Answer:
Step-by-step explanation:
→ State the gradient formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ Find x₁ , x₂ , y₁ and y₂
x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20
→ Substitute in the values
→ Simplify
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
Answer:
3/4
Step-by-step explanation:
Answer:
1 point
Step-by-step explanation:
The number of games in the tournament is:
₄C₂ = 6
Another way to look at it: Team 1 plays 3 games against Team 2, 3, and 4. Then, Team 2 plays 2 games against Team 3 and 4 (Team 2 already played Team 1). Finally, Team 3 plays a game against Team 4. So the total is 3 + 2 + 1 = 6.
If there's a total of 6 games, then there's a total of 6 points. So if x is the number of points Team 4 has:
x + 1 + 3 + 1 = 6
x + 5 = 6
x = 1
Team 4 has 1 point.
