Answer:
50 degrees
Step-by-step explanation:
vertical angles are the same
angle LPM = 180-60-70
angle LPM = 180-130 = 50
angle LPM = angle KPN
50=angle KPN
Solution: The function that represents the Grace earning each week is defined as , where is in dollar and is the time in hours. domain of the function is [10,20].
Explanation:
Let, Grace works for h hours per week.
For one hour she get $9.
For h hours she get .
So, the function that represents the Grace earning each week is defined as .
It is given that she works from 10 to 20 hours per week, therefore the value of h lies between 10 to 20. Hence the Grace's earnings for each week is defined as and the domain of the function is [10,20].
Answer:
93
Step-by-step explanation:
Let's set this up with a system of equations.
Represent hamburgers with h, and cheeseburgers with c.
The shop sold 279 total, so our first equation is h+c=279.
The cheeseburgers were 2x the hamburgers, so c=2h.
Now we have our system.
h+c=279
c=2h
Use substitution to solve.
h+c=279
h+2h=279
3h=279
h= 93
93 hamburgers were sold on Monday.
538 x 100 = 53,800
Therefore the product is 53,800.