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
Mila [183]
3 years ago
14

2 hexagons are similar. if the ratio of their perimeters is 8:5, and a side of the larger hexagon measures 32 cm. find the lengt

h of the corresponding side of the smaller hexagon
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

20 cm

Step-by-step explanation:

An hexagon has 6 equal sides therefore its perimeter is obtained by summing up all the values of the 6 sides

For the bigger hexagon, the perimeter = 32 + 32 + 32 +32 + 32 + 32

or   6 *32

= 192 cm

Next, we'll calculate the perimeter of the smaller hexagon

Since their perimeters are in the ratio 8: 5

Let x represent the perimeter of the smaller hexagon

This gives;

8 : 5 = 192 : x

change to fraction

8/5 = 192 /x

cross multiply

8x = 192*5

8x = 960

Divide both sides by the coefficient if x which is 8

x = 120 cm

Since all sides of an hexagon are equal, we'll simple divide the value of the perimeter by the number of sides of the hexagon

120/6

20 cm

Therefore, the length of the corresponding smaller hexagon is 20 cm

You might be interested in
Last year,Vicki rented 131 videos,and Chris rented 80 videos.Together they rented 173 more videos than the average couple rents
Fynjy0 [20]

Answer: 38 Videos

Step-by-step explanation:

Add Vikki’s and Chris’s videos (131+80=211)

If they rented 173 more than the average couple you need to subtract Vikki’s and Chris’s amount from 173 (211-173=38)

That will give you the average videos other couples rent

3 0
3 years ago
Read 2 more answers
Question 27 (1 point)
Arada [10]

Answer: y=2x+1

Step-by-step explanation:

plug in the points in to the equation to see what you get

7 0
3 years ago
Student
Bess [88]

Step-by-step explanation:

Is that the whole question or can you give me more information?

6 0
3 years ago
Plane STL and plane Z would intersect at VTX. True or False?
diamong [38]
<span>False i believe i think</span>
5 0
3 years ago
Read 2 more answers
One-eighth of a number is -4,200.<br><br> What is the number?
Leno4ka [110]
0.125 sorry if I’m wrong :(
7 0
3 years ago
Other questions:
  • the mean amount of money spent per week on gas by a sample of 25 drivers was found to be $57.00 with a standard deviation of $2.
    5·1 answer
  • Let f(x) = 7x - 13. Find f-1(x).
    6·1 answer
  • Can anybody tell me the answer to this im so confused
    9·1 answer
  • to make fruit punch susannah mixes lemonade with orange juice in the ratio 5:9 she use 40 ounces of lemonade how many ounces of
    9·2 answers
  • What are the solutions to the equation 3x^2 + 15x = 18. Show your work.
    9·2 answers
  • Ivan and Tanya share £150 in the ratio 4:1 Work out how much more Ivan gets compared to Tanya.
    8·2 answers
  • Find the value of x
    7·1 answer
  • Frist one to do it gets brainist ​
    10·1 answer
  • Solve for x<br><br> (please write work)
    13·2 answers
  • Because triangle XYZ is a right triangle, the side
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!