Help me ! Juanita made charm bracelets for each of her five friends. Two of the bracelets had 15 beads each, one of the bracelets had 25 beads, and the final two bracelets had 36 tiny beads each. Juanita had 40 beads leftover after she made all five bracelets. How many beads did she start with?

15 x 2= 30

30+25+ 36+36= 127

127+40=167

ans: 167

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4