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DanielleElmas [232]
3 years ago
10

Geologists have long recognized that earthquakes are not randomly distributed on Earth but occur in concentrated areas that coin

cide with __________ and provide evidence for the theory of ___________ .
A) mountain ranges; fault zones.
B) plate boundaries; plate tectonics.
C) continental borders; supercontinents.
D) areas of liquid magma; sea floor spreading.
Geography
1 answer:
mel-nik [20]3 years ago
8 0
B) plate boundaries ; plate tectonics
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Why might a dictator want to be in power?
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Explanation:

Dictators may rise to power in a democracy through several ways. One way is the result of political polarization, where the competing political sides no longer want to cooperate with one another, allowing violent or extremist groups to take over politics instead.

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4 0
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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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