Answer:
2 + y
Step-by-step explanation:
all you must do is add y to 2
Answer:
40, 60 and 80 degrees.
Step-by-step explanation:
Let the smallest angle be x degrees. Then:
The 3 angles are x, x + 40 and x + 20.
As there are 180 degrees in a triangle:
x + x + 40 + x + 20 = 180
3x = 180 -40--20 = 120
x = 40 degrees.
The other 2 angles are 60 and 80 degrees.
Answer:
x = 2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be 
.
We can then solve for x using the Pythagorean theorem:
Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.
To solve
this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we
obtain:
162= (3^4)(2)
108= (2^2)(3^3)
180= (2^2)(3^2)(5)
We choose
the common numbers with their lowest exponent:
M.C.D.= (2)(3^2)
M.C.D.= 2x9
M.C.D.= 18
The greatest number of baskets that can be made is: 18 baskets
To know how
many apples, oranges and bananas are in each basket, we must divide the
greatest number of them that can be made between the total amount of apples,
oranges and bananas, as shown below:
162/18= 9 apples
108/18= 6 oranges
180/18= 10 bananas
So, there are 9 apples, 6 oranges and 10 bananas in each basket.
