Question
The measure of two verticle angles are 9x + 3 and 12x - 6. Find x.(1 point)
Responses
3
3
8.7
8.7
9.5
9.5
12
Responses
3
3
8.7
8.7
9.5
9.5
12
Answers
GPT 3.5
To find the value of x, we can set the measure of the two vertical angles equal to each other:
9x + 3 = 12x - 6
Next, we can solve for x by subtracting 9x from both sides and adding 6 to both sides:
9x - 9x + 3 + 6 = 12x - 9x - 6 + 6
9 = 3x
Finally, dividing both sides by 3, we find:
9/3 = 3x/3
3 = x
So x = 3.
Therefore, the value of x is 3.
9x + 3 = 12x - 6
Next, we can solve for x by subtracting 9x from both sides and adding 6 to both sides:
9x - 9x + 3 + 6 = 12x - 9x - 6 + 6
9 = 3x
Finally, dividing both sides by 3, we find:
9/3 = 3x/3
3 = x
So x = 3.
Therefore, the value of x is 3.