The quadrilateral is cyclic, because the angle that the tangent and the radius meet forms a right angle. Since the two opposite angles are 90° each, they form a 180° summation. Thus, the four points are cyclic.
Now, the smaller ∠O is 135, which means x is 180 - 135 because the four points are concyclic. Thus ∠O + x = 180°
Hence, x = 180 - 135 = 45°
∴ x = 45°
Answer:
The train takes 8 hours and 52 minutes.
Step-by-step explanation:
Both Zurich and Vienna are in the same time zone, so there is no time to adjust the time zone.
Leaves: 22:40
Arrives: 7:32
From 23 to 7:32 there are (7 - 0) + (24 - 23) = 8 hours.
32 + (60 - 40) = 32 + 20 = 52 minutes.
The train takes 8 hours and 52 minutes.
Answer:
(2,6)
Step-by-step explanation:
<u><em>The options of the questions are</em></u>
(0,1) (1,3) (2,6) (3,27)
and the given function is 
we know that
If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation
<u><em>Verify each ordered pair</em></u>
case 1) (0,1)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is true
so
The ordered pair lie on the graph of the given equation
case 2) (1,3)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is true
so
The ordered pair lie on the graph of the given equation
case 3) (2,6)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is not true
so
The ordered pair not lie on the graph of the given equation
case 4) (3,27)
substitute the value of x and the value of y in the linear equation and then compare the results

----> is true
so
The ordered pair lie on the graph of the given equation
mode is the data that occurs most often in a data
You will get 8 cells because 3 divided by 24 = 8