Answer:
8 sides
Step-by-step explanation:
let x be the exterior angle then 3x is the interior angle
interior angle + exterior angle = 180° , then
x + 3x = 180
4x = 180 ( divide both sides by 4 )
x = 45
the sum of the exterior angles of a polygon = 360°
since the polygon is regular with each exterior angle = 45°, then
number of sides = 360° ÷ 45° = 8
Rx + h = sx - k Take all with x to the LHS
Rx - sx = -k - h
x(R - s) = - k -h
x = (-k - h) / (R - s). Multiply top and bottom by -1.
x = (k + h) / (s - R)
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
It means the same used in a question like this, is 25 as much as 25.
