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goldfiish [28.3K]
2 years ago
8

Vertical angles are congruent. Two nonadjacent angles formed by two intersecting lines are vertical angles.

Mathematics
2 answers:
Gnesinka [82]2 years ago
4 0

Answer:

A

Step-by-step explanation:

If two nonadjacent angles formed by two intersecting lines = Vertical angles= congruent

Then

Two non adjacent angles formed by two intersecting lines are congruent

igomit [66]2 years ago
4 0

Answer:

a

Step-by-step explanation:

Two non adjacent angles formed by two intersecting lines are vertical angles.

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Which number is between 8.270 and 8.280
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8.275

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8.280 - 8.270 = 0.010

0.010/2 = 0.005

8.270 + 0.005 = 8.275

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Use​ Newton's method to find an approximate solution of ln(x)=10-x. Start with x_0 =9 and find x_2 .
vova2212 [387]

Answer:

x₂ = 7.9156

Step-by-step explanation:

Given the function  ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ -  f(xₙ)/f'(xₙ)

If f(x) = ln(x)+x-10

f'(x) = 1/x + 1

f(9) = ln9+9-10

f(9) = ln9- 1

f(9) = 2.1972 - 1

f(9) = 1.1972

f'(9) = 1/9 + 1

f'(9) = 10/9

f'(9) = 1.1111

x₁ = x₀ -  f(x₀)/f'(x₀)

x₁ = 9 -  1.1972/1.1111

x₁  = 9 - 1.0775

x₁  = 7.9225

x₂ = x₁ -  f(x₁)/f'(x₁)

x₂ = 7.9225 -  f(7.9225)/f'(7.9225)

f(7.9225) = ln7.9225 + 7.9225 -10

f(7.9225) = 2.0697 + 7.9225 -10

f(7.9225) = 0.0078

f'(7.9225) = 1/7.9225 + 1

f'(7.9225) = 0.1262+1

f'(7.9225) = 1.1262

x₂ = 7.9225 - 0.0078/1.1262

x₂ = 7.9225 - 0.006926

x₂ = 7.9156

<em>Hence the approximate value of x₂ is 7.9156</em>

7 0
3 years ago
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