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kirill115 [55]
2 years ago
13

Angle BAC measures 56°.

Mathematics
2 answers:
blondinia [14]2 years ago
6 0

Answer:56

Step-by-step explanation:Angle BAC is congru to angle BDC due to the fact that both angles are on the same arc

wel2 years ago
5 0

Answer:

56

Step-by-step explanation:

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Change 3/4 to sixteenths=​
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3/4 = 12/16

Step-by-step explanation:

3/4 x 4/4 = 12/16

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What is 115÷5 using distributive properties
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115 ÷ 5 = 23

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115 ÷ 5

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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
sveticcg [70]

Answer:

  •    Part 1: 25x ≥ 600
  •    Part 2: 15y ≥ 600
  •    Part 3: y ≤ 40

Explanation:

Verbal statements must be translated into algebraic expressions, equations or inequalities.

<u>1. Money earned by Jamie washing cars for $25 each</u>

   Let x represent the number of cars Jaime washes.

  •    25x

<u>2. Money earned by Stella  making pecan pies for $15 each</u>

   Let y represent the number of pies she makes

  •    15y

<u>3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies</u>.

Write an inequality using the symbol ≤, since y can take any integer value up to 40.

  •    y ≤ 40

4. First question:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip

  •    25x ≥ 600

5. Second question:

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

  •    15y ≥ 600

6. Third question

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

From step # 3

  •    y ≤ 40

7. Conclusion

You can solve the inequalities fo find whether Stella can or not afford the trip:

Solve for the inequalities that represent Stella's situation:

  •  15y ≥ 600
  •    y ≥ 600 / 15
  •    y ≥ 40
  •    From step 6: y ≤ 40

The solution set is the intersection of the two solutions:

  • y ≥ 40 ∩ y ≤ = 40 = 40.

  • Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.

6 0
3 years ago
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