Which of the following describe an angle with a vertex at e? check all that apply. a. def b. dfe c. fed d. efd

 The correct options are

(A) DEF.

(C) FED.

Step-by-step explanation:  We are given to select the correct options that describes an angle with a vertex at E.

We know that

while writing the name of an angle, we always write the vertex in the middle and the points on the two legs of the angle are written on the two sides, left and right.

Option (A):  DEF.

Since the vertex E is written in the middle and the points D and F on the two legs ED and EF are written on the left and right side respectively,

so DEF describes an angle with vertex E.

Option (B):  DFE.

Since the vertex E is not written in the middle, so DFE does not describes an angle with vertex E.

Option (C):  FED.

Since the vertex E is written in the middle and the points F and D on the two legs EF and ED are written on the left and right side respectively,

so FED describes an angle with vertex E.

Option (D):  EFD.

Since the vertex E is not written in the middle, so EFD does not describes an angle with vertex E.

Thus, the correct descriptions of an angle with vertex E are DEF and FED. The angle is shown in the attached figure below.

Options (A) and (C) are CORRECT.

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2