Use isometries to show that the angles of an equilateral triangle are congruent (i.e., that an equilateral triangle is equiangular).

What will be an ideal response?


Answers will vary. One possible outline uses reflecting a triangle across on edge and showing two angle pairs are congruent and therefore all three angles are congruent.

Mathematics

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Solve the problem.Select an appropriate graph of a twice-differentiable function y = f(x) that passes through the points  , , (0,0),  and (,1), and whose first two derivatives have the following sign patterns.y' : y": 

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A.

B.

C.

D.  

Mathematics

Divide.(x2 + 10x + 12) ÷ (x + 7)

A. x + 3 + 
B. x + 3 -  
C.
D. x + 4

Mathematics

Solve. Provide answers in interval notation. > 0

A. [16, ?] B. (-16, ?) C. (16, -?) D. (-?, 16)

Mathematics

Solve the equation.-5x - 2 - 2 = -4(x + 9)

A. {- 32} B. {- 36} C. {13} D. {32}

Mathematics