Farmer jones raises ducks and cows. he looks out his window and sees 54 animals with a total of 122 feet. if each animal is "normal", have many of each type of animal does he have

47 ducks and 7 cows

Step-by-step explanation:

Ducks have 2 legs and cows have 4 legs.

If all the animals are ducks,

number of legs= 54(2)= 108

Difference in number of legs= 122 -108= 14

Difference in no. of legs per animal= 4 -2 = 2

Number of cows=14 ÷2 = 7

Number of ducks= 54-7= 47

Thus, he have 47 ducks and 7 cows.

Let's check:

Total number of feet= 7(4)+ 47(2) = 122 ✓

You could also first assume that all the animals are cows. The answer would be the same.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.