What is the value of x?

x=95 degrees

Step-by-step explanation:

All of the angles in a triangle add up to 180, so 45+50+(180-x)=180.

Open the parenthesis, and you get 45+50+180-x=180.

Then subtract 180 from both sides, so 45+50-x=0.

Simplify that to 95-x=0, and add x to both sides.

x=95

Also, you can use exterior angles theorem, which states that 45+50=x.

That's the shorter way.

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.