Find the greatest common factor of the two numbers 20 + 36

rewrite the sum from above using the distributive property.

Step-by-step explanation:

I'm going to do this the way you requested it. Then I'll do it another way which is better for larger numbers.

The highest common factor that will go into both these numbers is 4.

S = 20 + 36

S = 4 ( 5 + 6)  There is nothing common between 5 and 6. 5 is a prime. It does not divide down further.

This may look like something that is easy to do until you have some really huge numbers that have lots in common like 480 and 800. Then the best way to do it is factor it into prime factors.

800: 2 * 2 * 2 * 2 * 2 * 5 * 5

480: 2 * 2 * 2 * 2 * 2 * 3 * 5

The common factor is bolded 2^5 * 5

2^5 = 32

32 * 5 = 160

The highest common Factor is 160

Conclusion

For small numbers, like 20 and 36, use the distributive property. It can be used even for larger numbers, but you have to be able to do the factoring in your head, or it's easier if you can.

For larger numbers I would do prime factors which is a whole different question.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "