Triangle $abc$ is isosceles with angle $b$ congruent to angle $c$. the measure of angle $c$ is four times the measure of angle $a$. what is the number of degrees in the measure of angle $b$?

the number of degrees in the measure of angle B is 36 degrees

Step-by-step explanation:

Triangle $ABC$ is isosceles with angle $B$ congruent to angle $C$. This means that angle B is equal to angle C. Let x represent the size of angle B and angle C.

The measure of angle $C$ is four times the measure of angle $A$. This means that angle A = 4x

The sum of the angles in a triangle is 180 degrees. Therefore

x + x + 4x = 180

5x = 180

x = 180/5 = 36

15

step-by-step explanation:

(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