Lily and bella had an equal number of dolls at first. iris had 5 more dolls than lily. after bella gave away 10 dolls and iris gave away 9 dolls, bella had 2/5 as many dolls as iris. how many dolls did lily have

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough