Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
The answer is C (((()))))
3x+3y=27
x-3y= -11
-x-y=-9
x-3y=-11
-4y= -20
y= 5
x-3•5= -11
x=4
(x,y)= (4,5)
Answer:
First space = 10
second = 10
third = 8
fourth = 50
fifth = 40
sixth = 90
Step-by-step explanation:
To find the area of the larger rectangle, all we're doing is breaking it up into two different ones. One has the area of 5 * 10, and the other has an area of
5 * 8. Simplifying, we get
50 + 40 = 90.
Answer:
And the cost of play would be 1 with probability 1 for any given game. Then we can find the expected value like this:

And solving we got:

And then the best answer for this case would be:
$1.50
Step-by-step explanation:
For this case we can calculate the expected value with this formula:

We assume that the standard deck is formed just with red and black cards. For this case we have the following info:
And the cost of play would be -1 with probability 1 for any given game. Then we can find the expected value like this:

And solving we got:

And then the best answer for this case would be:
$1.50