X = 3 and CB = 19. To find x you would put 4x-9 + 3x+5 = 17. Remember to get all the x’s on one side and the other numbers on the other aide of the equal sign. Then plug x into the length of BC.
Answer:
x=8
Step-by-step explanation:
Complementary angles are equal to 90 degrees.
angle ABC + angle DBC = 90
6x+13+4x-3=90
Combine like terms
6x+4x+13-3=90
10x+10=90
get x alone by subtracting 10 on both sides
10x=80
divide 10 on both sides
x=8
Vertical angles are made by two intersecting lines .and they are always equal
<span>∠C and ∠D are equal.
so </span><span>−x+26 =2x-10
-3x=-36
x=36/3
x=12</span>°
∠D= 2x-10
put value of x here
∠D=24-10
∠D=14°
Answer:
The probability that the yellow M&M came from the 1994 bag is 0.07407 or 7.407%
Step-by-step explanation:
Given
Before 1995
(Br) Brown = 30%
(Y) Yellow = 20% =0.2
(R) Red = 20%
(G) Green =10% =0.1
(O) Orange = 10%
(T) Tan = 10%
After 1995
(Br) Brown = 13%
(Y) Yellow = 14% =0.14
(R) Red = 13%
(G) Green = 20%
= 0.2
(O) Orange = 16%
(Bl) Blue = 24%
Since there are two bags, let A be the bag from 1994, and B be the bag from 1996
Then let AY imply we drew a yellow M&M from the 1994 bag
AG implies we drew a green M&M from the 1994 bag
BY implies imply we drew a yellow M&M from the 1996 bag
BG implies we drew a green M&M from the 1996 bag
P(AY) =0.2
P (BY) = 0.14
P(AG) =0.1
P(BG) =0.2
Since the draws from the 1994 and 1996 bag are independent,
therefore

The draws can happen in either of the 2 ways in (1) and (2) above
therefore total probability E is given as
E =
For the yellow one to be from 1994, it implies that the event to be chosen is

Since the total probability is given as E=0.054
then 
Concluding statement: This is the condition for the Yellow one to come from 1994 and green from 1996 provided that they obey the condition from E