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
kykrilka [37]
3 years ago
8

The lengths, in order, of four consecutive sides of an equiangular hexagon are 1, 7, 2 and 4 units, respectively. what is the su

m of the lengths of the two remaining sides?

Mathematics
1 answer:
Scilla [17]3 years ago
8 0
Let ABCDEF be an equilanqular hexagon with consecutive sides 1,7,4,2, respectively. All angles of this hexagon are equal to 120° (because total anglea sum is 720°).

Draw lines: CG parallel to ED, PG and AH parallel to BC and EG parallel to CD. You obtain three parallelograms CGED, PGEF, ABCH and one trapezoid APGH.

Since CGED is parallelogram, CG=ED=2, GE=CD=4.

Since ABCH is parallelogram, AH=BC=7, AB+CH=1. Then GH=CG-CH=2-1=1.
Since PFEG is parallelogram, PF=EG=4, EF=PG. Let's find GP. APGH is equilateral trapezoid, then AP=GH=1 ahd thus FA=1+4=5 and GP=AH-0.5-0.5=7-0.5-0.5=6.

Answer: All sides have lengths 1,7,4,2,6,5, respectively.










You might be interested in
Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
Stells [14]

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

8 0
3 years ago
Please help me , im so bad at this loll
Sholpan [36]

Answer:

1st: 8

3rd:0.25

4th:19

5th:1

Step-by-step explanation:

6 0
3 years ago
Please I NEED HELP HURRY The quotient of six and a number subtracted from 100 Question A 100 - 6/x Question B 6/x - 100 Question
jasenka [17]

For this case we have that the quotient of 6 and a number, can be expressed as:

\frac {6} {x}

Where the variable "x" represents the incognito number.

Now we have that expression is subtracted from 100. Now, we can write the following:

100- \frac {6} {x}

ANswer:

Option A

4 0
3 years ago
WHAT IS EQUIVALENT TO THE INEQUALITY y/2 -6 <8 ? PLEASE HURRY ITS DUE 10:50
Oksanka [162]
Y/2 - 6 < 8
y/2 < 14
y < 7
6 0
2 years ago
Read 2 more answers
jim has a dog. jim buys 6 bags of dog biscuits. there are 27 biscuits in each bag of dog biscuits. jims dog eats 5 dog biscuits
Nonamiya [84]

Answer:

i will give it to you

Step-by-step explanation:

that's it for you dear

7 0
2 years ago
Other questions:
  • The Waist to Hip Ratio (WHR) is a ratio commonly expressed as a decimal that has been shown to be a good predictor of possible c
    9·2 answers
  • Two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) an
    8·1 answer
  • How many times can 72 go into 12?
    6·2 answers
  • Find the balance in the account.
    14·1 answer
  • Describe the graph of the line y = 15
    5·1 answer
  • Quick math, please help! What is the length of side BC in the triangle? Thank you!
    8·1 answer
  • 110% as a fraction in simplest form
    12·2 answers
  • Which expression is equal to 8.89? *
    12·1 answer
  • Solve 4(x – 5) = 18<br> pl show working out
    7·1 answer
  • Barbara worked on a straight 7% commission. Her friend worked on a salary of $600 plus a 5% commission. In a particular month, t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!