Lorelei evaluates the expression to determine how many different groups of ten she can make out of twelve items. her solution: subtract within parentheses and simplify: expand: divide out common factors: because 6 divided by 2∙1 is 3, there are 3 ways to choose the groups. which statements describe lorelei’s solution? check all that apply. her work is correct. her answer is correct. in step 1, the subtraction cannot be completed before the factorial of each number is calculated. in step 1, 12! divided by 10! is not equivalent to 6! divided by 5! . in step 3, the dividing out of common factors was performed incorrectly. there are sixty-six ways to choose ten items from twelve.

D and F for edge...

Step-by-step explanation:

D. In step 1, 12! divided by 10! is not equivalent to 6! divided by 5!.

F. There are sixty-six ways to choose ten items from twelve.  

Step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.