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
5

The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of

x.

Mathematics
1 answer:
sweet [91]3 years ago
5 0

The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

  • The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
  • The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
  • The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
  • We need to find the value of x

∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

    quadrilateral is 360°

- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = \frac{40}{100} × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = \frac{12.5}{100} × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = \frac{25}{100} × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

You might be interested in
Write a program that will enable Tracy to draw one circle with a diameter of 50
e-lub [12.9K]

Answer:

circle(50)

Step-by-step explanation:

The circle should have a diameter of 50 so the answer is simply "circle (50)"

8 0
2 years ago
Solve 6 + 5 √ 2 4 9 − 2 x = 7
NISA [10]

6+5\sqrt{249}-2x=7 \\-2x=7-6-5\sqrt{249} \\-2x\approx-77.9 \\x\approx\frac{-77.9}{2}\approx38.95

Hope this helps.

7 0
3 years ago
A photo originally measuring 11 inches by 9 inches needs to be enlarged to a size of 55 by 45 inches. Find the scale factor of t
mariarad [96]

Answer:

scale factor = 5

Step-by-step explanation:

To determine the scale factor calculate the ratio of corresponding sides of the enlargement to the original, that is

scale factor = \frac{55}{11} = \frac{45}{9} = 5

8 0
3 years ago
Ashton plays three games of checkers with his grandmother. Identify the
Marizza181 [45]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the math for 4×(5+2) ?​
Rzqust [24]

Answer:

28

Step-by-step explanation:

since the 5+2 is in parenthesis(don't know how to spell it its these things >( ) if you didn't know) you have to do 5+2 1st so thats 7 then you do 4*7 which is 28

8 0
3 years ago
Other questions:
  • Given the geometric sequence where a1=-3 and the common ratio is 9 what is the domain for n
    7·1 answer
  • The perimeter of a rectangular floor is 50 feet. find the dimensions of the floor if the length is four times the width.
    12·1 answer
  • What is the same value as 32 tens
    10·2 answers
  • Calculate the mean number of students per class at watch school. Write your answers in sentences that explain what the means rep
    7·2 answers
  • Solve the equation <br> -4+-1+2+.....+x=437
    7·2 answers
  • How to find amplitude and period from equation?
    5·1 answer
  • Complete the steps for simplifying the given expression.
    15·2 answers
  • Pls help I’ll brainlest due ASAP
    13·2 answers
  • Please help with number 3 please due today
    9·1 answer
  • GUYSSS PLSSS HELP ME WITH THIS QUESTION :))
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!