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
Ainat [17]
3 years ago
13

Find the value of x in the following figure.

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
The sum of all exterior angles on a polygon  = 360 degrees.

Therefore you can make this formula:

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)

Now let's solve for x.

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)
360 = 46 + 12x + 37 + 12x - 2 + 20x - 29
360 = 83 + 12x + 12x - 2 + 20x - 29
360 = 81 + 12x + 12x + 20x - 29
360 = 52 + 12x + 12x + 20x
360 = 52 + 24x + 20x
360 = 52 + 44x
308 = 44x
/44      /44
   7 = x

Therefore, x is equal to 7. You can substitute this into each angle to find the actual measurement of each angle. You will notice that the finished angles will all add up to 360 degrees.

Hope it helped :P
You might be interested in
How many triangles can be constructed with angles measuring 60 degrees 60 degrees and 40 degrees
erma4kov [3.2K]
None, a triangle need to have angles measuring 180 degrees , its only possible if the triangle has three angles equaling 60
8 0
2 years ago
Read 2 more answers
Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switc
s344n2d4d5 [400]

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switches, each one set on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches​ independently.<u>The probability of at least one pair of neighbors using the same​ settings is 0.65633</u>

Step-by-step explanation:

<u>Step 1</u>

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent​ switches

<u>So .the number of Combinations possible with the Transmitters </u>=

2*2*2*2= 16

<u> Step 2</u>

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

<u> Step 3</u>

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

<u> Step 4</u>

<u>So the probability of at least </u>one pair of neighbors using the same settings

is  0.65633

3 0
3 years ago
At noon on tuesday in Chicago the temperature in degrees Fahrenheit was -2 Fahrenheit at noon on Wednesday the temperature was 8
bagirrra123 [75]
The temperature was 6 degrees Fahrenheit
4 0
3 years ago
Read 2 more answers
What is four plus the number two basically mathematics
Oksi-84 [34.3K]

Answer:

6

Step-by-step explanation:

4+2 = 6

Hope this helps

6 0
3 years ago
Carla plumbing charges $25 for a service call and $28 per hour, h, for labor for any repair. The total cost , t, for a repair ca
Ulleksa [173]

Answer:

It took 5 hours

Step-by-step explanation:

Because 28 times 5 is 140 plus 25 for the call is 165.

4 0
2 years ago
Other questions:
  • The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the
    14·1 answer
  • What is the ratio of the number of gray T-shirts to the number of black T-shirts?
    14·1 answer
  • The difference of two numbers is 20 and their product is 125 what is the answer
    7·1 answer
  • Convert 45 mg to kg.<br> Help?
    12·1 answer
  • Julia measured the high temperature in her town for one week. Using the chart below, find the mean absolute deviation for the hi
    15·2 answers
  • Use long division 4÷14.4<br><br> HELP
    15·2 answers
  • Write an equation of the line in slope-intercept form.<br> (sorry it's blurry)
    7·1 answer
  • Find the unit rate. 12 laps in 30minutes. <br> Asking for fraction
    9·1 answer
  • Helppppp<br> me anyone :(
    12·2 answers
  • Help pls!! Find the marc GFD
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!