Complete the following proof by dragging and dropping the correct reason in the spaces bellow
1 answer:
Given:
Q is between P and R, R is between Q and S, .
To prove:
Solution:
The two column proof is:
Statements Reasons
1. Q is between P and R 1. Given
2. 2. Segment addition postulate
3. R is between Q and S 3. Given
4. 4. Segment addition postulate
5. 5. Given
6. 6. Substituting property of equality
7. 7. Subtraction property of equality
8. 8. Simplify
Hence proved.
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Answer:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
Step-by-step explanation:
From the given graph, it is clear that the two lines meet at the point (3, 2).
In other words,
- at x =3, y = 2
Thus,
The point of intersection between two lines is:
(x, y) = (3, 2)
Here:
x = 3 is the value of the x-coordinate
y = 2 is the value of the y-coordinate
Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.
Subtract 1 from both sides
Simplify
subtract 2x from both sides
Simplify
Multiply both sides by 5
Simplify
Divide both sides by -5
Simplify
Therefore, the value of x = 3
Conclusion:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.