Answer:
Its true
Step-by-step explanation:
Solving the algebraic equations given, the missing numbers in the boxes can be known as shown in the steps below.
Given the equation, ⅔(x - 1) = ⅕(2x - 3) + 1
First, apply the distribution property to open the bracket.
Thus:
⅔x - ⅔ = ⅖x - ⅗ + 1
⅔x - ⅔ = ⅖x + ⅖
- Subtract ⅖x from both sides
⅔x - ⅖x - ⅔ = ⅖
4/15x - ⅔ = ⅖
4/15x = ⅖ + ⅔
4/15x = 16/15
- Multiply both sides by 15/4
x = 16/15 × 15/4
x = 4
Given the equation, 3c - 3 + 2(3c + 1) = - (3c + 1)
- Open the bracket using distributive property
3c - 3 + 6c + 2 = -3c - 1
9c - 1 = -3c - 1
9c + 3c - 1 = -1
12c - 1 = -1
12c = -1 + 1
12c = 0
c = 0
Learn more about algebraic equations on:
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Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.
<h3>What is the Triangle Inequality Theorem?</h3>
The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.
Applying the triangle inequality theorem, it means the following should be true for any value of x given:
x + 2 + x + 3 > 3x - 2
2x + 5 > 3x - 2
Plug in x = 3 to find out:
2(3) + 5 > 3(3) - 2
11 > 4 (True)
Plug in x = 1 to find out:
2(1) + 5 > 3(1) - 2
8 > 2 (True)
Plug in x = 7 to find out:
2(7) + 5 > 3(7) - 2
19 > 19 (FALSE)
Therefore, the false statement is: D. x = 7.
Learn more about the triangle inequality theorem on:
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Answer:
A.) −2y + 10
Step-by-step explanation:
−x − 2y = −10
Add 2y to both sides.
-x = 2y - 10
Multiply both sides by -1.
x = -2y + 10
