Rhombus

a. Determine what type of triangle PNA is and how do you know?

_why_

b. Determine what type of triangle PEL is and how do you know?
_why_

 (a) isosceles  (b) right

Step-by-step explanation:

(a) All sides of a rhombus are congruent → PN = AN

   Therefore, ΔPNA has two congruent sides so is ISCOSCELES

(b) The diagonals of a rhombus are perpendicular (equal to 90°)

    Therefore, ∠PEL = 90° so ΔPEL is a RIGHT triangle

(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

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: