Answer:
a)
ways
b)
ways
c)
ways
Step-by-step explanation:
Combinatory means combination or arrangement of different elements.
If we have n total elements and we want to find in how many ways we can select x we can use this general formula:
![nCx= \frac{n!}{x! (n-x)!}](https://tex.z-dn.net/?f=%20nCx%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%20%28n-x%29%21%7D)
Where ![n! = n *(n-1)!](https://tex.z-dn.net/?f=%20n%21%20%3D%20n%20%2A%28n-1%29%21)
a. How many different ways can four pieces be selected from the 12 colored pieces?
For this case we have:
ways
b. How many different ways can two orange pieces be selected from five orange pieces?
For this case we have:
ways
c. How many different ways can two brown pieces be selected from seven brown pieces?
For this case we have:
ways
Answer:
Has a common ratio so it is a geometric sequence
Step-by-step explanation:
The common ratio of this geometric sequence is 1/2
Answer:
∠BDC=50°
Step-by-step explanation:
∠BDC=∠A[angles at the same segment)
∠A= 180-(65+65)=180-130= 50°
so, ∠BDC=50°
<em>MARK ME BRAINLIEST</em>
Answer:
ITS 2 LOL
Step-by-step explanation:
Answer:
42 i hope this helps! :)
Step-by-step explanation:
we are given a 90 degree angle
so the measurement of BOC and AOB should add up to 90 degrees all together
we are trying to find the measurement of angle BOC right?
so lets combine the equations that we are given for both angles
measure of angle BOC = 6x - 6
measure of angle AOB = 5x + 8
6x - 6 + 5x + 8 = 90
lets combine like terms with the variable of x
11x - 6 + 8 = 90
combine like terms again with the regular numbers
11x + 2 = 90
subtract 2 from both sides of the equation to get
11x = 88
lets divide both sides by the value of 11
x = 8
now we know the value of x, so we can now plug that into the equation of angle BOC
48 - 6 = 42
measure of angle BOC is 42 degrees