This is a lot of calculation.
So we know that the sum of angles for any heptagon is 900, because heptagon can be divided into five non-overlapping triangles and sum of angles of each triangle is 180.
Now you just add up all angles and simplify the equation:
900 = (6x - 8) + 120 + (7x - 64) + (5x - 4) + 135 + (3x + 31) + (4x + 15)
900 = <span>25x + 225
Now it's just regular algebra equation. You can solve for x:
675 = 25x
x = </span>27
So the value of x is 27
Answer:
median = 17.5
Step-by-step explanation:
The median is the middle value of a data set arranged in ascending order. If there is not a middle value then the median is the average value of the numbers either side of the middle.
Data in ascending order is
8, 15, 17, 18, 19, 21
The median is between 17 and 18, hence
median = = 17.5
Answer:
2.22
Step-by-step explanation:
To get 2 2/9 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 2 2/9 mixed number to decimal form:
Step 1: Multiply the whole number by the denominator:
2 × 9 = 18
Step 2: Add the product you got in Step 1 to the numerator:
18 + 2 = 20
Step 3: Divide the sum from Step 2 by the denominator:
20 ÷ 9 = 2.222222
That's it! The answer to 2 2/9 in decimal form is displayed below:
2 2/9 ≈ 2.22
The answer is 6 degree.
Step by step process
The formula for calculating the measure of each exterior angle of a polygon is (360/n).
The number of sides of 56-gon(n) = 56.
So, each exterior angle
= (360/56)
= 6.43 or
6(approximately)