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3 years ago

The interior angles of a hexagon are x∘,(x+1)∘,(x+2)∘,(x+3)∘,(x+4)∘, and (x+5)∘. What is x?

1 answer:

6 0

The sum of the exterior angles is 360 deg. Each interior angle is supplementary to its corresponding exterior angle, so

$(180-x)^\circ+(180-x-1)^\circ+(180-x-2)^\circ+(180-x-3)^\circ+(180-x-4)^\circ+(180-x-5)^\circ=(1065-6x)^\circ=360^\circ$

So you have

$1065-6x=360\implies 6x=705\implies x=\dfrac{235}2=117.5$

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Pls help this is pretty urgent

KIM [24]

Answer:

(a) 0

(b) f(x) = g(x)

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:

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

Substitute x = -1 to find the limit:

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

Therefore:

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

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.

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

5 0

1 year ago

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Solve linear equation 2y+20=2-y. 3y+20=2

Fiesta28 [93]

Answer:

y = -6

Step-by-step explanation:

y is multiplied by 3 and 20 is added to the sum. We undo these operations in reverse order.

First we subtract 20 from both sides of the equation:

3y = -18

Then we divide both sides of the equation by 3 to undo the multiplication.

y = -18/3 = -6

The solution is y = -6.

3 0

3 years ago

7 - 7(-8 + x) = -14 + 4x How do you solve for x

Lelu [443]

First thing you need to do is distributive property and that will give you
7-56-7x=-14+4x then combine like terms which will then give you
-49-7x=-14+4x Next get your letters on the left do that by subtracting 4x which will give you -49-11x=-14. After that you will add 49 to both sides which will give you
-11x= 35. Divide by -11 to get x=3.18

7 0

3 years ago

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What is the solution to log48x=3

andrew11 [14]

Answer:

x=483

x=110592

Step-by-step explanation:

4 0

3 years ago

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