Choose two numbers from this list: 3, 4, 6, 12. Explain the difference between finding the greatest common factor and the least common multiple of the two numbers.

Please check explanations for answer

Step-by-step explanation:

Let us choose 4 and 6

When we talk of the greatest common factor, we mean the highest number that is a factor of both numbers

The factors of 4 are 1,2,2 and 4

Factors of 6 are 1,2,3 and 6

So as we can see the only common factors to both are 1,2 but the highest here is 2

The least common multiple refers to the smallest number which divides 4 and 6 at the same time without leaving a remainder

Multiples of 4 are 4,8,12 , 16,20 •••••

multiples of 6 are 6,12,18,24

As we can see, the lowest common number to both is 12

the answer is b

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.