Provide an appropriate response.A trigonometry student makes the statement, "If we know any two sides and one angle of a triangle, then the triangle is uniquely determined." Is this a valid statement? Explain, referring to the congruence axioms.

What will be an ideal response?


The triangle is uniquely determined only if the given angle is included between the two given sides.

Mathematics

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Determine the missing numbers in each of the following Fibonacci-type sequences

(a) 1, 4, 5, 9,_______________ ,_______________,_______________ , (b) 2, _______________,6,_______________ , 16,_______________ (c) 3,_______________ ,_______________ ,_______________ , 27 (d) 3, 7, 10, 17, 27

Mathematics

Solve the problem.The table shows the monthly revenue (in millions) for a software company for the first nine months of a recent year. Find the mode of the monthly revenues. 

A. $19.5 million B. $18.5 million C. $18.95 million D. $19.4 million

Mathematics

Estimate the interval(s) on which the function is increasing and decreasing.f(x) = 2 - 3x2

A. increasing on (?, 0); decreasing on (0, -?) B. increasing on (0, ?); decreasing on (-?, 0) C. increasing on (-?, 0); decreasing on (-?, 0) D. increasing on (-?, 0); decreasing on (0, ?)

Mathematics

Rationalize the denominator. Assume variables represent non-negative values.

A. 20
B. 11
C.  
D.  

Mathematics