Angle 5x+7 is equal to the the sum of its remote interior angles, which we are given as x+15 and 6x-26. Therefore, 5x+7=x+15+6x-26. We will combine like terms to get 5x+7=7x-11. Move the 7x over to the other side by subtraction and the 7 to the other side by subtraction to get -2x = -18. That leaves us with an x value of 9. There you go!
Answer:
Given two events A and B of a sample set :-
P[A] = 0.20
P[not B]=0.40
![P[B/A]=0.25](https://tex.z-dn.net/?f=P%5BB%2FA%5D%3D0.25)
To find P[A or B]:
......[1]
Calculate for
and ![P[A \cap B]](https://tex.z-dn.net/?f=P%5BA%20%5Ccap%20B%5D)
P[B] = 1- P[not B]
Substitute the value P[not B] we get;
P[B] = 1-0.40 = 0.60
![P[A \cap B] = P[B/A] \cdot P[A]](https://tex.z-dn.net/?f=P%5BA%20%5Ccap%20B%5D%20%3D%20P%5BB%2FA%5D%20%5Ccdot%20P%5BA%5D)
Substitute the given values we get;
![P[A \cap B] = 0.25 \cdot 0.20 = 0.05](https://tex.z-dn.net/?f=P%5BA%20%5Ccap%20B%5D%20%3D%200.25%20%5Ccdot%200.20%20%3D%200.05)
Then;
Therefore, the value of P[A or B] is, 0.75.
Answer:
A
Step-by-step explanation:
y-int = -2
so the line should cross (0, -2)
Rise over run is 2/5 so go up 2, over 5 and put your dot etc...
Answer:
x=4
Step-by-step explanation:
Alright so for this one the following angles are corresponding meaning that the two equations are equal to each other. Knowing that you then have to set up an equation and the equation is 25x=4+24x. Now you wanna get the variable and the constant on different sides. To do this you subtract 24 from each side to get 1x=4. Then you divide each side by 1 to get x=4