11.28 cm is the answer to this problem.
Explanation:
The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.
More formally, if V is the common vertex, and ...
- R is a point on one of the rays forming Angle 1
- S is a point on the ray that is the opposite of ray VR
- T is a point on the other ray forming Angle 1
- U is a point on the ray that is the opposite of ray VT
Then angle RVT and angle SVU are vertical angles.
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Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.
If the above conditions cannot be met, then the angles are not vertical angles.
X=29
X=53
I tried, I think it's right.
Well to solve for r, what you would need to do is make up an equation based on the expressions that represent the segments of the line in the image.
JK represents the first aspect of the line and is equal to 6r.
Likewise, KL represents the second component of the line and is equal to 3r.
We also know the total value from the first point to the last one, and that is 27.
Now simply add the first 2 expressions that represent the segments of the line and make it equal to the total length of the line, 27 and then solve for r.
6r + 3r = 27
9r = 27
r = 27/9
r = 3.
So now we know that JK is 6 • 3 = 18 and KL is 3 • 3 = 9, thus adding both together will give a value of 27, 18 + 9 = 27.
The solution is C.3
