∼efgh

ad=30 in. , eh=50 in. , and cd=15 in.

what is gh ?

GH = 25 in

Step-by-step explanation:

Since the are similar quadrilaterals, their side lengths are in proportion to each other.

Look at the letter ordering, ABCD   and EFGH,   the represent corresponding points in the quadrilateral, so

AB and EF are the same corresponding side of the quadrilateral.  For the first quadrilateral, A is the first letter, B is the second. In the second quadrilateral, E is the first letter, and F is the second.  A corresponds to E, and B corresponds to F.  The rest of the letters correspond the same way

as are CD and GH

So we have a proportion, "30 is to 50 as 15 is to GH"

30/50 = 15/GH  

Solve for GH by cross-multiplying (here GH is one variable)

30GH = 750

   GH = 25

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b