Katie is working on a blueprint for a fence she is designing. she will need to construct parallel lines to ensure that the second slat is parallel to the first. which step will katie need to do first to ensure that the second slat is parallel to the first slat in the diagram below?
a line
draw a second line using a straightedge so that it intersects the first.
draw a second line using a straightedge so that it is parallel to the first.
create two arcs above the line using a compass.
create arcs above and below the line using a compass.

Describe the relationship between the angles of similar triangles and the sides of similar triangles

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

There are a total of 75 students in the robotics club and science club. the science club has 9 more students than the robotics club. how many students are in the science club?