x = 109
this is pentagon
the sum of the interior angles of a polygon is
sum = 180°( n - 2) where n is the number of sides.
sum = 180° × 3 = 540° thus
x + 121+ 108 + 102 + 100 = 540
x + 431 = 540
subtract 431 from both sides
x = 540 - 431 = 109
there are 4 1/4 per a whole
so multiply 0.75 x 4
0.75 x 4 = 3.00 dollars per pound
For this case what you have is the same as a rectangle triangle where you have as data the degree of inclination of the hypotenuse with respect to the base and the height of the triangle.
We have to find the value of the hypotenuse.
For this we use the following trigonometric relationship:
senx = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse.
Substituting the values we have:
sen (12) = 100 / h
We cleared h:
h = 100 / sin (12)
h = 480.97 m
Answer:
Galileo should walk 480.97 m up the inclined plane
To use the equation we need a1 and d(the common difference).
We have a1 = 57, we need to find d.
93-84 = 9; 84-75=9; 75-66=9; 66-57=9
d = 9
a350 = 57 + (350-1)(9)
a350 = 57 + (349)(9)
a350 = 57 + 3141
a350 = 3198
If it was bought after 10% discount, it means it was bought at 90% of the original price:
90% = $450
1% = $5
100% = $5 x 100
100% = $500
The original price of the Play Station was $500.