Answer:
25 dogs and 55 cats
Step-by-step explanation:
5/11 ratio, first add those up which you get 16
Then divide the total amount of animals by the ratio-80
80/16 = 5
(5*5)/(11*5)
25 dogs and 55 cats
Answer:
BD = √13cm, AC = 10c,
Step-by-step explanation:



Answer:
is a factor of 
Step-by-step explanation:
is a factor of 
We will prove this with the help of principal of mathematical induction.
For n = 1,
is a factor
, which is true.
Let the given statement be true for n = k that is
is a factor of
.
Thus,
can be written equal to
, where y is an integer.
Now, we will prove that the given statement is true for n = k+1

Thus,
is divisible by
.
Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.
Answer:
36
Step-by-step explanation:
sides of the three sided figure==13,12,6
the longest side is the hypotenuse
this is 13
area of a triangle is height x base x 1/2
if so ... aarea is 12 x 6 x 1/2
that is equivalent to 36
Answer:
N, M, P
Step-by-step explanation:
The smallest angle is opposite the shortest side
The largest angle is opposite the longest side
Thus
∠ N is opposite the shortest side MP = 10
∠ P is opposite the longest side MN = 18
From smallest to largest, then
∠ N, ∠ M, ∠ P