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
andrew11 [14]
3 years ago
5

The measure of the supplement of an angle is 20° More than three times the measure of the original angle. Find the measures of t

he angles
Mathematics
1 answer:
laiz [17]3 years ago
7 0

<u>Answer:</u>

The measure of the supplement of an angle is 20° More than three times the measure of the original angle. The angles are 40 degrees and 140 degrees.

<u>Solution:</u>

Given, The measure of the supplement of an angle is 20° More than three times the measure of the original angle.  

We have to Find the measures of the angles.

Let the original angle be n degrees.

We know that, sum of supplementary angles is 180, then, supplementary angle of n will be 180 – n.

Now according to the given information, 180 – n = 20 + 3 x n

180 – n = 20 + 3n  

3n + n = 180 – 20

4n = 160

n = 40

Then, supplementary angle is 180 – 40 = 140 degrees.

Hence, the measures of two supplementary angles are 40 degrees and 140 degrees.

You might be interested in
The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9,
vlabodo [156]

1600 children and 1400 adults attended

<h3>How to determine the number of adults?</h3>

Let the children be x and adult be y.

So, we have the following equations:

x + y = 3000

1.5x + 5y = 9400

Make x the subject in x + y = 3000

x = 3000 - y

Substitute x = 3000 - y  in 1.5x + 5y = 9400

1.5(3000 - y) + 5y = 9400

Expand

4500 - 1.5y + 5y = 9400

Evaluate the like terms

3.5y = 4900

Divide both sides by 3.5

y = 1400

Substitute y = 1400 in x = 3000 - y

x = 3000 - 1400

Evaluate

x = 1600

Hence, 1600 children and 1400 adults attended

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

8 0
2 years ago
Solve the following equation by factoring: 9x^2 – 3x – 2 = 0
crimeas [40]
The answer is A. X=-1/3 or x=2/3
5 0
3 years ago
Read 2 more answers
If the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive non
aleksandrvk [35]
Answer: the converse

Why: “if Q then P”, if 44 then acute
4 0
3 years ago
A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 83 feet and then dr
Simora [160]
Initially started 20 feet from the ground . 
Went uphill 83 feet. 
So: 20 + 83 = 103. The coaster is 103 ft above at this point. 

Went down 42 feet 
So: 103 - 42 = 61. 

Went up 128 feet
So: 61 + 128 = 189

Finally, went down 90 feet
So: 189 - 90 = 99

99 ft above ground.
3 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to the line with equation y = 1/6 (x) – 2
adell [148]
Let gradient of original line = m = 1/6
Gradient of line perpendicular to this  = -1/m = -6

(Gradient = slope)
3 0
3 years ago
Other questions:
  • Given that cos 26 degrees= 0.899, write the sine of a complementary angle
    6·1 answer
  • Mallory is buying bedroom furniture for $1,789.43. The dresser is 39.7% of the total cost. Which is the best estimate for the co
    7·1 answer
  • If 4a - 13 = 6b + 35 = 8c -17 = d, find the smallest possible value of a + b + c + d.
    9·1 answer
  • An adult blinks about 450 times in 30 minutes. A 12 year old blinks about 150 times in 15 minutes. How many more times does an a
    14·1 answer
  • 12. The sum of four consecutive numbers in A.P. is 32 and the ratio of the product of the first and last terms to the product of
    11·1 answer
  • Whats 1 plus 1 I WILL GIVE BRAINLEST
    13·2 answers
  • Find the area of the triangle to the nearest tenth . Pleaseeee help
    5·1 answer
  • The graph of the exponential function f is shown on the grid below. What is the y-intercept of this exponential function?
    6·1 answer
  • Write the numeral to represent four hundred and eight thousand and sixty-four
    11·2 answers
  • What is the surface area of the rectangular prism?<br> 480mm<br> 427mm<br> 213.5mm<br> 255mm
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!