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4 years ago

Please help me with this question, image attached.

Mathematics

2 answers:

zaharov [31]3 years ago

7 0

Answer:

<3 = 110

Step-by-step explanation:

The angles are consecutive interior angles. They add up to 180 degrees when the lines are parallel.

<3 + <8 = 180

<3 + 70 =180

Subtract 70 from each side

<3 +70-70=180-70

<3 = 110

Lorico [155]4 years ago

5 0

Answer:

110 degrees.

Step-by-step explanation:

Angles 2 and 3 are supplementary, and angles 8 and 7 are supplementary.

Angles 3 and 7 are equal.

If angle 8 is equal to 70 degrees, angle 3 is equal to 110.

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Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

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$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

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Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

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Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

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2 years ago

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AnnyKZ [126]

Answer: 7°

Explanation:

FBD = EBC
2x + 3 = 9x - 11
-7x = -14
x = -14/-7
x = 2

EBC = 9(2) - 11 = 18 - 11 = 7°

7 0

3 years ago

Read 2 more answers