Answer:
In A Premier League there are 20 soccer teams.
(a)In One Round How Many Games Are There?
20 choose 2 = 20C2 = 190
(b) If five of the teams represent one company, find the
number of ways pairs of teams representing different companies
can play the game.
So there are 4 companies, each having 5 teams.
4 companies choose 2 = 4C2 = 6 ways
Choose a team of the company that's, say, been in business the
longest.
5 teams choose 1 = 5C1 = 5 ways
Choose a team of the other company,
5 teams choose 1 = 5C1 = 5 ways
Answer 6*5*5 = 150 ways.
Answer:
2 right, 4 down, y-axis
Step-by-step explanation:
Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.
__
We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.
If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.
The building at site A was translated <u><em> 2 </em></u> units right and <u><em> 4 </em></u> units down; then it was reflected across the <u><em> y-axis </em></u>.
Answer:
angle Q = angle S, angle R = angle R, angle P = angle T
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
9x = 180 ( divide both sides by 9 )
x = 20
Answer:
Therefore the length of NO is 18 units.
Step-by-step explanation:
Given:
∆JKL~∆MNO and

KL = 12.
To Find :
the length of NO = ?
Solution:
Δ JKL ~ Δ LMN ….{Given)
If two triangles are similar then their sides are in proportion.
Substituting the values we get

Therefore the length of NO is 18 units.