Kyra has a rock collection. when she puts her rocks into 2 equal piles, there are no rocks left over. when she puts her rocks into 3 equal piles, there are still no rocks left over. when she puts her rocks into 4 equal piles, there are still no rocks left over. how many rocks could kyra have?

She could have 12 rocks.

if she divides 12 rocks into two piles itd be 6 rocks per pile

if she divides 12 rocks into 3 piles itd be 4 rocks per pile

if she divides 12 rock into 4 piles itd be 3 rocks per pile.

hope it helps!

So, let's go up with numbers for each. I will do 4 that fit each category

#'s that fit in 2 piles: 2, 4, 6, 8

#'s that fit in 3 piles: 3, 6, 9, 12

#'s that fit in 3 and 2 piles: 6, 12, 18, 24

#'s that fit in 4 piles: 4, 8, 12, 16

As we can see, the number 12 is in 2, 3, and 4

12

The true statement is D

Step-by-step explanation:

See the attached figures.

Figure (1) is the rest of the question.

Figure (2) will help to find the answer.

Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G as shown in figure (2)

Check which option is true:

A) segment EG ≅ segment E'G'  (Wrong)

    Because E'G' is twice greater than EG.

B) The slope of segment EF is the same as the slope of segment E'H' (Wrong)  Because these lines are not parallel.

C) segment H'F' will overlap segment HF  (Wrong)

    because they are parallel

D)  segment EH and segment E'H' both pass through the center of dilation.

  (True)  because the center of dilation belongs to EH and E'H'.