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A+B+C+C=180
A=2C+B
B=2C-25
2C+B=A

User Teressa
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Answer:

AI-generated answer

To find the values of A, B, and C in the given equations, we can start by substituting the values of A and B in terms of C into the equation A + B + C + C = 180.

1. Given: A + B + C + C = 180

Substituting A = 2C + B and B = 2C - 25 into the equation:

(2C + B) + (2C - 25) + C + C = 180

Simplifying the equation:

5C - 25 + 2C + 2C = 180

Combining like terms:

9C - 25 = 180

2. Now, let's solve for C.

Adding 25 to both sides of the equation:

9C = 180 + 25

9C = 205

Dividing both sides of the equation by 9:

C = 205 / 9

Simplifying the fraction:

C ≈ 22.78

3. Next, let's find the values of A and B using the given equations.

Substituting the value of C back into the equation B = 2C - 25:

B = 2(22.78) - 25

Calculating:

B ≈ 45.56 - 25

B ≈ 20.56

Substituting the value of C into the equation A = 2C + B:

A = 2(22.78) + 20.56

Calculating:

A ≈ 45.56 + 20.56

A ≈ 66.12

4. Finally, let's check if the equation 2C + B = A holds true.

Substituting the values of A, B, and C into the equation:

2(22.78) + 20.56 = 66.12

Calculating:

45.56 + 20.56 = 66.12

66.12 = 66.12

Since both sides of the equation are equal, the equation 2C + B = A is satisfied.

Therefore, the values of A, B, and C are approximately:

A ≈ 66.12

B ≈ 20.56

C ≈ 22.78

Explanation:

User Cinatic
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