Answer:
Step-by-step explanation:
I hope this helps you, I detailed the answer as much as possible to hopefully help you understand.
Here you go:
Triangle ABC is dilated to form triangle A'B'C' with a scale factor of 3.7. To find the length of segment A'B', you need to understand that dilating a shape means to enlarge or reduce it by a certain factor. In this case, the scale factor is 3.7.
To calculate the length of segment A'B', you can use the formula:
Length of A'B' = Scale factor * Length of AB
Given that the length of AB is 8, you can substitute these values into the formula:
Length of A'B' = 3.7 * 8
Length of A'B' = 29.6
Therefore, the length of segment A'B' in triangle A'B'C' is 29.6 units when rounded to the nearest hundredth.
Hope this goes well with you!
Triangle ABC has been dilated to create triangle A'B'C' with a scale factor of 3.7. To find the length of segment A'B', we need to consider the relationship between the lengths of corresponding sides in similar figures under dilation. When a figure is dilated by a scale factor, the corresponding sides are proportional. In this case, segment A'B' corresponds to segment AB. Since the scale factor is 3.7, the length of segment A'B' can be found by multiplying the length of segment AB by the scale factor (3.7). Let's assume the length of segment AB is 'x'. Therefore, the length of segment A'B' would be: Length of A'B' = Scale factor × Length of AB Length of A'B' = 3.7 × x Length of A'B' = 3.7x To find the length of A'B', you need to know the length of segment AB. Once you have the length of AB, you can multiply it by 3.7 to get the length of A'B'. Remember to round your answer to the nearest hundredth as requested in the question. Therefore, if you know the length of segment AB, you can multiply it by 3.7 to find the length of segment A'B' in triangle A'B'C'.
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