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,
[tex]\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Corresponding side of original figure}}[/tex]
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.
[tex]4=\dfrac{P'Q'}{PQ}[/tex]
It is given that PQ=3.
[tex]4=\dfrac{P'Q'}{3}[/tex]
Multiply both sides by 3.
[tex]4\times 3=P'Q'[/tex]
[tex]12=P'Q'[/tex]
Therefore, the length of the image segment P'Q' is 12 units.
A segment in the image is proportionally longer or shorter than the corresponding one in the pre-image.
The length of the image segment P′Q′
Given Information:
O, P, and Q be distinct collinear points with PQ=3.Dilation from point O with scale factor 4.Solution:
Scale factor=Side length of image/corresponding side of original figure
Segment P'Q' is the image of segment PQ and the scale factor is 4.
4=P'Q'/ PQ
It is given that PQ=3
4=P'Q'/3
Multiply both sides by 3.
4*3=P'Q'
12=P'Q'
Therefore, the length of the image segment P'Q' is 12 units.
Learn more about segment, refer to the link:
https://brainly.com/question/18104026
Technology is rarely responsible for cultural change true or false
Answer:
FALSE
Explanation:
I'd say the answer is FALSE, mainly because technology influences everyday life and has a strong influence on culture. Technology is incorporated in all aspects of culture including travel, food, government, and art. Technology shapes different cultures and differentiates one from another. It allows us to intermix.
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What is the climate of Central America
Answer:
Temperatures in Central America are highest just prior to the summer wet season, and are lowest during the winter dry season, when trade winds contribute to a cooler climate. The highest temperatures occur in April, due to higher levels of sunlight, lower cloud cover and a decrease in trade winds.
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Explanation:
the layer of the sun atmospher that looks like a halo during an eclips
Answer:
I think it's corona.
You take a trip to Hawaii on vacation, and you have always dreamed of sitting on the beach exposed to a nice warm tropical sun with few rainy days. What direction would this ideal beach face
Answer:
southwest
Explanation:
when you trip for Hawaii and sitting on beach in rainy day with exposed to a nice warm tropical sun. So, ideal beach face is rain shadow direction faces the southwest. so correct answer is southwestDescribe Name and describe Earth's seasons.
Answer:
Summer, Winter, Fall, Spring
Explanation:
is the Sahara desert affected by cold ocean currents. If not please explain why. Thank you!
Answer:
the Sahara desert IS affected by cold ocean currents.
Explanation:
In what year did the us gain independence?
Answer:
July 4th, 1776
Explanation:
Points O, P, and Q are not collinear and form ∠POQ. Point R is on OP−→− between points O and P. Line l passes through R parallel to PQ¯¯¯¯¯¯¯¯. Line l intersects OQ−→− at point S. Use paper to draw a diagram to represent the situation described.
Which other pairs of segments have lengths in the same ratio as RS to PQ? Select all that apply.
Answer:
The answer is below
Explanation:
Two triangles are said to be similar to each other if the ratio of their corresponding sides are in the same proportion.
Given triangle ORS and triangle OPQ. ∠ROS = ∠POQ
∠ORS = ∠OPQ (corresponding angles are equal). Also, ∠OSR = ∠OQP (corresponding angles are equal)
Therefore using angle angle similarity theorem, we can say triangle ORS is similar to triangle OPQ.
Therefore:
ratio of RS to PQ = ratio of OR to OP = ratio of OS to OQ