Use the drawing provided to explain why the following theorem is true.“The tangent segments to a circle from an external point are congruent.”Given: and are tangent to Prove: [Hint: Use auxiliary line segment .]

What will be an ideal response?


Draw . Now and because the measure of an angle formed by a tangent and chord at the point of contact is one-half the measure of the intercepted arc.

Then by substitution, so . Then because these sides lie opposite the congruent angles of .


Mathematics

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Sketch by hand the graph of the function. Give the coordinates for the vertex.-3.8y - 6.6x = 7.7x2 - 1.2

A. vertex: (0.45, -0.65)

B. vertex: (-0.6, 1.25)

C. vertex: (-1.2, -1.55)

D. vertex: (-0.43, 0.69)

Mathematics

Add or subtract. Write the answer in lowest terms. - 

A.
B.
C.
D.

Mathematics

For the given functions f and g, find the requested composite function.f(x) = , g(x) = ;Find (f ? g)(x).

A.
B.
C.
D.

Mathematics

A cubic centimeter (cc) is the amount of space that a volume of 1 ml occupies. Because of this, we say that 1 cc = 1 ml. A common syringe is one with a capacity of 3 cc. Use the diagram below to find the indicated measurement.B

A. 0.12 cc B. 0.012 cc C. 12 cc D. 1.2 cc

Mathematics