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KatRina [158]
3 years ago
9

Choose the graph below that represents the following system of inequalities:

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

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Answer:

  • Part 2 - ∠EGF = 105°
  • Part 3 - ∠D = 65
<h3>________________________________________________</h3>

Step-by-step explanation for Part-2:

<u>We know that:</u>

  • ∠EFG = 32°
  • ∠AEG = 137°
  • ∠EFG + ∠FGE + ∠GEF = 180°

<u>Work:</u>

  • ∠EFG + ∠FGE + ∠GEF = 180°
  • 32 + ∠FGE + (180 - 137) = 180°
  • => 32 + ∠FGE + 43 = 180°
  • => 75 + ∠FGE = 180°
  • => ∠FGE = 180 - 75
  • => ∠FGE = ∠EGF = 105°

Hence, the measure of ∠EGF is 105°.

<h3>________________________________________________</h3>

Step-by-step explanation for Part-3:

<u>We know that:</u>

  • CD = CA
  • This triangle is an isosceles triangle.
  • ∠D = ∠A

<u>Work:</u>

  • 50 + ∠D + ∠A = 180
  • => ∠D + ∠D = 130
  • => 2∠D = 130
  • => ∠D = 130/2
  • => ∠D = 65

Hence, the measure of ∠D is 65°

<h3>________________________________________________</h3>
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