dfrac{x+1}{x-1}\end{aligned}$

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$\displaystyle \lim_{x \to -1}f(x)=0$

Part (b)

From part (a), we can see that the simplified function f(x) is the same as the given function g(x). Therefore, f(x) = g(x).

Part (c)

As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero). Therefore, the quotient approaches infinity.

$\displaystyle \lim_{x \to 1^+} f(x)=\dfrac{\to 2^+}{\to 0^+}=\infty$