An angle is twice its supplement. find the measure of the angles

120°

Step-by-step explanation:

Let the angle be x then twice it's supplement is 2(180 - x)

Equating the two gives

2(180 - x) = x ← distribute the parenthesis on the left side

360 - 2x = x ( subtract x from both sides )

360 - 3x = 0 ( subtract 360 from both sides )

- 3x = - 360 ( divide both sides by - 3 )

x = 120

The angle is x = 120°

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

loloo

step-by-step explanation:

lololool