Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the 
and the 
are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
So, You can determine that the angle 2 have the same measure. This is:
Lets say W=Wesley, M=Max, and J=Jared.
So your equations are M=2J, 2M=W, and M+J+W=21days(3 weeks)
So substituting M and W into M+J+W=21 gives you 2J+J+2M=21, substitute M again, to get 2J+J+4J=21 so you get 7J=21 so J= 3 days. Using J=3, substitute in to find M, using M=2J, so M=2(3) so M=6 and using that, substitute into 2M=W, so 2(6)=W so W=12. And 12+6+3=21 to check.
Thank you for the no question lol have a nice nite!!! And Happy Thanksgiving
Answer:
The probability of getting exactly two read marbles is P = 0,003456%
Step-by-step explanation:
So, each of the following sequences are the desired results(I will use R for a red marble and G for a green marble).
S(1) = R-R-G-G
S(2) = R-G-R-G
S(3) = R-G-G-R
S(4) = G-R-R-G
S(5) = G-R-G-R
S(6) = G-G-R-R
In all, considering there are replacement, there can be 10*10*10*10 = 10000 total sequences, so the probability of getting exactly two read marbles is
P = \frac{P(S(1)) + P(S(2)) + P(S(3)) + P(S(4)) + P(S(5)) + P(S(6))}{10000}
where
P(S(1)) = P(S(2)) = P(S(3)) = P(S(4)) = P(S(5)) = P(S(6)) = (0.4)^{2}*(0.6)^{2} = 0.16*0.36 = 0.0576.
The probability of getting exactly two read marbles is
P = \frac{6*0.0576}{10000} = 0,003456%
