Answer:
x=5
Step-by-step explanation:
If the sum of the measures of angle M and R is 90 degrees, and you know that angle R is 55 degrees, subtract angle R from the total angle. Then, solve for M
90 - 55 = 35
5x + 10 = 35
5x = 25
x = 5
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When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
9/8 divided by 3/8 is 3 (because of the same denominator look at the first number)
3/5 divided by 2/3 is 0.9 hope this helps