Yes there are 8 flute players
The equation is
4+F=12
Subtract 4 from both sides you have F=8
Vertical angles ate those that ate directly across from each other and share the same vertex. An example of this would be angles 5 and 7. These types of angles are also congruent, so angles 5 and 7 could be your congruent pair or another set of vertical angles like 1 and 3. A linear pair is two angles that together are a line. Basically, they are next ro each other (divided only by another vector) and are supplementary, adding up to 180 degrees. An example of this in the image is angles 1 and 2.
She can make 3 since theres only 3 mascaras? and for each makeup kit she can add two eyeshadows and one mascara
As in each table can seat 8 people and the probability you need to find is about the first person you can ignore this data.
Probability that the first person to enter the room will be randomly seated at a maple table:

#maple tables: 9
# total tables: 9 +10 +5 +7=31

Then, the probability that the first person to enter the room will be randomly seated at a maple table is 9/31