Answer:
The area of triangle ACE before dilation is: 30 square inches
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The length of the image can be determined by multiplying the length of the original point by a certain scale factor.
Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.
Thus, it means the dilated area is 6 times the area before dilation.
Let x be the pre-dilation area
As the dilated area is 6 times the area before dilation, so
6x = 180
divide both sides by 6
6x/6 = 180/6
x = 30 square inches.
Therefore, the area of triangle ACE before dilation is: 30 square inches
Answer:
Train A = 128
Train B = 68
Step-by-step explanation:
We can set up a system of equations for this problem
Let A = # of tons of Train A
Let B = # of tons of Train B
A + B = 196
A = B + 60
Now, we plug in A for the first equation, using substitution
(B+60) + B = 196
2B + 60 = 196
Subtract 60 from both sides
2B = 136
Divide both sides by 2
B = 68
Plug in 68 for B in the 2nd equation
A = 68 + 60
A = 128
Checking work: 128 + 68 = 196 :D hope this helped
Answer:
i would tell you but what are the options if you tell me that ill gladly help you out
Step-by-step explanation:
would it be 25.3 or just 25
Answer:

Step-by-step explanation:
If you don't know how to divide polynomials then I can help with that too or you can just search it up
Answer:
54
Step-by-step explanation:
4.5 ×12 and then you get the answer