1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maslowich
3 years ago
10

Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

al) of the perimeters? the areas?
The ratio of the perimeters is ___.

The ratio of the areas is ___.

Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer:

Part a) The ratio of the perimeters is 3

Part b) The ratio of the areas is 9

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

z=\frac{x}{y}

we have

z=3

substitute

\frac{x}{y}=3

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

z^{2}=\frac{x}{y}

we have

z=3

substitute

\frac{x}{y}=3^{2}

\frac{x}{y}=9}

You might be interested in
Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x
vichka [17]

Answer:

The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.

4 0
2 years ago
How to subtract percentages that are fractions
natali 33 [55]
"you can convert the percent to a fraction or decimal. While you might need to subtract a percent from a percent when working in finance, if you are working on homework you more likely will come across problems where you need to subtract a percent from a whole number."
8 0
3 years ago
Alyssa sold half of her comic books and then bought 8 more. She now has
Kobotan [32]

Answer:

8 Books

Step-by-step explanation:

First find how many she had before buying 8 more-

12 - 8 = 4

Then multiply that by 2

4 x 2 = 8

The had 8 books to begin with

5 0
2 years ago
What is the answer <br> How do you solve it
stich3 [128]

Answer:

-50y+(-80)

Step-by-step explanation:

3 0
2 years ago
A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i
balandron [24]

Answer:

You don’t need help


Step-by-step explanation:


7 0
3 years ago
Other questions:
  • At the North campus of a performing arts school 30% of students are music majors at the South campus 80% of the students are mus
    15·1 answer
  • 00.25 divided by 0.07
    15·2 answers
  • Jimmy has 50 candies. He ate 24. How much does he have left?
    5·1 answer
  • The measures of the angles of ABC are given by the expressions in the table A( 6X - 1 ) ° B 20° C ( x + 14 ) ° what are the meas
    10·1 answer
  • Dennis drew a diagram of a go-cart he is planning to build. All of the measurements in the diagram use the scale of 1 inch = 16
    14·1 answer
  • Can someone help me its urgent:( ??
    8·1 answer
  • Find the missing number of each unite rate 10/2=?/1 16/4= ?/1
    8·1 answer
  • What is /-3/*-6?<br><br> When you answer could you please explain to me why the answer is that?
    10·1 answer
  • If p is a true statement and q is false, then pv g is true.<br> True<br> False
    13·1 answer
  • Which must be true in order for the relationship
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!