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:
The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 )
Step-by-step explanation:
Given as :
The two algebraic equation is
y = 2 x - 4 .......A and y = - x + 5 ........B
The given two algebraic equation can be solved by putting the one variable to the other equation
Now , put the value of y from Eq A into the Eq B
I.e 2 x - 4 = - x + 5
or, 2 x + x = 5 + 4
or, 3 x = 9
∴ x = 
I.e x = 3
So The value of x = 3
Again, put the value of x in the equation A
I.e y = 2 x - 4
or, y = 2 × 3 - 4
∴ y = 6 - 4
I.e y = 2
So The value of y = 2
So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )
Hence The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 ) Answer
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