Law of cosine is :
c^2<span> = a^</span>2<span> + b^</span>2<span> − 2ab cos(theeta)
</span>so in case of right triangle , angle is 90 degree:
putting 90 degrees into formula:
c^2 = a^2 + b^2<span> − 2ab cos(90)
</span>As we know that:
cos90 = 0
c^2 = a^2 + b^2<span> − 2ab (0)
</span>c^2 = a^2 + b^2<span> - 0
</span>c^2 = a^2 + b^2 ( this is <span>pythagorean theorem ).
</span>So the above statement is True.
X=3
Just look at where the two lines intercept and see the x value
If I'm correct ABC, EDC are congruent If the corresponding figure DE was Increased by 175 ft it would no longer be congruent
6x^2+12x=0 Factor out the greatest common factor which is 6x
6x(x+2)=0
So the there are two solutions, when x=0 and x=-2
The points are, (0,0) and (-2,0)
And they expressed it as {0, -2}
Total = 102
probability of getting a white gumball
= 22/102