Bob and fran have been married for 47 years. they have 3 children, 2 sons and 1 daughter, all ages being within 5 years of each other. their 2 sons have 5 children between them. one son has 2 children. their daughter has 3 children and 1 grandchild. if the son with 2 children had a grandchild, how many great-grandchildren would bob and fran have?

If a son were to have a grandchild, Bob and Fran would then have two great-grandchildren.

Step-by-step explanation:

C = children

G = grand children

GG =  great grand children

Bob and Fran have 3 children, 2 sons(C) and 1 daughter(C).

Their 2 sons have 5 children(G) between them. One son has 2 children(G). Their daughter has 3 children(G) and 1 grandchild(GG).

If the son with 2 children had a grandchild(GG).

Now we can see that, at present we have a single great grand child that is of their daughter's.

As given, if a son were to have a grandchild, Bob and Fran would then have two great-grandchildren.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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