Use the image above to identify and explain the relationship between the segments and circles a and b. in your explanation, be sure to include specific vocabulary and definitions for the relationships.
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Step-by-step explanation:

From the given figure, it can be seen that there are two circles with centers A and B respectively. The circle with the center A is larger in size than the circle with center B. Points P, Q and E lie on the surface of the circle having center A and R, S, C and T points lie on the circle having center B.

One tangent passes from the point  Q of the one circle to the point T of the another circle and the other tangent passes from point R of the smaller circle to the point E of the larger circle. These two tangents intersects each other outside both the circle. There is another tangent which passes from the point C of the smaller circle to a point D lying outside the circle.

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.