Given:
O, P, and Q be distinct collinear points with PQ=3.
P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4.
To find:
The length of the image segment P'Q'.
Solution:
We know that,

P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4. So, Segment P'Q' is the image of segment PQ and the scale factor is 4.

It is given that PQ=3.

Multiply both sides by 3.


Therefore, the length of the image segment P'Q' is 12 units.
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Given what we know, we can confirm that due to Soviet rule, most people in Central Asia speak Russian, but there are numerous other languages and dialects in the region that descend from primarily indigenous roots.
<h3>What is meant by indigenous roots?</h3>
- By indigenous roots, we refer to the ancestors of the current-day civilization of Russia.
- These are the first inhabitants of the land to form civilized groups.
- Russia is home to many indigenous tribes, that have now adapted to modern life.
- However, some aspects of the tribes, such as the languages, remain.
Therefore we can confirm that due to Soviet rule, most people in Central Asia speak Russian, but there are numerous other languages and dialects in the region that descend from primarily indigenous roots.
To learn more about indigenous people visit:
brainly.com/question/582972?referrer=searchResults
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