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Sergeu [11.5K]
3 years ago
7

Find the values of x and y

Mathematics
2 answers:
andre [41]3 years ago
7 0
The first one is x=15
pantera1 [17]3 years ago
6 0

Answer:

x = 15°

y = 59°

Step-by-step explanation:

Angles at a right angle add up to 90°

41 + y = 90

y = 90 - 41

y = 59°

Angles in a triangle add up to 180°

41 + (2x - 9) + 7x + 13 = 180

41 + 13 - 9 + 2x + 7x = 180

45 + 9x = 180

9x = 180 - 45

9x = 135

x = 135/9

x = 15°

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8 0
2 years ago
Find m angle f to the nearest degree
dimaraw [331]

Answer:

∠F ≈ 53°

General Formulas and Concepts:

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse
  • sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

<u>Step 1: Define</u>

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

<u>Step 2: Find m∠F</u>

  1. Substitute:                    sin∠F = 8/10
  2. Simplify:                        sin∠F = 4/5
  3. Take sin inverse:          ∠F = sin⁻¹(4/5)
  4. Evaluate:                       ∠F = 53.1301°
  5. Round:                           ∠F ≈ 53°
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3 years ago
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