Answer:
8 new chicks can be fitted in the coop.
Step-by-step explanation:
A chicken coop holds 10 hens or 20 chicks.
That means space in the coop for 10 hens = space for 20 chicks
Or space for 1 hen = space for 2 chicks
Now
th of the hens were removed from the coop.
So, number of hens removed from the coop = 
= 4 hens
And space for 4 hens in the coop = space for the 8 chicks
Therefore, 8 new chicks can be fitted in the coop.
The first integer is going to be x and the second one is going to be y.
We now turn the clues into equations:
x = y - 5
xy = 84
The substitution method:
(y - 5)y = 84
y^2 - 5y - 84 = 0
(y+7)(y-12) = 0
y = -7, 12.
If y = -7, then x = -12.
If y = 12, then x = 7
Answer:
It is not.
Step-by-step explanation:
Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.
Answer:
Step-by-step explanation:
G is the centeroid of the triangle. G splits AE in the ratio 2 : 1
AG : GE = 2 : 1
AG = 2x and GE = x
2x = 20
x = 20/2
x = 10
GE = 10 ; AG = 20
AE = 20+10 = 30
CG : GD = 2:1
CG = 2x and GD = x
2x = 10
x = 10/2
x = 5
GD = 5
BF = 30
BG : GF = 2 : 1
BG = 2x ; GF = x
BF = 30
BG + GF = 30
2x + x = 30
3x = 30
x = 30/3
x = 10
GF = 10