Answer:
∠ S = 151°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° ( n - 2) ← n is the number of sides
Here n = 5, thus
sum = 180° × 3 = 540
Sum the interior angles and equate to 540
10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540, that is
43x - 62 = 540 ( add 62 to both sides )
43x = 602 ( divide both sides by 43 )
x = 14
Thus
∠ S = 13x - 31 = 13(14) - 31 = 182 - 31 = 151°
Answer:
$32.25
Step-by-step explanation:
20% of $129 is $32.25
Translating the given problem
into equation form:
Let A = volume of prism A
B = volume of prism B
C = volume of prism C
Eqn 1: A + B+ C = 518
Eqn 2: A = (1/3)B
Eqn 3: B = C
There are 3 equations and 3
unknowns, the system of linear can be solved. Using a calculator (preferably Casio
991-ES), yields:
A = 74 cu.ft
B = 222 cu.ft
C = 222 cu.ft
Answer:
13.857142
Step-by-step explanation:
Took a lot of math.