for which segment lengths is ln parallel to xy ?
select parallel or not parallel for each set of given information.

Step-by-step explanation:

The two lines are parallel in the triangle if they satisfy the basic proportionality theorem that  is:

Now, different segments lengths are given as:

(A) LX=2, XM=7, NY=4 and YM=14

Applying the basic proportionality theorem,

Hence, The line segment LN is parallel to XY.

(B) LX=2, XM=6, NY=3 and YM=9

Applying the basic proportionality theorem,

Hence, The line segment LN is parallel to XY.

(C) LX=2, XM=3, NY=4 and YM=7

Applying the basic proportionality theorem,

Hence, The line segment LN is not parallel to XY.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: