True or false the area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then takin
g the sum of their areas
2 answers:
Answer: The answer is true.
Step-by-step explanation: The given statement is :
" The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas".
We are to check its is true or false.
In the attached figure, a regular heptagon ABCDEFG is drawn. Sine the heptagon is regular, so all its sides are equal and all its angles are also equal. So, we can break the heptagon into seven congruent triangles 1, 2, 3, 4, 5, 6 and 7 taking 'O' as the centre of the heptagon.
Finding the areas of these seven triangles and taking the sum will result in the area of the heptagon ABCDEFG.
Thus, the given statement is "TRUE".
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Answer:
- Inverse Variation
- Equation:
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
There's no need to check further as both values of k are not equal
To check for inverse variation;
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
When Y = 3/2; X = 8
When Y = 1, X = 12
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of
Substitute 12 for k
So, the equation becomes
Reorder
Hence, the equation is