If the angles of a convex octagon are
then the smallest angle is 21°.
Given The exterior angles of convex octagon are 
and we have to find the value of smallest angle.
The sum of the angles of a convex octagon is 360°
so to calculate the smallest angle we need to find out the value of x first and which is calculated by summing up all the exterior angles and put them equal to 360.
(2x+6)+(x+13)+(2x-1)+(2x+12)+(2x-17)+(3x-4)+(3x-10)+4x=360
2x+6+x+13+2x-1+2x+12+2x-17+3x-4+3x-10+4x=360
2x+x+2x+2x+2x+3x+3x+4x+6+13-1+12-17-4-10=360
19x-1=360
19x=360+1
19x=361
x=361/19
x=19
Putting the value of x in all the angles and we will find the following:
2x+6=2*19+6=44
x+13=19+13=32
2x-1=2*19-1=37
2x+12=2*19+12=50
2x-17=2*19-17=21
3x-4=3*19-4=51
3x-10=3*19-10=47
4x=4*19=76
Hence among all the exterior angles the smallest angle is 21°.
Learn more about angles at brainly.com/question/25716982
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There are total 4 outcomes
We can get:
Head, Head
Head, Tail
Tail, Head
Tail, Tail
So, tossing 2 coins, result in 4 possible outcomes which make the sample space.
So correct answer is option B
Answer:105.00
A = $105.00
I = A - P = $5.00
Equation:
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 0.5%/100 = 0.005 per year.
Solving our equation:
A = 100(1 + (0.005 × 10)) = 105
A = $105.00
The total amount accrued, principal plus interest, from simple interest on a principal of $100.00 at a rate of 0.5% per year for 10 years is $105.00.
Answer:
4800
Step-by-step explanation:
Given the function
y = 75 × 
x is the number of 15 year periods
45 years has 3 15 year periods , thus x = 3
Substitute x = 3 into the function and solve for y
y = 75 × 4³ = 75 × 64 = 4800
There will be 4800 foxes after 45 years