Match the following reasons to the statements given. Given: A B E F is a parallelogram E B | | D C Prove: A C D F is a parallelogram. 1. A B E F is a parallelogram, E B||D C Definition of parallelogram 2. A F||B E, F E||A B Opposite sides of a parallelogram are || 3. A F||C D Transitive 4. F D||A C Given 5. A C D F is a parallelogram. Part of lines F E and A B

See below

Step-by-step explanation:

Added as picture due some issue

ddd

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.