I did problems like that by marking the coordinates. For example it says A was at (2.3), so you’d go over 2 and up 3. Then you’d do the same for points B and C. After that you would connect the dots with lines, and it would show that both triangles are the same size meaning that it couldn’t be a dilation, since that would make the triangle be either bigger or smaller in size. The triangles would be facing the same direction, so it couldn’t be reflected over anything or rotated. The answer would be D) translation, because the image of the triangle was translated to the right 2 and up 2 for all of the points.
Answer:
2000
Step-by-step explanation:
A(m) = 100 + 0.20m
B(m) = 80 + 0.3m
---------------------------
For company A to have a better deal, the truck must be driven more than __ miles per day.
Solve::
100 + 0.2m < 80 + 0.3m
-------
20 < 0.1m
m > 2000/1 = 2000 miles
---------------
2500 mi
9/10n + 6 = 51
9/10n = 51 - 6
9/10n = 45
n = 45 * 10/9
n = 450/9
n = 50
Answer:
450 students
Step-by-step explanation:
Let s = number of students
1/2 are Americans 1/2s are Americans
s -1/2s = number of students left
1/2 s = number of students left
1/3 of the students left are Europeans
1/3 (1/2s) = 1/6s are Europeans
The rest are Australians = 150
Students = Americans + Europeans + Australians
s = 1/2s + 1/6s + 150
Combine like terms
s = 1/2*3/3 *s + 1/6s +150
s = 3/6s + 1/6s +150
s = 4/6s + 150
Subtract 4/6s from each side
s -4/6s = 150
6/6s - 4/6s = 150
2/6s = 150
1/3s = 150
Multiply each side by 3
3* 1/3s = 150*3
s = 450
There are 450 students
