Part (a):
The sum of the interior angles of a triangle is 180°.
The given measurements are:
20°, 60° and 100°
Sum of the given measurements = 20 + 60 + 100 = 180°
Therefore, these measurements can form a triangle
Part (b):
The sum of the interior angles of a triangle is 180°.
The given measurements are:
85° , 89° and 6°
Sum of given measurements = 85 + 89 + 6 = 180°
Therefore, these measurements can form a triangle
Hope this helps :)
Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
The ratio is of yogurt to fruit to milk is 1:2:5
Hope this helps! :D
Substitution!
<span>y = 4x – 10...(1)
y = 2...(2)
You have y=2 here, substitute it in equation (1),
</span><span>y = 4x – 10
</span><span>2 = 4x – 10
</span>Add both sides by 10
12=4x
Divide both sides by 4
x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
Answer:
The answer is B
Step-by-step explanation:
I am learning the same thing somehow
