Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by
We know that the sum of 'n' consecutive natural numbers starting from 1 is
Thus from equation 'i' we can write
As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.
Answer:
Sqrt of 160
Step-by-step explanation:
The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160
The value of the angle shown in the protactor is 50° and the value of y is 10°.
<h3>How to calculate the values?</h3>
The value of y will be:
2y + 30 = 3y + 20
3y - 2y = 30 - 20
y = 10
The value of x when they're complementary will be:
5x - 2 + 3x + 4 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88.
x = 88/8 = 12
The value of angle FDE will be:
3x + 10 + 6x + 8 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
FDE = 6x + 8
= 6(18) + 8
= 108 + 8
= 116
Learn more about angles on:
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Answer:
sqrt(5)
Step-by-step explanation:
I hope this helps
