Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.
Let's look at the first equation.
3y = 5x - 1
y = 5/3 y - 1/3
This line has slope 5/3. A line perpendicular to it has slope -3/5.
The second line is y = -3/5 x + 9.
Its slope is indeed -3/5, so the second line is perpendicular to the first one.
There is an infinite number of lines perpendicular to any given line. You concluded correctly that the two lines in this problem are perpendicular based on the fact that their slopes are negative reciprocals. The second line, y = -3/5 x + 9, is only one line that is perpendicular to the first line. There is an infinite number of lines perpendicular to the first line. All the perpendicular lines have the slope -3/5 and different y-intercepts. The +9 here is just the y-intercept of this specific perpendicular line. Since there is an infinite number of y-intercepts, there is an infinite number of perpendiculars.
Answer:
30 meters
Step-by-step explanation:
If she ran for 5 seconds, 6 meters per second. All you do is 5x6 and you get 30
Answer:
50°, 130°
Step-by-step explanation:
All measures are in degrees. Let x represent "one angle". Then the other is (180-x) and we can write the relation ...
3x = 20 +(180 -x)
4x = 200 . . . . . . . add x, collect terms
x = 50 . . . . . . . . . . one angle
180 -50 = 130 . . . .the other angle
The measures of each angle are 50° and 130°.
Answer:
340
Step-by-step explanation:
last time I got this type of question, I either just multiplied it or sum, try doing different methods if u can because I got this question right and I forgot how I did it, but I feel like I multiplied something
