Given:
The preimage and image of a triangle in the given figure.
To find:
The dilation scale factor.
Solution:
From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).
The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).
If a figure is dilated by factor K with (0,0) as the center of dilation, then

Let the scale factor be K, then the image of point A is:


From the given figure it is clear that the image of point A is A'(-4,-4).

On comparing both sides, we get



Therefore, the dilation scale factor is 2.
Answer:
Step-by-step explanation:
1/2 * 8 * 15 * x=3360 c^3
x = 56 units
97, 19+(11+37)=19+(48)=67 and then add 30 because of 19 and 11 and you get 97
The possible combinations are:
1,9
2,8
3,7
4,6
9,1
8,2
7,3
6,4
Total straws: 9
Probability of first being 1: 1/9
Probability of second being 9: 1/8
Probability of both: 1/9 x 1/8 = 1/72
This will be multiplied by 8 as there are 8 possible combinations:
8 x 1/72
= 8/72
= 1/9
Answer:
The area of the figure is 36.57.
Step-by-step explanation:
- find the area of the rectangle
6 x 4 = 24
- find area of the half circle
radius = 2
12.57
- add them up
24+12.75= 36.57