Hello from MrBillDoesMath!
Answer:
x = 11
Discussion:
Line KHF has 180 degrees so
(11x + 4) + angle GHF = 180 =>
angle GHF = 180 - (11x + 4) =>
angle GHF = 176 - 11x (*)
Triangle GHF has 180 degrees =>
60 + (6x-1) + angle GHF = 180
Substituting the value of angle GHF from (*) above gives
60 + (6x -1) + (176 -11x) = 180 =>
(60 + 176 -1) + (6x - 11x) = 180 =>
(235) + ( -5x ) = 180 => subtract 235 from both sides
-5x = 180 - 235 =>
-5x = -55 => divide both sides by 5
x = 55/5 = 11
Thank you,
MrB
The rise is the vertical distance between the two points, which is the difference between their y-coordinates. That makes the rise y2 − y1. The run between these two points is the difference in the x-coordinates, or x2 − x1.
Answer:
E(X) = 17.4
Step-by-step explanation:
We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:
E(X) = ∑xp(x) where x are the specific values of x and p(x) the probability associated with this x value.
In this way the expexted value is
E(X) = ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 = 17.4
Answer:
x<8
Step-by-step explanation:
divide each term by -8 and simplify
