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
[tex]k=\dfrac{PQ}{AB}[/tex]
[tex]k=\dfrac{7}{4}[/tex]
The scale factor of triangle ABC to triangle PQR is [tex]\dfrac{7}{4}[/tex].
The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides.
[tex]\dfrac{\text{Perimeter of }\Delta ABC}{\text{Perimeter of }\Delta PQR}=\dfrac{AB}{PQ}[/tex]
[tex]\dfrac{\text{Perimeter of }\Delta ABC}{\text{Perimeter of }\Delta PQR}=\dfrac{4}{7}[/tex]
[tex]\dfrac{\text{Perimeter of }\Delta ABC}{\text{Perimeter of }\Delta PQR}=4:7[/tex]
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.
[tex]\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=\dfrac{AB^2}{PQ^2}[/tex]
[tex]\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=\dfrac{4^2}{7^2}[/tex]
[tex]\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=\dfrac{16}{49}[/tex]
[tex]\dfrac{\text{Area of }\Delta ABC}{\text{Area of }\Delta PQR}=16:49[/tex]
Therefore, the ratio of the areas is 16:49.
At which plate boundary would you find an oceanic crust colliding with a continental?
Answer:
Subduction zones
Explanation:
When oceanic crust converges with continental crust, the denser oceanic plate plunges beneath the continental plate. This process, called subduction, occurs at the oceanic trenches. The entire region is known as a subduction zone. Subduction zones have a lot of intense earthquakes and volcanic eruptions.
How does fourth industrial revolution affect?
Answer:
fourth industrial revolution affect by reducing the road fatalities and insurance costs, and carbon emissions. This driving innovation across growing numbers of products and services, and the more data you have, the better the predictions get.Machine learning algorithms can analyze these billions of transactions and variables to make businesses smarter. They can help businesses anticipate trends in consumer demands, personalize promotions for individual customers, and optimize pricing. But sometimes There are some hefty moral and ethical implications for many things.
Explanation:
A scientist claims that Fabric A is better able to resist fire than Fabric B.
Which option describes an experiment that will produce evidence that will
support or refute her claim?
Answer: Hold each type of fabric over a candle flame and time how long it takes for the fabric to start to burn
Explanation: add my on snap it’s “imepzy”
Answer:
hold each fabric over...
Explanation:
here you go
In △ABC, m∠CBD = 80. What is the measure of ∠CAD
Answer: <CAD = 100
Explanation:
180 - 80 = 100
influence of drought on de economy
in which layer of the atmosphere do the radio wave signals bounces off? Explain the importance of this characteristic to use
Answer:
the ionosphere. This layer bounces radio transmissions from earth keeping us connect through the radio all over the earth.