In the diagram r || s. find the measure of 1

A.

Step-by-step explanation:

We have been given image of two parallel lines r and s cut by a transversal t. We are asked to find the measure of angle 1.

We can see from our given diagram that the angle that measures 30 degrees is corresponding angle to the supplementary angle of 1. So angle that measures 30 degrees will be supplementary angle of angle 1.

Since supplementary angles add up-to 180 degrees, so we can set an equation as:

Therefore, the measure of angle 1 is 150 degrees and option A is the correct choice.

150

Step-by-step explanation:

<1 and 30 are supplementary angles. since r and s are parallel

<1 + 30 = 180

Subtract 30 from each side

<1 +30-30 = 180-30

<1 = 150

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

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316