Answer:
1= 75 2= 60 3=180 4=45 5= vertical angles 6=45
Step-by-step explanation:
All we have to do is use supplimentary angles
For example angle 1
105+angle 1=180
angle one = 75 degrees
120+angle 2=180
angle two= 60 degrees
There 180 degreees in a triagle.
So angle 1 + angle 2+ angle 7= 180
75+60+angle 7=180
angle 7= 45 degrees
And since 6 and 7 are vertical angles, angle 6 is also 45 degrees.
Since the graph of the given functions is a straight line, the graph belongs to a linear function, as all linear functions have their graphs as a straight line. For a non-linear function the graph is not a straight line.
For a relation (non-function), the line passes through same value of x for more than one points.
Hence the correct answer is "Linear Function"
Answer:
The highest possible price of a sweater is $28.33
Step-by-step explanation:
We already know that price 
of jeans is $35.Let's say Mrs.Smith buys 3 sweaters for 
dollars each, and since her budget is $120 we have the inequality:
Therefore
Thus the maximum price of a sweater is $28.33
The storage box is 9 feet deep.
Hope this helps!
Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
