Question

line LM is the midsegment of trapezoid ABCD. AB=x+8, LM=4x+3, and DC=187. what is the value of x?

Answer 1

@DemolisionWolf

Answer 2

mmm.... this is going to take my brain a bit to figure ^_^

Answer 3

thats fine, this one is even more confusing than the others!

Answer 4

do you remember learning about 'similar triangles' like if you had two triangles and one was bigger than the other, but they had the same angles?

Answer 5

no i dont think i learned that

Answer 6

I gotta go soon, fyi

Answer 7

you havent? then i'll do my best!

Answer 8

ok i just need to finish this then id be ok

Answer 9

so the big one is just like the small one except it's bigger

Answer 10

so I can say that the ratio of:
\[\frac{a}{b}=\frac{A}{B}\]

Answer 11

so then I can apply this to the problem
let
a=x+8
b=4x+3
A=4x+3
B=187

Answer 12

plug these into the ratio, and we get:

\[\frac {x+8}{4x+3} = \frac{4x+3}{187}\]

Answer 13

now we can solve for 'x'

Answer 14

this is the only way I know how to solve this, but there might be an easier way that you have learned or will learn in class. ^_^

Answer 15

ok, i think i can figure this one out