Answer:
<h3>B. m<3 = m<6 = 75degrees</h3>
Step-by-step explanation:
First you must understand that in geometry, the alternate interior angles are equal
Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6
Given that m<3 = 75 degrees
m<6 will also be 75 degrees since both angles are equal
Answer:
dependent, 39/155
Step-by-step explanation:
Since the checkers are not replaced, the events are dependent since the number of checkers in the bag when you pick the second time depends on the first pick.
31 checkers—13 red and 18 black.
P(red) = red/ total
= 13/31
Keep the checker
Then 30 checkers—12 red and 18 black.
P(black) = black/ total
= 18/30 = 3/5
P ( red, keep,black) = 13/31 *3/5
39/155
Answer:
Step-by-step explanation:
For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52
First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:
So then 12 C5 would be equal to:
So we have 792 was in order to select 5 diamonds from the total of 12
Now in order to select 3 clubs from the total of 12 we have the following number of ways:
So then the numbers of ways in order to select 5 diamonds and 3 clubs are:
Answer:
2(5x - 4)(x + 1)
Step-by-step explanation:
10x^2 + 2x − 8 =
First, factor out the GCF of all terms which is 2.
= 2(5x^2 + x - 4)
5x^2 factors into 5x and x.
= 2(5x )(x )
-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.
= 2(5x - 4)(x + 1)
Answer: So what's the question???
Step-by-step explanation:
