What is the measure of arc ea? a. 21 b. 36 c. 30 d. 51

The correct option is C. 30°

Step-by-step explanation:

Construction : Join OB and OA

Now, m∠ECB = 51°

Now, ∠ECB and ∠EOA are formed on the same base

⇒ m∠EOA = 2 × m∠ECB

⇒ m∠EOA = 2 × 51°

⇒ m∠EOA = 102°

Now, Angle in the arc = Angle formed by the arc at the center

⇒ m∠AOB = measure of arc AB

⇒ m∠AOB = 72°

Now, m∠EOA = 102° - 72°

⇒ m∠EOA = 30°

Since, Angle in the arc = Angle formed by the arc at the center

⇒ Measure of arc EA = measure of the angle EOA

⇒ Measure of arc EA = 30°

Therefore, The correct option is C. 30°

(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