Answer: the polygon has 20 sides.
Step-by-step explanation:
The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.
if the sum of the measures of the interior angles is 3960
degrees. This means that
(n - 2) × 180 = 3960
Expanding the brackets by applying the distributive property, it becomes
180n - 360 = 3960
180n = 3960 - 360
180n = 3600
Dividing both sides by 180, it becomes
n = 3600/180
n = 20
(2/7)m - (1/7) = 3/14
2m/7 =(3/14) + (1/7)
2m/7 = (3/14) + 2(1/7)
here we are multiplying 2 with 1/7 to make the denominator same for addition.
2m/7 = (3/14) +(2/14)
2m/7 = (3 + 2)/14
2m/7 = 5/14
2m = (5 *7)/14
2m = 35/14
2m = 5/2
m = 5/4
m = 1.25
So the value of "m" is 1.25
Answer:
1. .900+.020+.008, 2. .700+.030+.001, 3. 4.5, 4.56, 4.565656, 4.6
Step-by-step explanation:
5≥|4-2x|
5≥4-2x≥-5
-1≤2x≤9
-0.5≤x≤4.5
x∈[-0.5;4.5]