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
Leni [432]
2 years ago
9

The sides of a polygon are 3, 5, 4, and 6. The shortest side of a similar polygon is 9. Find the ratio of their perimeters.

Mathematics
2 answers:
Solnce55 [7]2 years ago
7 0

Answer:

The answer is \frac{1}{3}

Step-by-step explanation:

In order to determine the answer we have to know about similar polygons.

Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional.

So, if two sides are proportional, where "a" is the lenght of the first polygon and "b" is the lenght of the second polygon, the ratio of these sides is:

\frac{a}{b}=k

k is a rational number.

Applying the proportionality:

First polygon: its sides:

3

4

5

6

Second polygon: its sides:

9

x

y

z

These polygons are similar, so

\frac{9}{3}=k\\ k=3

So, "x","y" and "z" values are:

\frac{x}{4} =k=3\\x=4*3\\x=12\\\\\frac{y}{5}=k=3\\y=5*3\\y=15\\\\\frac{z}{6}=k=3\\z=6*3\\z=18

Finally, the perimeter is the sum of the sides of the polygon, so the ratio of their perimeters is:

P1=Perimeter first polygon

P2=Perimeter second polygon

r=Ratio of their perimeters

P1=3+4+5+6=18\\P2=9+12+15+18=54\\\\r=\frac{P1}{P2}=\frac{18}{54}=\frac{1}{3}

Rainbow [258]2 years ago
3 0
The given polygon has a perimeter of 3 + 5 + 4 + 6 = 18
A similar polygon has sides that are 3 times as big ot 9 + 15 + 12 + 18 = 54

The ratio is 18/54 or 1/3
You might be interested in
If 75% of a budget is $270, what is a full budget
Mariulka [41]

Answer:

I think it's 1789 but I'm not completely sure

4 0
3 years ago
Can someone please answer this?
finlep [7]

ANSWER

it is the one that is highlighted Yellow

f=±✓de/4e

photo is how you do the work

8 0
2 years ago
PLS HELP ASAP
Radda [10]

Answer:

25% of the length is 7.5 (seven and five tenths) feet

Step-by-step explanation:

25% of 30

3 0
2 years ago
Eight is added to a number and the sum is doubled, the result is -11 less than the number. Find
inna [77]
If you don’t know what a number is, you should substitute it for x and make an equation with the information you have been given. This gives:

(x + 8) x 2 = x - 11

Then, solve:

2x + 16 = x - 11

2x = x -27

x = -27

This can then be checked by using the number in the original text.

-27 + 8 = -19

-19 x 2 = -38

-38 is 11 less than -27.

Hope this helps :)
3 0
3 years ago
A cereal box has a height of 32 cm. The base has 160 square cm what is the volume in cubic cm of the box
ruslelena [56]
Hello There!

All you really need to do is multiply 160 with 32.

160 × 32 ≈ 5120 

5120 cm

Hope this helped!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find X <br> Plz I'm on a hurry
    10·1 answer
  • Is 1/3 lap per minute a unit rate
    6·1 answer
  • 1)n/5=-10 How do we answer this question
    5·1 answer
  • What is a + 1/10 = 5/10 (need fast)
    11·2 answers
  • Can you think of any other real-life scenarios where parallel lines and transversals<br> exist ?
    11·2 answers
  • Find the distance between the points (11, 4) and (10, 5). 1 2
    15·1 answer
  • Need help finding equation
    5·1 answer
  • A giant fish tank at the zoo contains z Halibut. The tank contains 4
    6·1 answer
  • 9x two the second power = 1
    15·2 answers
  • Answer please and thank you
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!