Plot a point on the coordinate plane to represent each of the ratio values in the table.

Please check the explanation.

Step-by-step explanation:

Given the table

Time (h)          Distance (km)

    1                              2

    3                             6

    6                            12

    9                            18

As the time (h) is represented on the x-axis and the distance (km) is represented on the y-axis.

We know that the first coordinate of an ordered pair or point (x, y) is called the x-coordinate and the second coordinate is called the y-coordinate.

Thus, from the table, we get the following points:

(1, 2), (3, 6), (6, 12), and (9, 18)

The given points are plotted on the graph attached below.

From the graph, it is clear that:

Point (1, 2)

Point (1, 2) is represented at x = 1 and y = 2.

Thus, at the point (1, 2):

Speed = Distance / Time = 2/1 = 2km per hour

Point (3, 6)

Point (3, 6) is represented at x = 3 and y = 6.

Thus, at the point (3, 6):

Speed = Distance / Time = 6/3= 2km per hour

Point (6, 12)

Point (6, 12) is represented at x = 6 and y = 12.

Thus, at the point (6, 12):

Speed = Distance / Time = 12/6= 2km per hour

Point (9, 18)

Point (9, 18) is represented at x = 9 and y = 18.

Thus, at the point (9, 18):

Speed = Distance / Time = 18/9= 2km per hour

Please check the attached graph.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.