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triangle CDE is similar to BAC. Therefore you just use proportions.

\[\frac{ 42 }{ 6 }=\frac{ x }{ 32-x }\]
Solve for x.

it just says to round your answer to two decimal places. thanks for the help

@ashley_fay Are you learning similarity at school?

i was earlier but that was at the beginning of the unit and i kind of forgot about it.

What topic is this on? When you got these questions, what topic is this?

studying for the unit quiz

That doesn't give me a clue what topic you're learning when you got these questions.

i put the same exact image on here

So I was correct. Read what I wrote above and solve for x.

x=28

does the line of BC perpendicular with line CE ?? is there sign right angles there ??

if yes, use the similarity property and we get the proportion :
x/6 = 42/(32-x)
solve for x

|dw:1359767903897:dw|

ABC is similar to DEC...Angle B is equal to angle E.

Angle A is equal to Angle D....

Angle C is equal to Angle C....

there are two*