Final answer:
To find the value of x in the given equation, we can use the midpoint theorem.
Step-by-step explanation:
To find the value of x, we can use the midpoint theorem which states that the midpoint of a line segment is the average of the coordinates of its endpoints. In this case, the midpoint c would have a value of 17, which is the average of 5x-6 and 0. Therefore, we can set up the equation:
(5x-6+0)/2 = 17
Simplifying the equation, we have:
5x-6 = 34
Adding 6 to both sides, we get:
5x = 40
Dividing both sides by 5, we find:
x = 8
Therefore, the value of x in this case is 8, so the correct answer is b) 8.
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