Intersecting is where two lines cross at any angle.
Perpendicular means two lines cross at exactly a 90-degree angle
Parallel indicates that the two lines have the same slope and never cross.
2x + 5y = -6
-5y -5y
___________
2x = -11y
__ ___
2 2
x = 5.5
Answer:
Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence

The number of visits Liam can make to earn his first free movie ticket is: 8.4.
<h3>
Number of visits Liam can make</h3>
Let x represent the number of visits
Formula
55+12.5×x=160
Re-arrange
12.5x=160-55
12.5x=105
Divide both side by 12.5x
x=105/12.5
x=8.4 visits
Therefore the number of visits Liam can make to earn his first free movie ticket is: 8.4.
Learn more about Number of visits Liam can make here:brainly.com/question/18350673
#SPJ1
Answer:
x=9
Step-by-step explanation:
These two angles are equal since they are alternate exterior angles
-1 +14x = 12x+17
Subtract 12x from each side
-1 +14x-12x = 12x-12x+17
-1+2x= 17
Add 1 to each side
-1+1+2x = 17+1
2x = 18
2x/2 = 18/2
x =9