An equivalent expression would be 6(8x - 5)
Angle mes BCD = (mes Arc AE-mes ARC BD)/2
Plug: mes BCD = (64+20)/2 = 44° (Number C)
an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)
the common difference is the number that must be added to a term to get the next term
let's see if it increases by the same amount
-5 to -11 is increase of -6
-11 to -17 is increase of -6
-17 to -23 is increase of -6
-23 to -29 is increase of -6
so it appears to be aritmetic
common difference is -6
-29-6=-35
-35-6=-41
-41-6=-47
the next 3 terms are -35, -41, -47
if this trapezoid is to scale, then the scale factor between the shortest and longest side is 1.5
so, that means that 1.5(2x+6) = 4x+2
so, your equation becomes 3x+9 = 4x+2
if you subtract 2 from each side, you get 3x+7 = 4x
meaning that x = 7
i hope this helps, and i'm sorry if it's wrong!! :)
P(Odd sum) = 1/2 or 50%
For two dice rolls to have an odd sum either the 1st one is even and the 2nd is odd or the 1st one is odd and the 2nd is even.
The chance for the 1st one being even is 1/2, same for 2nd being odd. So the chance that the 1st is even and the 2nd is odd is 1/2 * 1/2 = 1/4. This also applies for the 1st one being odd and the 2nd being even, so the chance that the 1st is odd and the 2nd is even is also 1/4.
So then you add these two probabilities, 1/4 + 1/4 = 1/2 which is the answer.
