Answer:
Therefore, Steve will paint house for 20.6 days.
Step-by-step explanation:
We know that Steve determines that it would take them 9 days to paint the house together (if they were both healthy) and that it would take Janet (when healthy) 16 days to paint the house alone.
We conclude that in 1 day Janet painted 1/16 of the house. In nine days, Janet painted 9/16 of house.
So, 7/16 of house paint Steve in nine days.
We have the following proportion:

Therefore, Steve will paint house for 20.6 days.
Since that is a triangle the expression would be b x h / 2. So 12*12 = 144 / 2 = 72. The answer is 72.
<h3>Answer:</h3>
A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
<h3>Explanation:</h3>
The sum of angles in ∆ABC is 180°, so ...
... (2x -2) + (2x +2) + (5x) = 180
... 9x = 180
... x = 20
and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.
___
The sum of angles of ∆A'B'C' is 180°, so ...
... (58 -x) +(3x -18) +(120 -x) = 180
... x +160 = 180
... x = 20
and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.
_____
The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...
... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
Answer:

Step-by-step explanation:
The function is
where x is the number of bottles of soda.
The domain means the set of "allowed" x values.
Also, f(x) means the amount of money left, which cannot be less than 0. So we put 0 into f(x) and solve for x:

This means the highest number of bottles you can buy is 10. So the domain is anything from 0 to 10. <em>You can buy 0 until highest 10 bottles. Hence the domain is </em>
