This is a same side interior angle, which means that the two angles, when added, will equal 180°
y + 72 = 180
Isolate the y, subtract 72 from both sides
y + 72 (-72) = 180 (-72)
y = 180 - 72
y = 108
A) 108°, is your answer
hope this helps
(132 min)/(12 mi) = (t)/(66 mi)
t = (66 mi)*(132 min)/(12 mi) = 726 min
It will take the bicyclist 726 minutes to travel 66 miles.
"Completing the square" is the process used to derive the quadratic formula for the general quadratic ax^2+bx+c=0. Suppose you did not know the value of a,b, or c of the quadratic...
ax^2+bx+c=0 You need a leading coefficient of one for the process to work, so you divide the whole equation by a
x^2+bx/a+c/a=0 now you move the constant to the other side of the equation
x^2+bx/a=-c/a now you halve the linear coefficient, square that, then add that value to both sides, ie, (b/(2a))^2=b^2/(4a^2)...
x^2+bx/a+b^2/(4a^2)=b^2/(4a^2)-c/a now the left side is a perfect square...
(x+b/(2a))^2=(b^2-4ac)/(4a^2) now take the square root of both sides
x+b/(2a)=±√(b^2-4ac)/(2a) now subtract b/(2a) from both sides
x=(-b±√(b^2-4ac))/(2a)
It is actually much simpler keeping track of everything when using known values for a,b, and c, but the above explains the actual process used to create the quadratic formula, which the above solution is. :)
To solve this, subtract 6 from both sides of the greater than sign to get..
x is greater than -4
