Here are the options, ! 1.) 32 2.) 18 3.) 1/9 4.) 216

2.) 18

Step-by-step explanation:

We have been given an image of angle EDG and ray DF bisects our given angle. We are asked to find the value of x.        

To solve for the value of x we will use angle-bisector theorem, which states that all point on the angle bisector are equidistant from the sides of the angle.

By angle-bisector theorem length of side EF is equal to GF.

Therefore, the value of x is 18 and 2nd option the correct choice.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft