∆ABC ~ ∆DEF, AB=4x-2, DE=7, BC=2x+4, EF=6. find the value of X

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft