How to find the scale factor of two triangles
1 answer:
Answer:
Here's how to do it.
Step-by-step explanation:
The two triangles must be similar, that is, corresponding angles must be equal, as in the diagram below.
1. Find a corresponding pair of sides
Assume that ∆ABC is the original and ∆DEF is its scaled image.
Then, AB and DE are corresponding sides, with lengths of 8 and 12 units , respectively.
2. Set up a ratio
Ratio = side length in image/side length in original = 12/8
3. Simplify the ratio
The simplified ratio is the scale factor (SF).
SF = 12/8 = 3/2 = 1.5
The scale factor is 1.5.
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Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,
or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5