Answer:
10
Step-by-step explanation:
Very easy equation if you know how to do it. All you need to do is divide your total amount of something (in this case "150" as that's our amount of "money we're given") by whatever the price or amount is. (In this case 15. Each cartridge costs $15. I'm not amazing at explaining things like this.. Sorry about that. If you have any questions about this feel free to let me know!)
So to put it "all together":
150 ÷ 15 = 10.
10 is your answer.
Hope this helps and have a nice day!
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
---> by addition segment postulate
we have

substitute

solve for x




step 2
Find the value of EF

substitute the value of x

step 3
Find the value of FG

substitute the value of x

Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
_____
<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k