Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
Answer:
11. 
12. 
13. 
Step-by-step explanation:
11. 
Using Formula:


12. 
Using Formula:


13. 
Using Formula:


Answer:
Im not sure what it is to do but the answer i got was -886.6
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of keys is n
The number of keys remaining after the first key is chosen is n-1
The probability that he gains entrance with the first key he selects is 
Generally the probability that the first key does not open the door is

Generally the number of keys remaining after the second key is chosen is
n-2
Generally the probability that he gains entrance with the second key he selects is

Generally the probability that the second key does not opens the door is

Generally the probability that he gains entrance with the third key he selects is

Generally the probability that the door opens with the third key

=> 
=> 
Note :
All the outcome of the events are independent
A rational number includes fractions (3/4), integers (-2,-1,0,1,2), and whole numbers (0,1,2,3,4,5).
To convert a fraction into a decimal, you divide the numerator by the denominator. In your case, 4/33 as a decimal is 0.1212121212...etc..