Question

Answer this geometry question

Answer 1

if they are proprtional which is what the ~ means then

BA/AC=ED/CD

42/x=6/(32-x)
solve
divide both sides by 6
7/x=1/(32-x)
multiply both sides by (x)(32-x)
7(32-x)=x
distribute
224-7x=x
add 7x to both sides
224=8x
divide both sides by 8
28=x

x=28