After the collapse of the Soviet Union in 1991,Eastern Europe began to transition toward Western European ideals. Eastern Europe has been shifting toward democratic governments, open market economies, private ownership, and the EU rather than the old Soviet Union.

7 0

3 years ago

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.

7 0

2 years ago

I need help on number 2

Wittaler [7]

No the answer is h because many Muslims used to trade with those regions and eventually, their religion became the most practised one in the archipelago

8 0

3 years ago