Answer:
∠ ADC = 53°
Step-by-step explanation:
Note the angle between the radius and the tangent is 90°
The sum of the angles in quadrilateral AOCB = 360°, thus
∠ AOC = 360° - (90 + 90 + 74 )° = 360° - 254° = 106°
∠ AOC is twice the angle on the circumference ∠ ADC, thus
∠ ADC = 106° ÷ 2 = 53°
X=60 and Y=30
A quadrilateral with 2 parallel lines is a parallelogram which has equal angle to the opposite angle
Ángulo agudo es aquel que mide menos de 90º
We know that charges vary with the days of the week. E.g. Go-karting costs higher ($10) on Saturday and Sunday compared to on Monday to Friday ($5)
We need to know if the cost is a function of the activity type ?
We know that the cost varies with the day. So the cost is a function of the day of the week. On weekdays the function yields a lower value, whereas on weekends it yields a higher value.
Since the cost for a particular activity is changing and not staying constant, <u>hence the cost is not a function of activity type.</u>
Given:
Number of students who has a cat and a dog = 5
Number of students who has a cat but do not have a dog = 11
Number of students who has a dog but do not have a cat = 3
Number of students who neither have a cat nor a dog = 2
To find:
The probability that a student has a cat given that they do not have a dog.
Solution:
Let the following events:
A = Student has a cat
B = Do not have a dog
Total number of outcomes is:
The probability that a student has a cat but do not have a dog is:
The probability that a student do not have a dog is:
The conditional probability is:
Therefore, the probability that a student has a cat given that they do not have a dog is 
.
