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
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.
To find the value of x, we can set the expressions for the vertical angles equal to each other.
The measure of the first vertical angle is given as 9x + 3, and the measure of the second vertical angle is given as 12x - 6.
Setting them equal to each other, we have:
9x + 3 = 12x - 6
To isolate x, we can subtract 9x from both sides:
3 = 3x - 6
Next, we can add 6 to both sides:
9 = 3x
Finally, we can divide both sides by 3 to solve for x:
9/3 = x
Simplifying, we get:
3 = x
Therefore, the value of x is 3.
To find x, we can set the two given angles equal to each other.
9x + 3 = 12x - 6
Next, we can solve for x by moving the variables to one side and the constants to the other side.
Subtracting 9x from both sides, we have:
3 = 3x - 6
Adding 6 to both sides, we get:
9 = 3x
Dividing both sides by 3, we find:
x = 3
Therefore, x is equal to 3.