The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.
We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
180°=∠ABC + ∠ACB + ∠BAD
180°=55°+90°+∠BAD
∠BAD=35°
Therefore, the answer is 35°.
Answer:
1980
We can choose 2 men from 9 in 36 in ways.
We can choose 2 women from 11 in 55 ways.
For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.
If you're wondering how i got the numbers i used the combination formula:
C(n, k) = 
Answer:
(6)=120°
(10)=72°
(20)=36°
Step-by-step explanation:
(n-2)×180°
(6-2)×180°=720°
6÷720°=120°
10÷720°=72°
20÷720°=36°
Answer: b. Only statement (ii) is correct.
Step-by-step explanation:
The given five-number summary of the ages of passengers on a cruise ship is listed below.
Min 1
20 Median 29
38 Max 80
Inter-quartile range = 
- According to the 1.5(IQR) criterion for outliers : An data value is an outlier if it lies below
or above
.
Here , 

Since the minimum value>
( ∵ 1 > -7)
It means there is no value below
, so there is no low -outlier.
⇒ Statement (i) "here is at least one passenger whose age is a low outlier. " is false.
But the maximum value >
(∵ 85 > 65)
It means there are values above
.
⇒Statement (ii) "There is at least one passenger whose age is a high outlier" is true.
Hence, the correct answer is b. Only statement (ii) is correct.