Unless otherwise specified we usually assume the dilation is about the origin. That is you can tell the scale factor by the way the distance to the origin changes.
Point C, for example, is 6 units from the origin. Its image, C' is 4 units from the origin. Then the scale factor image/original is 4/6 = 2/3.
Your green question mark gets filled with 3 to make the fraction 2/3.
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To find the translation, pick any point on A'B'C' and find the corresponding point A'', B'', or C''. Count the squares you have to go left to get from A' to A'', for example. That will be 5 to the left. Similarly, count the squares you have to go down to get from A' to A''. That will be 4 down.
Answer:
65 degrees
Step-by-step explanation:
Break the parallelogram up into two triangles. Angle E is 70 degrees and 45 degrees because of the property of equal opposite angles. So E 45 degrees Y 70 degrees and if you add the two up you get 115 degrees. There are 180 degrees in a triangle, so 180-115=65.
In the equation y=mx+b, the variable m represents the slope of the line. Therefore, the equation -5x+2y=10 can be rearranged into 2y=5x+10. Isolate the y to get y=2.5x+5. The slope of the line is 2.5
Answer:
6/7
Step-by-step explanation:
multiply the 1 by 6 and put that over 7
A^2+b^2=c^2
24^2+b^2=26^2
576+b^2=676
-576. -576
b^2=100