Answer:
The combination is 15
Step-by-step explanation:
There are 6 people in a raffle drawing. two raffle winners each wing gift cards . each gift card is the same.
Lets call the winners Winner 1, Winner 2. According to the given statement each gift card is same, thus any permutation of these two winners are equivalent.This tells us that the order of winners does not matter and the situation involves a combination.
Now we have to calculate the combination of 2 winners from 6 people.
nCm = m!/n!(m-n)!
where m = 6
n = 2
2C6 = 6!/2!(6-2)!
2C6 = 6!/2!(4)!
2C6 = 6*5*4*3*2*1/2*1*4*3*2*1
2C6= 6*5/2*1
2C6=30/2
2C6 = 15
Thus the combination is 15....
You can do this by cross multiplying
Answer:
See attached diagram
Step-by-step explanation:
Triangle ABC has vertices A(9,3), B(-7,-5) and C(-3,7).
The dilation with a scale factor of 1/4 centered at (5, -5) has the rule
Then
Angle 1 and angle 3 are vertically opposite angles. And both angles are congruent with each other.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Line L and line M intersect each other.
Angle 1 and angle 2 are supplementary angles.
∠1 + ∠2 = 180° ...1
Angle 2 and angle 3 are supplementary angles.
∠2 + ∠3 = 180° ...2
From equations 1 and 2, then we have
∠1 + ∠2 = ∠2 + ∠3
∠1 = ∠3
The vertically opposite angles are angle 1 and angle 3. Furthermore, the two angles line up perfectly.
More about the angled link is given below.
brainly.com/question/15767203
#SPJ1
Answer:
See attached photo.
Step-by-step explanation:
x = -2y^2 + 4y + 2