<u>I'm very sorry but i don't know the answer to this queshtion</u>
Answer:
Step-by-step explanation:
Sum of interior angle of any polygon = 180* (n- 2 )
Here, n= number of sides
Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°
In regular octagon, all the angles are congruent,
So, measure of an interior angle of regular octagon = 1080/8 = 135°
Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°
In regular hexagon, all the angles are congruent,
So, measure of an interior angle of regular hexagon = 720/6 = 120°
The measure of an interior angle of a regular octagon is greater than the measure of an interior angle of a regular hexagon by 15°
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
Answer; $1
Explanation 3 divided by 3
Answer:
45
Step-by-step explanation:
KL- because triangle is a isosceles
(base angles are congruent)
