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docker41 [41]
3 years ago
10

Ttriangle def is a dilation of triangle abc with scale factor 2. In triangle abc the largest angle measures 82 degree what is th

e largest angle measure in triangle def
Mathematics
1 answer:
dybincka [34]3 years ago
4 0

We have been given that triangle def is a dilation of triangle abc with scale factor 2. In triangle abc the largest angle measures 82 degree and we are asked to find largest angle measure of triangle def.

Since we know that dilation stretches or shrinks the original figure. Dilation does not change or affect angle measure.

Upon dilating our triangle abc by a scale factor of 2 sides of triangle will increase but angles will remain same.  

Therefore, largest angle measure of triangle def will be 82 degrees as well.

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Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.

The average of the numbers is 45, since \frac{10+80}{2}=45. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.

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Step-by-step explanation:

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