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andrezito [222]
3 years ago
15

Determine if the triangles are congruent, if so, state the theorem

Mathematics
2 answers:
ruslelena [56]3 years ago
4 0

Answer:

last

Step-by-step explanation:

Is Angle Angle Side bacause you have

two vertical angle ≅ (A)

two 90° angles ≅(A)

two sides given ≅ (S)

Travka [436]3 years ago
3 0
Angle-Angle-Side is the congruence theorem.
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Consider a sequence defined by the recursive rule f(1) = 15; f(n)=f(n - 1) - 6 for n 2. Choose True or
Shkiper50 [21]

Answer:

The second term of the sequence is 8  False ⇒ B

The third term of the sequence is 3  True ⇒ A

The fourth term of the sequence is -3  True ⇒ A

Step-by-step explanation:

The form of the recursive rule is:

f(1) = first term; f(n) = f(n - 1) + d, where

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  • f(n) is the nth term
  • f(n - 1) is the term before the nth term
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∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2

∴ The first term = 15

∴ d = -6

let us find the 2nd, 3rd, and 4th terms

∵ n = 2

∴ f(2) = f(1) - 6

∵ f(1) = 15

∴ f(2) = 15 - 6 = 9

∴ The second term is 9

∴ The second term of the sequence is 8  False

∵ n = 3

∴ f(3) = f(2) - 6

∵ f(2) = 9

∴ f(3) = 9 - 6 = 3

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∴ The third term of the sequence is 3 True

∵ n = 4

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∵ f(3) = 3

∴ f(4) = 3 - 6 = -3

∴ The fourth term is -3

∴ The fourth term of the sequence is -3 True

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So we would have these steps

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Often students forget to distribute the negative all the way through and would have 3x+5-x-10 as an incorrect step. You need to multiply that -1 through to each term, so that's why the distributive property is used.

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