Answer:
The answer is 5 triangles.
Step-by-step explanation:
A heptagon is a seven sided polygon.
So, the number of triangles that can be drawn from 1 vertex in any polygon with n sides, is given by : .
Therefore, in a heptagon, we can draw triangles.
The sum of the interior angles of a heptagon is 900 degrees. We can check this by taking the total interior angle sum of 5 triangles.
Sum of internal angle of triangles is = 180 degrees.
So, sum of 5 triangles will be = degrees.
This proves, a heptagon can have 5 triangles.
Answer:
A
Step-by-step explanation:
We know that the growth of a linear function will always be constant. So, that eliminates B and C.
A quadratic function can be a function such as , or
, etc.
An exponential function wouldn't be , it would be
! Or
, or
, etc. Therefore, D is eliminated.
So, the answer is and we're done!
Answer:
The absolute error of the measurement is 0.25 inches
Step-by-step explanation:
we know that
The absolute error of a measurement is equal to one half the unit of measure.
In this problem we have
7.5 inches
The measurement is given by 0.5 inches
So
the absolute error of this measurement is
Therefore
the exact measurement could be between
7.5 (+/-) 0.25 in
That is, between 7.25 in and 7.75 in
Answer:
x = 3 ± i
Step-by-step explanation:
Given
x² - 6x + 12 = 0 ( subtract 12 from both sides )
x² - 6x = - 12
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 12 + 9
(x - 3)² = - 3 ( take the square root of both sides )
x - 3 = ± = ± i
( add 3 to both sides )
x = 3 ± i