In the polygon ABCD, the production of point A' and point D' is (-2,-2) and (4,-2) respectively.
<h3>What is the transformation rule?</h3>
In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:
where;
From the given information:
- The scale factor = 2
- the origin as a center of dilation for image vertices = (0, 0)
Now, using the coordinate vertices:
The corresponding coordinate of the image vertices is as follows:
A(-1,-1) → A'(2 × (-1), 2 × (-1))
A' = (-2,-2)
D(2,-1) → A'(2 × (2), 2 × (-1))
D' = (4,-2)
Learn more about the transformation rule in coordinate planes here:
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All angles in a triangle always equal 180 degrees, so to solve this problem you must set 8,3,4 equal to 180. 8x + 3x + 4x = 180. 15x = 180. 180/15 = 12. x = 12. Now you take the value of x and multiply it by the angle you are trying to find. 3(12) = 36.
The measure of the smallest angle is 36.
To check this problem, multiply all the angle ratios by the x value and if it equals 180, it is correct. 8(12) + 3(12) + 4(12) = 180.
Answer:
I think you mean ‘repetition’ of digits is not allowed when you say ‘terrain' of digits is not allowed. If it is so, I will proceed further.
Three digit numbers have Hundreds place, Tens place and Units place. There are six digits, 1,2,3,4,5 and 6 are available. The Hundreds place can be filled up by any one of these 6 digits and can therefore be filled up in 6 ways. Since repetition of digits is not allowed we are left with 5 digits to fill up the Tens place. So Tens place can be filled up in 5 ways. Using the same argument we can fill up the Units digit in 4 ways. Hence we can form (6)(5)(4) = 120 numbers of three digits using the digits 1,2,3,4,5,6 without repetition.
Step-by-step explanation:
