The scale factor of the dilation from ABCD to A′B′C′D′ is 3.
Explanation:
- In the smaller rectangle, ABCD the length of the rectangle is 4 - 1 = 3 units, while the width of the rectangle is 5 - 1 = 4 units. For the larger rectangle, A′B′C′D′ the rectangle's length is 12 - 3 = 9 units and the rectangle's width is 15 - 3 = 12 units.
- To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it can either be the rectangle's length or width. So the scale factor = = = 3. While the scale factor for width = = = 3.
- So the rectangle ABCD is dilated by a scale factor of 3 to produce rectangle A′B′C′D′.
Answer:
Step-by-step explanation:
A+B+C=180
2x+x+90=180 ( the 90 comes from the right angle in the given triangle)
3x=90
x=30°
:) these are all kinda the same strategy.. notice?
Answer:
Take 7.1-4.9=x
Step-by-step explanation:
I: x-2y>=8
II:2x+y<=3
start by isolating y on a side
with I:
x-2y>=8
-2y>=8-x
2y<=x-8
y<=x/2-4
with II:
2x+y<=3
y<=-2x+3
now you can draw I' and II' and read of the solutions with the graph.
transform the inequalities into lines in slope intercept form by replacing the inequality with equality:
y<=x/2-4
->
y=x/2-4
y<=-2x+3
->
y=-2x+3
look at the inequalities to figure out if the area above or below is valid for each line (y<=... -> area below is valid->colored in the attached image)
the area in which all areas overlap is the solution space.
-p^2 + 4p - 4. I hope this helps. :)