Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
First you would subtract 2 to get d/3 by itself. On the left side you would have h-2 and one the right d/3 (h-2=d/3). Then you divide by 3 to get d by itself. So the answer is h/3-2/3=d
Given:
1,5,25,61.....
To find:
The following number.
Solution:
We can see a pattern in the given sequence.
Using this pattern the next term is the sum of squares of 7 and 8.
Therefore, the next number is 113.
Answer:
A: up 3 units
Step-by-step explanation:
Hopefully this helps!
Answer:
The percent off on the sale price is 30%.
Step-by-step explanation:
Marked up price = $64.99
marked down Price = $45.49
Let us assume the off percentage = k%
Now, the Amount off on the sale = Marked up price - Marked down price
= $64.99 - $45.49 = $19.5
⇒ k% off on Marked up Price $64.99 = $19.5
or, 
or, k = 30%
Hence, the percent off on the sale price is 30%
