Answer
c,116°
Step-by-step explanation:
i don't know how to draw a diagram?
Join ends of chord with the center making angles ∠2,∠3 and angle at the center.
angle at the center=128°
∠1=∠2+90°
∠2=∠3
∠2+∠3+128=180
∠2+∠2+128=180
2∠2=180-128=52
∠2=52/2=26
∠1=26+90=116°
sorry i can't explain properly without picure.
Answer:
Step-by-step explanation:
<u>Given expressions:</u>
- 8 = x - 2 ⇒ x = 8 + 2= 10
- 3 = x ÷ 4 ⇒ x = 3*4 = 12
- x - 6 = 5 ⇒ x = 5 + 6 = 11
- x - 3 = 9 ⇒ x = 9 + 3 = 12
3 of them involves addition, one of them - multiplication
The second expression doesn't belong
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!
