Answer:
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is 
.
Because all the angles of a triangle sum to 
, we have that 
.
We combine like terms on the left side to get 
.
We subtract 
on both sides to get 
.
So, 
and we're done!
Answer:
Range is number of copies produced and set of values is; 1 ≤ N ≤ 200
Domain; Cost of publishing book in dollars; set of values are; $710 ≤ N ≤ $2700
Step-by-step explanation:
Range is a set of all the possible output values in a function while domain is the set of all possible input values.
Now, the function is given as;
C = 10N + 700
Where;
C is the cost of publishing the book in dollars
N is the number of copies of books produced
Thus, the domain will be a set of N values while Range will be a set of C values.
We are told that the first printing can produce up to 200 copies of the book.
That means a maximum of 200 books and a minimum of 1.
Thus;
Range is; 1 ≤ N ≤ 200
Maximum possible cost of the 200 books is;
C = 10(200) + 700
C = $2700
Minimum cost which will be for 1 book will be;
C = 10(1) + 700
C = $710
Thus,domain is;
$710 ≤ N ≤ $2700
Answer: here is your steps Simplifying
8x + -37 = 5x + 17
Reorder the terms:
-37 + 8x = 5x + 17
Reorder the terms:
-37 + 8x = 17 + 5x
Solving
-37 + 8x = 17 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-37 + 8x + -5x = 17 + 5x + -5x
Combine like terms: 8x + -5x = 3x
-37 + 3x = 17 + 5x + -5x
Combine like terms: 5x + -5x = 0
-37 + 3x = 17 + 0
-37 + 3x = 17
Add '37' to each side of the equation.
-37 + 37 + 3x = 17 + 37
Combine like terms: -37 + 37 = 0
0 + 3x = 17 + 37
3x = 17 + 37
Combine like terms: 17 + 37 = 54
3x = 54
Divide each side by '3'.
x = 18
Simplifying
x = 18
Step-by-step explanation:
-8a/8 = 22
8 divided by 22 is 2.75
a = -2.75
