The angles should add to 540, so
b+ (3/2)b+(b+45)+(2b-90)+90=540
First combine like terms
5.5b+45=540
Then subtract 45 from both sides
5.5b=495
Divide both sides by 5.5
b=90
Final answer: b=90
9514 1404 393
Answer:
- Tigers: 8 coaches, 72 players
- Eagles: 16 coaches, 136 players
Step-by-step explanation:
We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...
10t +19e = 232 . . . . . the total of players and coaches in the two clubs
We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."
The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.
The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.
Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.
The Tigers have 8 coaches and 72 players.
The Eagles have 16 coaches and 136 players.
Answer:
c) does not make sense, y-int is (0,-8). a) the graph does show a linear line. b) sure it works, the x-int is 3. d) yes the line is infinite both ways (x,y) x (infinite, -infinite) y (infinite, - infinite)
Step-by-step explanation:
I hope this helps
Answer:
-45
Step-by-step explanation:
distribute the 9 to everything in the parenthesis
9 will be multiplied by -5
therefore, the answer is -45
