Can you help me with number 1-3 please thank you

9514 1404 393

Step-by-step explanation:

1. Arc DFG and arc DHG complete the circle. The measure of arc DHG is 90° +38° = 128°, so the measure of arc DFG is ...

  360° -128° = 232° = mDFG

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2. Arc GHE is 180°. Arc HE is 38° less than that value, so is ...

  mHE = 180° -38°

  mHE = 142°

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3. The angle at H is half the difference of the intercepted arcs:

  H = (100° -32°)/2 = 68°/2

  H = 34°

(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

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step-by-step explanation: