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vladimir2022 [97]
3 years ago
6

What is 14: x :: 28:7

Mathematics
1 answer:
disa [49]3 years ago
4 0
What is 14:x= 28:7 ? The answer is x=7/2=3.500
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Triangle M was dilated by a scale factor of 1.2 to form triangle M. How does the area of triangle M'
GrogVix [38]

Answer:

The area of triangle M is 1.44 times the area of triangle M.

Step-by-step explanation:

From Geometry we remember that the area formula of the triangle is:

A = \frac{1}{2}\cdot b\cdot h (1)

Where:

b - Base of the triangle, dimensionless.

h - Height of the triangle, dimensionless.

A - Area of the triangle, dimensionless.

The dillation of the triangle by a scale factor means that:

A' = \frac{1}{2}\cdot b'\cdot h' (2)

b' = k\cdot b (3)

h' = k\cdot h (4)

Where:

b' - Dilated base of the triangle, dimensionless.

h' - Dilated height of the triangle, dimensionless.

A' - Dilated area of the triangle, dimensionless.

k - Dilation factor, dimensionless.

If we know that k = 1.2, then the area formula for the dilated triangle is:

A' = \frac{1}{2}\cdot (k\cdot b)\cdot (k\cdot h)

A' = k^{2}\cdot \frac{1}{2}\cdot b\cdot h

A' = k^{2}\cdot A

Therefore, the area of triangle M is 1.44 times the area of triangle M.

3 0
3 years ago
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