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
Contact [7]
3 years ago
9

Two angles are complementary. the measure of one angle is 6° more than one-half of the measure of the other. find the measure of

each angle.
Mathematics
2 answers:
expeople1 [14]3 years ago
7 0
First, write an equation system based on the problem
We could write "two angels are complementary" as
⇒ a + b = 90° (1st equation)
We could write "<span>the measure of one angle is 6° more than one-half of the measure of the other" as
</span>⇒ a = 6° + \frac{1}{2}b (2nd equation)
<span>
Second, solve the equation system by substituting a from the second equation to the first equation
a + b = 90</span>°
6° + \frac{1}{2}b + b = 90°
6° + \frac{3}{2}b = 90°
\frac{3}{2}b = 84°
b = 84° × \frac{2}{3}
b = 56°

Substitute the measurement of b
a + b = 90°
a + 56° = 90°
a = 90° - 56°
a = 34°

The answer are 56° and 34°
Sidana [21]3 years ago
6 0
Complementary angles total 90°
One angle is 6 + .5x, so both angles added together is
x + (6 +  0.5 x) = 90 \\  1.5x  + 6 = 90 \\ 1.5x = 84 \\ x = 56 \\ 90 - 56 = 34
First, we add one angle to the other, and set it to 90°. Then, we simplify the equation. Then, we subtract 6 from both sides. Then we divide both sides by 1.5
The first angle is 56°
The second angle is 90 - 56, which is 34°
You might be interested in
PLEASE HELP
erastovalidia [21]

The necessary solution that would be used to fill in the blanks would be

  • perpendicular
  • is the center of
  • Circumscribed

<h3>How to find the center of the circle</h3>

The way that Quintin would be able to do this would be the center of the circumferential triangle is equidistant from the vertices.

The center is going to be the intersection of the bisectors of the three sides of the given triangle.

Read more on the center of a circle here:

brainly.com/question/25938130

#SPJ1

perpendicular bisectors, is the center of, circumscribed

5 0
2 years ago
What is is 2,704 4 is the underline digit
GrogVix [38]
Which one is underline digit
3 0
3 years ago
the difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers?
stepladder [879]
I would more detail so I can better answer your question for you

5 0
3 years ago
What is 52,437 rounded to the nearest thousand
Tom [10]

Answer:

52,000

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How do i evaluate it????
Kitty [74]

Answer:

1 for all evaluate questions

Step-by-step explanation:

just remember anything to the zero power is 1

4 0
3 years ago
Other questions:
  • A fur pillow costs $50 and sells for $80. What is the rate of markup based on the selling price?
    12·1 answer
  • Bases are 26.5 and 30. the area is 791. what is the height?
    7·1 answer
  • Plz help!!!!!!!!!!!!
    10·2 answers
  • B. 300,000 + 50,000 + 1,000 + 800
    13·1 answer
  • What is 1.02 as a fraction or mixed number in lowest terms
    13·2 answers
  • PLEASE HELP VERY URGENT** Write this verbal expression into an actual expression: The quotient of a number and 5 is 44.
    14·1 answer
  • What value of k will make this expression equal to 0? b×3.8×2.72×(k-4)
    7·1 answer
  • Please help me asap!
    11·1 answer
  • If you buy a shirt that was 18.30 but it is on sale for 15$ what is the percent markdown rounded to the nearest percent
    15·1 answer
  • Write 530% as a decimal and as a mixed number of fraction
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!