What must be true for lines a and b to be parallel lines? check all that apply

the question does not present the options, but this does not interfere with the resolution

we know that

if a and b are parallel lines

so

1) m∠2=58°> by corresponding angles

2) m∠1=4x-10> by alternate exterior angles

3) [m∠2+m∠(3x-1)]+m ∠1=180°> by supplementary angles

58+(3x-1)+4x-10=180

7x=180-47

7x=133

x=19°

4) angle (4x-10)=-4*19-10> 66°

5) angle 3x-1=3*19-1> 56°

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

answer: 88

step-by-step explanation: