Answer:
The top is 5
The right side is 5
The bottom is 2x = 2*5 = 10
The left is 5-2 = 3
Step-by-step explanation:
The perimeter is the sum of the sides
x+x+ 2x + x-2 = 23
Combine like terms
5x-2 = 23
Add 2 to each side
5x-2+2 = 23+2
5x = 25
Divide each side
5x/5 = 25/5
x = 5
The top is 5
The right side is 5
The bottom is 2x = 2*5 = 10
The left is 5-2 = 3
9514 1404 393
Answer:
8 people
Step-by-step explanation:
If 20 of 140 people play tennis, then in a group of 504 people, we expect ...
(20/140) × 504 = 72 . . . . tennis players
If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...
(1/9) × 72 = 8 . . . . have a coach
We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.
Answer:
(7,12),(-12,-7)
Step-by-step explanation:
x^2 + y^2 = 193
x - y = - 5
x = y - 5
(y - 5)^2 + y^2 = 193
y^2 - 10y + 25 + y^2 = 193
2y^2 - 10y + 25 = 193
2y^2 - 10y + 25 - 193 = 0
2y^2 - 10y - 168 = 0
2*(y^2 - 5y - 84) = 0 This factors into
2*( y - 12) (y + 7) = 0
y = 12
in which case x = 12 - 5 = 7
y = - 7
in which case x = -7 - 5 = - 12
