Pls as soon as ! will award brainliest and 20 ! also the answer is not 22.5 degrees! find the value of x in each case:

x=0.392 radians

Step-by-step explanation:

Since DE is parallel to AB, then ∠DEA=∠EAB=2x (Alternate angles).            (1)

Also, ∠FEB+∠AEB=180°(Straight line property)

⇒4x+∠AEB=180°

⇒∠AEB=180°-4x                                                           (2)

Also, ∠EBA+∠EBC=180°

⇒∠EBA=180°-6x                                                           (3)

Now, using equations (1), (2) and (3) and the angle sum property in ΔABE, we get

∠EAB+∠AEB+∠EBA=180°

2x+180°-4x+180°-6x=180°

⇒360°-8x=180°

⇒180°=8x

⇒x=22.5°

⇒x=0.392 radians

which is the required value of x.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0