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a. Two concentric circles have radii of 6 mm and 12 mm. A segment tangent to...

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Basic Math

a. Two concentric circles have radii of 6 mm and 12 mm. Asegment tangent to the smaller circle is a chord of the largercircle. What is the length of the segment to the nearest tenth?

b. A student inscribes an angle inside a semicircle to form atriangle. The measures of the angles that are not the vertex of theinscribed angle are x and 2x-9. Find the measures of all threeangles of the triangle. Explain how you got your answer.

c. Two circles in the coordinate plane with congruent radiiintersect in exactly two points. Why is it not possible for thesecircles to be concentric?

d. A gardener wants the three rosebushes in her garden to bewatered by a rotating water sprinkler. To help her, you draw adiagram of the garden using a grid in which each unit represents 1foot. The rosebushes are at points (1, 3), (5, 11), and (11, 4).She wants to position the sprinkler at a point equidistant fromeach rosebush . Where would you recommend placing the sprinkler?What equation describes the boundary of the circular region thatthe sprinkler will cover?

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