Answer:
x=4.0625 cm
Step-by-step explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.
Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:
(x+5)^2= 9^2+(x-3)^2
(x^2+10x+25)=81+(x^2-6x+9)
x^2+10x+25=81+x^2-6x+9
16x=65
x=4.0625
Checking:
(4.0625+5)^2=9^2+(4.0625-3)^2
82.1289=82.1289
Because LP squared plus PM squared must equal LM therefore LP cannot be less.
To determine the number of animals in each pack, we need to understand each statement in the problem since these are key to obtaining the correct answer.
number of packs = 3
number of animals given to sister = 6
number of animals left = 9
total number of animals = 6+9 = 15
It is said the in each pack there is an equal number of animals. Therefore,
Number of animals per pack = 15 / 3 = 5 animals