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omeli [17]
2 years ago
15

Line AE and line DF are parallel. If m∠ABG = 12x and m∠HCF = 11x + 9, what is m∠HCF?

Mathematics
2 answers:
SCORPION-xisa [38]2 years ago
7 0

Answer:

108 degrees

Step-by-step explanation:

vladimir2022 [97]2 years ago
3 0

Answer:

C. 108°

Step-by-step explanation:

  • ∠ABG and ∠HCF are alternate exterior angles which mean they are congruent (equal in measure)
  • So, if 12x = 11x+9, use railroad tracks to solve

12x = 11x + 9 \\-11x    -11x\\---------------------\\x = 9

  • Now substitute 9 in for x in the equation for ∠HCF

11x+9 = ∠HCF

11(9) + 9 = ∠HCF

99 + 9 = ∠HCF

108 = ∠HCF

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Answer as a mixed number = 46 & 1/4

Answer as a decimal = 46.25

===============================================

Work Shown:

9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25

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A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.

Let x be the number of servings

1 serving = 0.2 pounds

x servings = 0.2x pounds after multiplying both sides by x

0.2x pounds represents the total bag's weight so,

0.2x = 9.25

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