Supply missing reasons for the following proof.Given: with diameter Prove: S1. with diameter R1.S2. Draw radius R2.S3. R3.S4. R4.S5. R5.S6. R6.S7. or R7.S8. R8.S9. But R9.S10. Then R10.

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R1. GivenR2. Through 2 points, there is exactly one line.R3. IdentityR4. If 2 sides of a triangle are congruent, then the opposite angles are also congruent.R5. Definition of congruent anglesR6. The measure of an exterior angle of a triangle is equal to the sum of measures of thetwo nonadjacent interior angles.R7. Substitution Property of EqualityR8. Multiplication (or Division) Property of EqualityR9. In a circle, the degree measure of a central angle is equal to the degree measure of itsintercepted arc.R10. Substitution Property of Equality

Mathematics

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Add or subtract and write answer in lowest terms.15 - 6

A. 8
B. 9
C. 7
D. 8

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Find the volume of the indicated region.The region that lies under the plane   and over the triangle with vertices at , and 

A. 16
B.
C.
D. 12

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Graph the solution set of the system of inequalities.x + 4y ? -12x > -3y ? 6

A.

B.

C.

D.

Mathematics

Rationalize the denominator of the expression. Assume that all variables represent positive real numbers.

A.
B.
C. 1
D.

Mathematics