Answer:
- 220 options, 84 options, 20 options, 1 option
Step-by-step explanation:
<h3>The first dinner</h3>
Combinations of 3 out of 12 items
- 12C3 = 12!/(12-3)!3! = 12!/9!3! = 12*11*10/2*3 = 220
<h3>The second dinner</h3>
Combinations 3 out of remaining 9 items
- 9C3 = 9!/(9 - 3)!3! = 9!/6!3! = 9*8*7/2*3 = 84
<h3>The third dinner</h3>
Combinations of 3 out of remaining 6 items
- 6C3 = 6!/(6 - 3)!3! = 6!/3!3! = 6*5*4/2*3 = 20
<h3>The fourth dinner</h3>
Combinations of 3 out of 3 remaining items
- 3C3 = 3!/(3 - 3)!3! = 3!/0!3! = 1
Answer:
All triangles add up to 180 degrees
right angles are 90 degrees
we add 41 and 90 to find how many degrees are already there
41 + 90 = 131
we need 180 degrees so we see how many degrees are left
180 - 131 = 49
49 degrees are left so 49 is the answer because 49 finishes the triangle
Hope this helps
Step-by-step explanation:
Answer:
C is the answer
Consecutive angles are supplementary not congruent
