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3 years ago

6

How long does it take for a glacier to move or change shape

1 answer:

VashaNatasha [74]3 years ago

8 0

Between 50-80 years or even more than 80 sometimes

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4 years ago

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

PilotLPTM [1.2K]

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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Why do astronomers think that galaxy clusters contain more?

Andrej [43]

Hey there,
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</span>
Hope this helps :))

~Top

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