How many different meal combinations are possible if he chooses one type of sandwhich, one snack, and one drink ?

12 different possibility

Step-by-step explanation:

1- pbj, cookie, juice

2-pbj, cookie, milk

3-pbj, cookie water

4-pbj,brownie, juice

5-pbj, brownie milk

6-pbj, brownie water

7-turkey, cookie, juice

8-turkey, cookie, milk

9-turkey, cookie, water

10-turkey, brownie, juice

11-turkey, brownie, milk

12-turkey, brownie, water

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value