Step-by-step explanation:
Right angle = 90°
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90, x = 29.
Supplementary angles = Angles that add up to 180°.
x + (x + 104) = 180
2x = 76, x = 38.
Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation

As
so the standard deviation can be calculated as:
standard deviation 


Therefore, the standard deviation will be: 2.1
The answer for number 3 is 3.c
<u>Answer</u>
748.23 in²
<u>Explanation</u>
Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.
The base of the hexagon = 101.8 ÷ 6
= 19.96666..
= 19.9667 inches
Area of the hexagon = 1/2 × height × base length × 6
= 1/2 × 14.7 × 19.9667 × 6
= 748.23 in²