Hey look at this picture and me reward its 20 points

52

130

Step-by-step explanation:

39 diamonds per 3 chandeliers is a unit rate of 39/3 diamonds/chandelier,

or 13 diamonds/chandelier

Multiply the number of chandeliers by 13 to find the number of diamonds needed.

4 * 13 = 52

10 * 13 = 130

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

44

step-by-step explanation:

the