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
9

50 points, please answer quickly thank you.

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

a) 180 degree

b) 180 degree

c) 180 degree

d) m∠3

e) m∠3

Step-by-step explanation:

a) We know that if two angles are supplementary then their sum = 180 degree.

In the given problem m∠1 and m∠2 are supplementary .Therefore m∠1+m∠2 =180°

b) We are given that m∠2 and m∠3 are supplementary. Therefore m∠2+m∠3 = 180°

c) m∠1+m∠2 = 180°

  m∠2+m∠3 = 180°

   equate equation 1 and equation 2:

   m∠1+m∠2=m∠2+m∠3

d)  m∠1+m∠2=m∠2+m∠3

    Subtract m∠2 from both sides

    m∠1+m∠2-m∠2=m∠2-m∠2+m∠3

     m∠1=m∠3

e)   m∠1≅m∠3 ....

You might be interested in
Solve the system of equations using the linear combination method {5p-3q=-39 -2p-3q=3
VikaD [51]

Answer:

p=-6

q=3

Step-by-step explanation:

5p-3q=-39

-2p-3q=3

Multiply the second equation by -1

2p +3q = -3

Add the first equation and the modified second equation

5p-3q=-39

2p +3q = -3

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

7p = -42

Divide by 7

7p/7 = -42/7

p = -6

Now we can find q

2p +3q = -3

2(-6) +3q = -3

-12 +3q = -3

Add 12 to each side

-12+12 +3q = -3+12

3q = 9

Divide by 3

3q/3 = 9/3

q=3

6 0
2 years ago
Read 2 more answers
The school cafeteria surveyed students to see what their favorite lunch is, and the
Sergio039 [100]

Answer:

40%

Step-by-step explanation:

Degree representing students who prefer burgers = 144°

Percentage of students who like burger = \frac{144}{360} \times 100

= 0.4 \times 100

= 40 percent

Percentage of students who offered burger = 40%

3 0
2 years ago
Omg plzzzzzzzzzzz HELPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
natta225 [31]

Answer:

25

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Evaluate the interval (Calculus 2)
Darya [45]

Answer:

2 \tan (6x)+2 \sec (6x)+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

\displaystyle \int \dfrac{12}{1-\sin (6x)}\:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int a\:\text{f}(x)\:\text{d}x=a \int \text{f}(x) \:\text{d}x$\end{minipage}}

If the terms are multiplied by constants, take them outside the integral:

\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)}\:\:\text{d}x

Multiply by the conjugate of 1 - sin(6x) :

\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)} \cdot \dfrac{1+\sin(6x)}{1+\sin(6x)}\:\:\text{d}x

\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{1-\sin^2(6x)} \:\:\text{d}x

\textsf{Use the identity} \quad \sin^2 x+ \cos^2 x=1:

\implies \sin^2 (6x) + \cos^2 (6x)=1

\implies \cos^2 (6x)=1- \sin^2 (6x)

\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{\cos^2(6x)} \:\:\text{d}x

Expand:

\implies 12\displaystyle \int \dfrac{1}{\cos^2(6x)}+\dfrac{\sin(6x)}{\cos^2(6x)} \:\:\text{d}x

\textsf{Use the identities }\:\: \sec \theta=\dfrac{1}{\cos \theta} \textsf{ and } \tan\theta=\dfrac{\sin \theta}{\cos \theta}:

\implies 12\displaystyle \int \sec^2(6x)+\dfrac{\tan(6x)}{\cos(6x)} \:\:\text{d}x

\implies 12\displaystyle \int \sec^2(6x)+\tan(6x)\sec(6x) \:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Integrating $\sec^2 kx$}\\\\$\displaystyle \int \sec^2 kx\:\text{d}x=\dfrac{1}{k} \tan kx\:\:(+\text{C})$\end{minipage}}

\boxed{\begin{minipage}{6 cm}\underline{Integrating $ \sec kx \tan kx$}\\\\$\displaystyle \int  \sec kx \tan kx\:\text{d}x= \dfrac{1}{k}\sec kx\:\:(+\text{C})$\end{minipage}}

\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}

Simplify:

\implies \dfrac{12}{6} \tan (6x)+\dfrac{12}{6} \sec (6x)+\text{C}

\implies 2 \tan (6x)+2 \sec (6x)+\text{C}

Learn more about indefinite integration here:

brainly.com/question/27805589

brainly.com/question/28155016

3 0
2 years ago
You are flipping two standard coins.One coin is red and the other is blue.What is the probability of getting heads on the red co
Nimfa-mama [501]
I Believe the answer is B
3 0
3 years ago
Read 2 more answers
Other questions:
  • A squirrel burrowed 4 holes in 6 minutes. How many holes could the squirrel burrow in 9 minutes?
    8·1 answer
  • Tarnisa bought 4 sandwiches for her and her three friends. She had a coupon for $2 off each sandwich and spent a total of $18. I
    8·2 answers
  • What is the measure of jk
    11·1 answer
  • A letter or symbol that is used to represent a number is called a _ _ _ _ _ _ _ _.
    13·1 answer
  • 3. Of the 32 students in Maria's class, 14 play sports, 19 are in the band, and 6 are involved in both sports and
    7·1 answer
  • What is the best estimate for the mass of a bicycle?
    6·2 answers
  • Solve for x: <br><br>(x+3)²=1​
    14·1 answer
  • Help?? pleaseeeee cant fudge it out lol
    6·1 answer
  • HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
    7·1 answer
  • What is the value of B for the following triangular prism?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!