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Kitty [74]
2 years ago
5

Please help worth a lot of points !!! Find the measure of show your work

Mathematics
1 answer:
VashaNatasha [74]2 years ago
6 0

Answer:

<u>∠AEB = 72°</u>

Step-by-step explanation:

<u>Finding x</u>

  • ∠AEB = ∠DEC (Vertically opposite angles)
  • 7x - 5 = 2(4x - 8)
  • 7x - 5 = 8x - 16
  • 8x - 7x = -5 + 16
  • x = 11

<u>Finding ∠AEB</u>

  • 7x - 5
  • 7(11) - 5
  • 77 - 5
  • <u>∠AEB = 72°</u>
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Step-by-step explanation:

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Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vec
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Answer:

(2,6,6) \not \in \text{Span}(u,v)

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Step-by-step explanation:

Let b=(b_1,b_2,b_3) \in \mathbb{R}^3. We have that b\in \text{Span}\{u,v\} if and only if we can find scalars \alpha,\beta \in \mathbb{R} such that \alpha u + \beta v = b. This can be translated to the following equations:

1. -\alpha + 3 \beta = b_1

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Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for \alpha,\beta and check if the third equationd is fulfilled.

Case (2,6,6)

Using equations 1 and 2 we get

-\alpha + 3 \beta = 2

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Case (-9,-2,5)

Using equations 1 and 2 we get

-\alpha + 3 \beta = -9

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3 years ago
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