Me ayudan hacer este ejercicio con los pasos

Step-by-step explanation:

a) 2/5 × 5/7 = 10/35 ➡ 2/7 (if needed to simplify)

b) 16/25 × 2/4 = 32/100 ➡ 8/25

c) 15/6 ÷ 3/15 ➡ 15/6 × 15/3 = 25/2

d) 4/11 × 12/9 = 16/33

e) 3/5 × 7/12 = 7/20

f) 9/27 × 2/6 ➡ 9/27 × 6/2 = 3

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