See if this helps: Interior angle for a polygon = ( n-2) *180 /n for octagon this equals 135o
EXTERIOR angle for the octogon is then 180 - 135 = 45o
4x^2 + 15x + 2 .
4 (x^2 + 15/4 x) + 2 'complete the square for x'
4 (x+ 15/8)^2 + 2 - 4 * 225/64
4 ( x+ 15/8)2 - 12 1/16
Sub in x = 1
a - 6 + b -5 = 5
a+b - 16 = 0 (1)
sub in x = 2
8a - 24 + 2b -5 = -53
8a +2b +24 = 0 (2)
Two equations with two unknowns solve for a and b
mutilpy (1) by -8
-8a-8b+128 = 0 add to (2)
-6b +152 = 0
b = 25 1/3 a= - 9 1/3
I think your equations are incorrect.
There are two pints per quart
3 q * 2 p/qt = 6 pints needed
6 pint /1.5 pint/container = 4 containers
The two boys can stand next to each other in 8 ways in the line of 5
then fill the other three slots with the girls 3 x 2 x 1
8 x 3 x 2 x 1 = 48 ways
f = 9s
in three years
f+3 = 6 (s+3) sub in the red equation
9s + 3 = 6s + 18
3s = 15
s = 5 y/o
Parallelogram Law Sum of squares of four sides = sum of squares of diagonals ( Thanx, Chris!)
30^2 + 20^2 + 30^2 + 20^2 = 40^2 + x ^2 x = sqrt 1000 you can simplify from here !.....
Their rates per job are 1job/ 3 hours 1/4 and 1/8
combining their rates for the one job:
1 job / ( 1/3 + 1/4 + 1/8) = _______ hours ( multiply this answer by 60 to get 'minutes')
30 cans 40 percent are Pepsi = 12 cans
12 cans are 75% of what ?
.75 x = 12
x = 16 cans are left in the fridge 30-16 = 14 cans of Coke were consumed by ' Diabetes Noah' !
