Mod 8, the sequence repeats after 12 terms:
1 3 4 7 3 2 5 7 4 3 7 2
Thus the 100th term, mod 8, will be the 4th term of this sequence: 7
Explanation:
Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.
If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.
Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.
In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.
Answer:
2√10
Step-by-step explanation:
√40 = √(4*10) = √4 * √10 = 2√10
