In the figure below, o || k. Find the values of x and z. Х
(sz – 27)
?
78°
Ix
z = 0
Explanation
Check

x = 102

z = 21

Step-by-step explanation:

x and 78 are same side alternate exterior angles, so they are supplementary.

x + 78 = 180

x = 102

5z - 27 and x are a linear pair, so they are supplementary.

5z - 27 + x = 180

5z - 27 + 102 = 180

5z = 105

z = 21

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