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
Lunna [17]
3 years ago
14

An angle's supplement is nine times of its complementary angle. Find the measure of the angle, the complement of the angle,and t

he supplement of the angle. Answer and Explain please
Mathematics
1 answer:
Masja [62]3 years ago
8 0

Answer:

Measure of required angle = 78.75° , measure of  complementary angle  = 11.25° and measure of supplementary angle = 101.25°

Step-by-step explanation:

let assume measure of required angle = x

since sum of angle and its supplement is 180°

so x + supplement of x = 180

⇒ supplement of x  = 180 - x

since sum of angle and its complement is 90

so x + complement of x = 90

⇒ complement of x = 90 - x

Form given information

supplement of x = 9 × ( complement of x)

⇒180 - x = 9 × ( 90 - x )

⇒ 180 - x = 810 - 9x

⇒ -x + 9x = 810 - 180

⇒ 8x = 630

⇒ x = 630/8 = 78.75°

complement of x = 90 - x = 90 - 78.75° = 11.25°

and supplement of x = 180 - 78.75  = 101 .25°

we can recheck our solution by multiplying complement by 9 , that is 11.25 × 9 = 101.25 which is same as supplement. Hence our solution is correct.

So we can conclude that measure of required angle = 78.75° , measure of  complementary angle  = 11.25° and measure of supplementary angle = 101.25°


You might be interested in
Question 17 of 25
belka [17]

Answer:

B

Step-by-step explanation:

10 ÷ 8

=0.8

≈1% probability

4 0
3 years ago
Which expression is equivalent to (3-5x)(3+5x)​
Levart [38]
I think the answer is 9-25x
5 0
3 years ago
In a set of data, if there is no clear pattern to the points when graphed on a coordinate plane, we say there is no relative ___
VikaD [51]
Answer: If there is no clear pattern to the points when graphed on a coordinate plane, we say there is no relative correlation.

In a scatter plot, we are looking for a pattern (or correlation) between the points. Sometimes, they increase together. Sometimes, they decrease together.

If we can't see a pattern, we say there is no correlation.
7 0
3 years ago
18. The temperature was
Alex_Xolod [135]

Answer:

Step-by-step explanation: Find the number between 40 and -10.

start at 40 and end at -10.

-40=0

0-10=-10

the tempature changed by 50 degrees.

6 0
2 years ago
Write the ratio $12 dollers for 3 tickets as a unit rate​
guajiro [1.7K]

The unit rate would be the price for 1 ticket.

12 dollars / 3 tickets = $4 per ticket.

The ratio would be 4:1

8 0
3 years ago
Other questions:
  • Complete the table for the given rule. <br> Rule: y=x−4<br><br> x y<br> 4<br> 6<br> 8
    14·2 answers
  • Write an equation of a line with the given slope and y-intercept.
    6·1 answer
  • Rachel bought one double pack of CD’s for $20. This is $4 less then than 3/4 the cost of a triple pack of CD’s. What is the pric
    8·1 answer
  • Which expression is equivalent to<br> on is equivalent to 9x^5y^16/45x^5y^4?
    6·1 answer
  • John is selling tickets to an event. Attendees can either buy a general admission ticket, x,
    15·1 answer
  • A football field is 40 yards wide and 120 yards long. Find the distance between opposite corners of the football field.
    9·1 answer
  • A quantity with an initial value of 120 decays exponentially at a rate of 9.5% every 7
    5·1 answer
  • When converted to a household measurement, 9 kilograms is approximately equal to a
    8·2 answers
  • 4. A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost
    9·1 answer
  • I need answer fast please i will mark as brainliest Add The following
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!