Answer:
m = 28
Step-by-step explanation:
The two triangles are similar, therefore we can make proportions
36/24 = 42/m
m = 42(24)/36 = 28
That equation is an upward-opening parabola so the domain is (- ∞, ∞)
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So

The manager can select a team in 61425 ways.
37 + 82 + x = 180
119 + x = 180
119 - 119 + x = 180 - 119
x = 61
First you had to add by seven from both sides of equation form.

Then simplify by equation.

Next, you multiply by two from both sides of equation form.

And finally, simplify by equation.





Final answer: 
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie