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
Sever21 [200]
3 years ago
12

20 Pts + Brainliest for the best answer

Mathematics
2 answers:
Setler79 [48]3 years ago
6 0

Answer:

NMO = 59

Step-by-step explanation:

If MO bisects LMN  then LMO equals  OMN

LMN = LMO+OMN

Since LMO = OMN

LMN = LMO + LMO

LMN = 2 LMO

Substituting LMN = 5x-22 and LMO = x+31

5x - 22 = 2( x+31)

Distribute

5x-22 = 2x+62

Subtract 2x from each side

5x-2x-22 = 2x-2x+62

3x-22 = 62

Add 22 to each side

3x-22+22 =62+22

3x = 84

Divide by 3

3x/3 = 84/3

x =28

LMO = x+31

        =28+31

       =59

NMO = LMO

NMO = 59

nevsk [136]3 years ago
5 0

If MO bisects ∠LMN then m∠LMO = m∠NMO

and m∠LMN = m∠LMO + m∠NMO

Therefore m∠LMN = 2 · m∠LMO

We have m∠LMN = 5x - 22 and m∠LMO = x + 31. Substitute:

5x - 22 = 2(x + 31)        <em>use distributive property a(b + c) = ab + ac</em>

5x - 22 = (2)(x) + (2)(31)

5x - 22 = 2x + 62        <em>add 22 to both sides</em>

5x = 2x + 84         <em>subtract 2x from both sides</em>

3x = 84       <em>divide both sides by 3</em>

x = 28

m∠NMO = m∠LMO = x + 31

Put the value of x:

m∠NMO = 28 + 31 = 59

<h3>Answer: m∠NMO = 59°</h3>
You might be interested in
Free brainless answer pleaseeee and morw
sergejj [24]
1. alternate interior angles, x= -10
2. corresponding angles, x= 30
7 0
4 years ago
Alexandria purchased a computer on sale. The original price was $1200. The sale price was 5/6 of the original price. how much di
Vaselesa [24]
I believe you ment to say sale price but I hope this helps you understand your question. The original price was 1200, and if it were 5/6 on sale (this method works for all questions like this) you would do 1200 ÷ 6 = 200 x 5 = $1000.
7 0
3 years ago
Explain why f(x) = x2+4/x2-x-2 is not continuous at x = 2.
xxTIMURxx [149]

Answer: Option a.

Step-by-step explanation:

 Make the denominator equal to zero and solve for x:

Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

x^{2}-x-2=0\\(x-2)(x+1)=0\\x=2\\x=-1

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2

The answer is the option a.

6 0
4 years ago
Read 2 more answers
The period of the function y=sin(1/4 x) is equal to
Aleonysh [2.5K]

Answer:

8*\pi

8 0
2 years ago
Compound interest
aev [14]

9514 1404 393

Answer:

  4254.31

Step-by-step explanation:

The compound interest multiplier is ...

  m = (1 +r/n)^(nt) . . . . annual rate r compounded n times per year, t years

For 11% compounded quarterly for 18 years, the multiplier is ...

  m = (1 +0.11/4)^(4·18) = 1.0275^72 ≈ 7.0516671

If 30,000 is the future value, then the present value is ...

  PV = FV/m = 30,000/7.0516671

  PV ≈ 4254.31

3 0
2 years ago
Other questions:
  • Mr. Tola has a piece of wood that is 8 1/4 feet in length. He wants to cut it into pieces that are each 3/4 foot in length. How
    15·2 answers
  • Bob can type 2 letters in 4 hours while Bill can do it in 6 hours. How many hours would it take them to type six letters togethe
    8·2 answers
  • A set of data has a correlation coefficient r = 0.15. Is it reasonable to use the line of best fit to make predictions from the
    15·2 answers
  • Question : <br> 3x-9y+12=?
    11·1 answer
  • Fiona needs $62 to go on a field trip. She has saved $10.50. She earns $6.50 per hour cleaning her neighbor's garden, and she ea
    15·1 answer
  • PLZ HELP QUESTION IN PICTURE!!
    5·1 answer
  • a political candidate hears that 65% of the voters are for him in the polls, up 40% since the last poll what percentage of voter
    13·1 answer
  • What is the square root of -16<br><br> -8i<br> -4i<br> 4i<br> 8i<br><br><br><br> Pls explain tooo
    14·1 answer
  • the area of the green square is 21% greater than the area of the yellow square l. workout the ratio a:b
    12·1 answer
  • According to the video, this career offers a good opportunity to do what?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!