Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
1. <APC = <DQB [ Given]
2. Arc(AC = BD) [ Equal angles subtend equal arcs]
3. AB//CD [From 2]
Answer:
Step-by-step explanation:
Supplementary angles add up to 180
∠1 + 50 = 180
∠1 = 180 - 50
∠1 = 130
∠3 +50 = 180 {Supplementary}
∠3 = 180 - 50
∠3 =130
⇒∠1 = ∠3 = 130
21, cause if sarah had twice as mych she would have 42 and 42+21=63
