Question

Can you check this one question?
Line segment AB is equal to line segment DE. Solve for x.

Answer options:

A) x=19
B) x=12
C) x=9
D) x=16

Answer 1

That's the triangle that goes with the question, and I think it's B btw.

Answer 2

and wher I put is equal, there are "ll" I'm not positive what it means really

Answer 3

That's a reference to parallel lines, and what you have here is a system of ratios with similar triangles. The corresponding parts will have equal ratios:

\[\frac{ x - 3 }{ 4 }= \frac{ 12 }{ 3 }\]So, all you have to do is solve for "x".

Answer 4

so like 12*4 = 48 and (x-3)(3)= 3x-9

so 48=3x-9
is that right so far?

Answer 5

if I were to cross multiply

Answer 6

Yes, you are on the right track.

Answer 7

48-9 = 39
Because you subtract 9 from both sides,
and then
39=3x
then divide 3 from both sides being
x=13, right?

Answer 8

Actually, from that equation, you are supposed to add 9 to both sides, not subtract.

Answer 9

oh, shoot.. I knew that O.O just a slip up...

so 48+9=57

then
57=3x
and divide by 3 so x=19

Answer 10

Good job! You got it right! @Curiousasker7

Answer 11

Thank you for helping!

Answer 12

You are very welcome!