There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
Answer:4.5
Step-by-step explanation: Check the file for my explanation
Answer: A proportional relationship needs to pass through the origin and have a linear (straight) slope. Let me know if you need more specifics.
From the information given, we don't know how much each potato weighs. All we know is that when you add up all 5 of them you get one kilogram.
If all five have exactly the same weight then it's 200 grams.
Answer:
Angle G
Step-by-step explanation:
It's in both triangles.
