Answer:
x = 120
Step-by-step explanation:
A regular polygon means all sides and angles are equal. If a triangle has 180 degrees total, 180 / 3 = 60. That means each angle is 60 (interior angle). That is a straight line, which is 180 degrees, 180 - 60 = 120.
X=8+y
x+y=70
Rewrite the first equation to x-y=8
Copy the second equation x+y=70
Add the two equations and you get 2x=78
Therefore, x=39. Since this is the bigger number the smaller number(y) would have to be 31 because you subtract 8 from x which is 39. 39 is your answer.
The first triangle has a perimeter of 4+6+10 = 20.
The 2nd longest side is 6/20 = 3/10 of the perimeter. In the larger triangle, the 2nd longest side will have length (3/10)*60 = 18.
_____
These side lengths mean the "triangle" is a line segment. That is, it has zero area.
S = √2+√8+√18+√32+……………… n terms.
or, S = √2 + 2√2 +3√2 +4√2.+………………….+ n terms.
This is an A.P. in which a = √2. , d = √2.
Sn = n/2.[2.a +(n-1).d].
or, Sn = n/2.[ 2√2 +(n-1).√2].
or, Sn = (n/2).√2.[ 2 +n-1].
or, Sn = n.(n+1)/√2. Answer.
Step-by-step explanation:
Alternate form
0.375