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
erica [24]
3 years ago
14

Find the measures of two supplementary angles m and n if m=6x+3 and n=2x-7

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0
When two angles are supplementary, their angle measures add up to 180°. That means that the angles measures of angle m and angle n should add up to 180. With this information, you can set up the equation m + n = 180. You can find the value of x by substituting m and n with their values and solving algebraically.

6x + 3 + 2x - 7 = 180       Add up like values (6x and 2x) (3 and -7)
              8x - 4 = 180       Add 4 to both sides      
                   8x = 184       Divide both sides by 8
                     x = 23

Now to find the measures of angles m and n, substitute the x value into both of the equations and solve.

m = 6x + 3              Substitute
m = 6(23) + 3         Multiply
m = 138 + 3           Add
m = 141°

-----------------------------------------------

n = 2x - 7               Substitute
n = 2(23) - 7          Multiply
n = 46 - 7              Subtract
n = 39°

You can check your work by adding the two angle measures to make sure hey are supplementary.

141° + 39° = 180°

So angle m is 141° and angle n is 39°.
You might be interested in
I need help... I cant figure This one out!! Lol someone help!
Bogdan [553]

Answer:

x= 48

Step-by-step explanation:

x+90+42=180

x= 48

please mark brainliest

6 0
2 years ago
6,132 ÷ 203= Divide. Enter a solution as a mixed number
Marat540 [252]

Answer:

30.2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Kyle has a loan of $32,890
Anuta_ua [19.1K]

Answer:

$2,631.20

Step-by-step explanation:

We are told that the loan has a simple interest rate of 8% per year. This means that every year that goes on without Kyle paying back the money, he will have to pay an extra 8% of $32,890 as interest.

After one year, he only has to pay back one lot of interest, just 8% of $32,890.

To find that number we can change 8% into a decimal: 8%/100% = 0.08

And then multiply this by the amount of loan money:

0.08 x 32,890 = 2,631.20

Kyle has to pay $2,631.20 of interest at the end of one year.

Hope this helped!

7 0
3 years ago
Hello, please I will kindly ask if you take your time to help me with this math question
Finger [1]

Answer:

The answer to your question is below

Step-by-step explanation:

9)

They are supplementary angle. The sum of supplementary angles is 180°.

                   b + 50 = 180

-Solve for b

                    b = 180 - 50

                    b = 130°

10)

They are vertical angles. Vertical angles measure the same

                    b = 43°

11)

They are vertical angles. Vertical angles measure the same.

                    b = 73°

12)

They are supplementary angles. The sum of supplementary angles is 180°

                  b + 35 = 180

-Solve for b

                  b = 180 - 35

                  b = 145°

5 0
4 years ago
I need help! This is too hard
Galina-37 [17]
To start, this is an interest problem, meaning you will have to use I=prt where I is the total interest, p is the principle amount, r is the rate, and time is the amount of time in years. Since you know the principle rate is $1200, the rate is 3.9%, and the time is 8 months, you can plug this into the formula. However, keep in mind that you have to convert 3.9% to a decimal before putting it into the formula and the time must be represented in years. 3.9% represented as a decimal would be 0.039 and 8 months would be represented as 8/12 or 2/3 (since there are 12 months in one year). Now that you have this information, plug the values into the formula: i=(1200)(0.039)(2/3). When simplified, you get your answer as $31.20.
6 0
4 years ago
Read 2 more answers
Other questions:
  • What do you do when you are trying to square something?
    5·2 answers
  • 1 - 5/9 or what is 1 take away five out of nine
    14·1 answer
  • If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 4 and passes through point (1, 2).
    12·2 answers
  • Can someone help me with this problem???
    10·1 answer
  • A circle is shown. Secant P N and tangent M N intersect at point N outside of the circle. Secant P N intersects the circle at po
    5·2 answers
  • Which set of angles can form a triangle?
    5·2 answers
  • If X²+1=2x then what the value of x²?
    6·2 answers
  • 30 POINTS I NEED HELP PLZ
    15·1 answer
  • Write an equation for the line that is parallel to the given line and that passes through the given point. y = 1/2x - 8; (-6, -1
    10·2 answers
  • For a brainly give a justify answer
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!