In the diagram, what is the measure of angle 1? (image below) a. 15° b. 45° c. 135° d. 125°

3x + 9x = 180

12x = 180

x = 15

Angle 1 = 3x

3(15) = 45

B. 45°

T he answer is B 45 degrees

explanation

set up an equation

3x + 9x = 180

solve for x

x = 180/12 = 15

so, the angle 9x is 135 degrees

angle 1 is supplementary so, :

<1 = 180 - 135 = 45

(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

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.