None of the given options in the question are true. Not all acute, scalene or equilateral triangles are the other types. They have distinct characteristic which defines them.
The subject matter of this question is about the different types of triangles, namely acute triangles, scalene triangles, and equilateral triangles.
An acute triangle is a triangle in which all three angles are less than 90 degrees. A scalene triangle is a triangle where all sides and angles are different. An equilateral triangle is a triangle where all sides and angles are equal, with each angle being 60 degrees.
Looking at these definitions, we can see that none of the given options are true. Not all acute triangles are scalene (they can be isosceles or equilateral), not all scalene triangles are acute (they can be obtuse or right), not all acute triangles are equilateral (they can be scalene or isosceles), and not all equilateral triangles are acute (they are, by definition, always acute).
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In the aerobics classes of 4 will the cost for members and nonmember be the same.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class.
And, Nonmembers pay $6 for each aerobic class.
Now,
We can formulate;
For members, the cost = $8 + 4x
Where, x is the aerobic class.
For nonmembers;
The cost = 6x
We can equate both the equation, we get;
6x = 8 + 4x
Solve for x as;
6x - 4x = 8
2x = 8
x = 4
Thus, In the aerobics classes of 4 will the cost for members and nonmember be the same.
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The perimeter of the triangle ΔADE will be 30 units.
Let the triangle be ABC.
Then the perimeter of the triangle will be
Perimeter = AB + BC + CA
AC and BD are perpendicular bisectors of each other.
The diagram is shown below.
P = AD + DE + EA
P = 13 + 12 + 5
P = 30 units
More about the perimeter of a triangle link is given below.
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THE CORRECT ANSWER IS 30.
AC and BD are perpendicular bisectors of each other.
=> ABCD is rhombus.
AD = 13
AE = √(13^2 - 12^2) = 5