Answer:
Brent’s club has more possible team combinations because there are more members to choose from
Step-by-step explanation:
Brents club can be created in C12 6 =12!/6!/6!=7*8*9*10*11*12/(2*3*4*5*6)=
=924 variants
Miguel's club can be created in C10 6=10!/6!/4!=7*8*9*10/(2*3*4)=210 variants
924>210 so Brent’s club has more possible team combinations because there are more members to choose from
Answer: the statements and resons, from the given bench, that fill in the blank are shown in italic and bold in this table:
Statement Reason
1. K is the midpoint of segment JL Given
2. segment JK ≅ segment KL <em>Definition of midpoint</em>
3. <em>L is the midpoint of segment KM</em> Given
4. <em>segment KL ≅ segment LM</em> Definition of midpoint
5. segment JK ≅ segment LM Transitive Property of
Congruence
Explanation:
1. First blank: you must indicate the reason of the statement "segment JK ≅ segment KL". Since you it is given that K is the midpoint of segment JL, the statement follows from the very <em>Definition of midpoint</em>.
2. Second blank: you must add a given statement. The other given statement is <em>segment KL ≅ segment LM</em> .
3. Third blank: you must indicate the statement that corresponds to the definition of midpoint. That is <em>segment KL ≅ segment LM</em> .
4. Fourth and fith blanks: you must indicate the statement and reason necessary to conclude with the proof. Since, you have already proved that segment JK ≅ segment KL and segment KL ≅ segment LM it is by the transitive property of congruence that segment JK ≅ segment LM.
100% of the price = $400
x % of the price = $320
we need to find x
using a proportion
100 : 400 = x : 320
100 * 320 = 400 * x
32000 = 400x
x = 32000 / 400
x = 80
That means the new price is 80% of the previous price.
100% - 80% = 20%
and based on this we can make a conclusion that the discount was 20%
I hope it is clear to you, feel free to ask anything about it :)
Answer:
d) 27
Step-by-step explanation:
The expanded form of (a+b)³ is ...
(a +b)³ = a³ +3a²b +3ab² +b³
When we are expanding (x +3)³, the x-term is ...
3(x)(3²) = 27x
The coefficient of x in the expansion is 27.
The answers are as follows:
Box 1) D
Box 2) .02D
Box 3) D + .02D
