Given:
Quadrilateral with opposite lines are parallel.
To find:
The value of x
Solution:
Quadrilateral with opposite lines are parallel.
Therefore the quadrilateral is a parallelogram.
In parallelogram, the adjacent angles are supplementary angles.
⇒ 48° + x = 180°
Subtract 48° from both sides.
⇒ 48° + x - 48° = 180° - 48°
⇒ x = 132°
The value of the angle x is 132°.
Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
Testing this property:
The relationship holds true, thus events E and F are independent.
Answer:
a) x² +1
b) x² +25
Step-by-step explanation:
a) (x+i)(x− i)
= x² - ( i ) x + ( i ) x - ( i)²
= x² - i² ∵ i² = -1
= x² - (-1)
= x² +1
b) (x+5 i)(x− 5i)
= x² - ( 5 i ) x + ( 5 i ) x - ( 5 i)²
= x² - 25 i² ∵ i² = -1
= x² - 25(-1)
= x² +25
we can also solve
using identity
(a + b)(a - b) = a² - b²
= (x+5 i)(x− 5i)
= x² - (5 i)²
= x² - 25 i²
= x² +25
I am not sure about the probability but I cant tell you these events are independent because u don't need to roll a five for a coin to land on heads
