Answer:
26 wins , 14 ties
Step-by-step explanation:
Given: Hockey teams receive 
points when they win and 
point when they tie. One season, a team won a championship with 
points. They won 
more games than they tied.
To Find: How many wins and how many ties did the team have.
Solution:
let the number of wins hockey team have 
let the number of ties hockey team have 
Now,
Hockey teams receive points when they win and point when they tie.
They won more games than they tied
Solving both equations we get
Hence, the hockey team have 
wins and 
ties.
The correct answers is 43.33%
Answer:
<h3>6 feet</h3>
Step-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
Answer:
9. C
10. C
11. C
Step-by-step explanation:
9.
simply, 
10.
the greatest divisor of 28 is 7, so:
28 + 7 = 35
11.
the greatest divisor of 15 is 5, so:
15 + 5 = 20
n = 20
the greatest divisor of 20 is 10, so:
20 + 10 = 30
Answer:
Angle T = 62°; Angle U = 43°; Angle V = 75°
Step-by-step explanation:
First, find x. We know that the interior angles of a triangle will always add up to 180°.
180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms
180° = 13x + 24 –––Subtract 24 from both sides
156° = 13x ––– Divide both sides by 13 to get x alone
12° = x
Now that we know what x is, we can substitute it in the expressions for the angles.
Angle T:
5x +2
5(12) + 2
60 +2
62°
Angle U:
2x + 19
2(12) + 19
24 + 19
43°
Angle V:
6x + 3
6(12) + 3
72 + 3
75°
Check:
They must equal 180° when added together:
75° + 62° + 43° = 180°
75° + 105° = 180°
180° = 180°
