Answer:
5 chickens, 20 goats
Step-by-step explanation:
We can set up two equations and use substitution
There are 25 total goats and chickens, so
Goats have 4 feet and chickens have two, so
By solving for G in the first equation,
We can now use substitution,
We have 5 chickens, so we have 20 goats.
Let's double check:
It checks out!
Answer:
C, F, D
Step-by-step explanation:
For each side of each triangle, think of the side as the hypotenuse of a right triangle. Then use the Pythagorean theorem to find the length of the hypotenuse, which is the side of the triangle.
Left problem:
From point C to point A, go 2 left and 7 up.
From point A to point B, go 5 right and 1 down.
From point B to point C, go 6 down and 3 left.
Perimeter = 7.3 + 5.1 + 6.7 = 19.1
Do the same for the other triangles.
Middle problem:
From point F to point D, go 2 left and 7 up.
From point D to point E, go 7 right and 2 down.
From point E to point F, go 5 down and 5 left.
Perimeter = 7.3 + 7.3 + 7.1 = 21.7
Right problem:
From point L to point J, go 7 left and 1 up.
From point J to point K, go 4 up and 5 right.
From point K to point L, go 2 right and 5 down.
Perimeter = 7.1 + 6.4 + 5.4 = 18.9
Answer:
Step-by-step explanation:
The diagram shows three paralel lines which divide the large triangle into three similar triangles.
By Thales theorem,
Then
From the similarity of triangles,