A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
Yes you will, 8 + 3 is greater than 9 so you will regroup
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:


+

--------------------------------------



We substitute the value of B into one of the two equations and solve for A.


Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle