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]
3 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]3 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]3 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
Choose correct response
Illusion [34]

Answer:

D

Step-by-step explanation:

11.1/0.01=11.1*100=1110

7 0
2 years ago
How does the graph of f(x)=3lx+2l+4 relate to its parent function?
Sergeeva-Olga [200]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}
\end{array}

now, with that template above in mind, let's see this one

\bf parent\implies f(x)=|x|
\\\\\\
\begin{array}{lllcclll}
f(x)=&3|&1x&+2|&+4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}


A=3, B=1,  shrunk by AB or 3 units, about 1/3
C=2,          horizontal shift by C/B or 2/1 or just 2, to the left
D=4,          vertical shift upwards of 4 units

check the picture below

7 0
3 years ago
A machine made 3 1/2 pencils in 1/6 of a minute. It made at a rate of how many per minute?
andrew11 [14]

Answer:

21 per min

Step-by-step explanation:

8 0
3 years ago
Find the mode of the following data set.<br><br><br><br><br><br> a. 31<br> b. 3 and 4<br> c. 1
kati45 [8]

Answer:the mode is b

Step-by-step explanation:

B

4 0
3 years ago
Read 2 more answers
By 3:00 pm, the temperature had increased by another 5%F. Was the temperature at 3:00 pm positive or negative?How do you know?Wh
victus00 [196]

Answer:

Part a) The temperature at noon was -3°F

Part b) The temperature at 3:00 pm was +2°F

Part c) The temperature at 11:00 pm was -6°F

Step-by-step explanation:

The complete question is

When Leo woke up he saw that the temperature was -8°F. By noon the temperature has increased 5°F. Part a) What was the temperature at noon?

Part b) By 3:00 pm, the temperature increased by another 5 degrees Fahrenheit was the temperature at 3:00 pm positive or negative?

Part c) By 11:00 pm, the temperature had dropped 8°F. Was the

temperature at 11:00 PM positive or negative? Explain.​

Part a) we know that

You can use a number line to adds the numbers

-8+5=-3°F

therefore

The temperature at noon was -3°F

Part b) we know that

the temperature increased by another 5 degrees

You can use a number line to adds the numbers

-3+5=+2°F

therefore

The temperature at 3:00 pm was +2°F

Part c) we know that

the temperature had dropped 8°F

You can use a number line to adds the numbers

2-8=-6°F

therefore

The temperature at 11:00 pm was -6°F

4 0
3 years ago
Other questions:
  • T^3-9t^2+15t use the equation to find t
    13·1 answer
  • Need help with this math​
    13·1 answer
  • you open a cafe. the function f(x)=4000x represents your expected net income(in dollars) after being open x weeks. before you op
    8·1 answer
  • For a snack, sameer ate a plum with 32 calories and several strawberries with 4 calories each. if the total number of calories i
    7·2 answers
  • A bike brought for £100 was sold for 20% les. What was the selling price​
    8·1 answer
  • A piston is seated at the top of a cylindrical chamber with radius 3 cm when it starts moving into the chamber at a constant spe
    5·1 answer
  • (a) Work out the reciprocal of 1.25
    6·1 answer
  • HELP!! 4. (01.02 MC)<br> Which number line shows the solution to -3- (-1)? (1 point)<br> o
    13·1 answer
  • I just need help with number 36 pleasee
    6·1 answer
  • How can I anwers this
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!