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MAVERICK [17]
3 years ago
5

Provide a counterexample to the statement.

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

  acute triangle, obtuse triangle

Step-by-step explanation:

The sums of interior angles of all triangles are 180°, but the triangles are only similar if their corresponding angles are congruent.

An acute triangle and an obtuse triangle both have angle sums of 180°, but can never be similar to one another.

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3 years ago
Given a rectangle with a perimeter of 24 inches, why dimensions maximize the area?
Pepsi [2]

Answer:

The dimensions are 6 by 6

Step-by-step explanation:

Calculus answer:

2x +2y= 24

xy= A

2x=24-2y

x=12-y

(12-y)(y)= 12y- y^2

the Derivative is = 12-2y

Then set that equal to zero 0=12-2y

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Confirm that 6 is a maximum by using a wiggle graph

wiggle graph -∞<---inc--6---dec-->∞

6 is a maximum

plug into original equation

2x + 2(6)=24

2x+12=24

2x=12

x=6

----------------------------------------------------------------------------------------------------

y=6

x=6


     



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Answer:

Step-by-step explanation:

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