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Sholpan [36]
3 years ago
10

This region of rocky, shrub covered soil is covered in permafrost for most of the year and is not suitable for agriculture (farm

ing). It is one of the most mineral rich regions of North America?​
Geography
1 answer:
marin [14]3 years ago
3 0

Answer:

This region of rocky, shrub covered soil is covered in permafrost for most of the year and is not suitable for agriculture (farming). It is one of the most mineral rich regions of North America?​

Explanation:

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Explanation:

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9. Given similar triangles ABC and PQR with AB = 4 and PQ = 7.
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Given:

Similar triangles ABC and PQR with AB = 4 and PQ = 7.

To find:

The scale factor, ratio of perimeters, and ratio of areas.

Solution:

In similar figures the scale factor is the ratio of side or image and corresponding side of original figure.

In similar triangles ABC and PQR, the scale factor is

k=\dfrac{PQ}{AB}

k=\dfrac{7}{4}

The scale factor of triangle ABC to triangle PQR is \dfrac{7}{4}.

The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides.

\dfrac{\text{Perimeter of }\Delta ABC}{\text{Perimeter of }\Delta PQR}=\dfrac{AB}{PQ}

\dfrac{\text{Perimeter of }\Delta ABC}{\text{Perimeter of }\Delta PQR}=\dfrac{4}{7}

\dfrac{\text{Perimeter of }\Delta ABC}{\text{Perimeter of }\Delta PQR}=4:7

The ratio of the perimeters is 4:7.

The ratio of the areas of similar triangles is equal to the ratio of squares of their corresponding sides.

\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=\dfrac{AB^2}{PQ^2}

\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=\dfrac{4^2}{7^2}

\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=\dfrac{16}{49}

\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=16:49

Therefore, the ratio of the areas is 16:49.

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