2(sv) is the answer for the question
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
So we need to find the common multiples of 6 and 12. Which are basically the multiples of 12, since 6 is always divisible to 12. So (12, 24, 36, 48, 60, 72, 84, 96, 108) Since it is a factor of 108, we stop at 108 (since a number greater than 108 can't be a factor of 108)
Now we find the factors of 108
108=<span>1,2,3,4,6,9,12,18,27,36,54,108
The numbers in both lists are 36 and 108 but since Micah is thinking of a 2-digit number, the number she is thinking of is 36.</span>
The value of x for both angles to be vertically opposite is 27
<h3>Vertical angles</h3>
The measure of vertical angles are equal and they are angles that meet at the point of intersection of two lines.
In order to determine the value of x, we will equate both angles to have;
2x = 54
Divide both sides by 2
2x/2 = 54/2
x = 27
Hence the value of x for both angles to be vertically opposite is 27
Learn more on vertical angles here; brainly.com/question/4191966
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