Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Determine whether one triangle can be constructed, two or more noncongruent triangles can be constructed, or no triangle can be constructed.A triangle with angles of 30° and 62°.

A. Exactly one triangle can be constructed.
B. Two or more noncongruent triangles can be constructed.
C. No triangle can be constructed.


Answer: B

Mathematics

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Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded by the line y = 2, by the line y = , and by the y-axis, about the line y = 2.

A. ?
B. ?
C. ?
D. ?

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Use the definition of inverses to determine whether f and g are inverses.f(x) = 2x - 4, g(x) = 

A. Yes B. No

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Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = -x2 + 6x

A. vertex (3, 9)
intercepts (0, 0), (6, 0)
 
B. vertex (-3, -9)
intercept (0, -18)

C. vertex (3, -9)
intercept (0, -18)
 
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intercepts (0, 0), (- 6, 0)
 

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Solve the problem.Barry Newman's savings account has a balance of $3141. After 3 years, what will the amount of interest be at 6% compounded annually?

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Mathematics