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
aev [14]
3 years ago
10

In ⊙L, m∠NMO=9x−3 and m∠NPO=4x+12. Find mNO.

Mathematics
2 answers:
alexdok [17]3 years ago
4 0

Answer:

arc NO has measure 48

Step-by-step explanation:

We assume all measures are in consistent units (degrees or something similar). The two inscribed angles intercept the same arc, so are congruent:

9x -3 = 4x +12

5x = 15 . . . . . . . add 3-4x

x = 3 . . . . . . . . . divide by 5

The measure of the inscribed angle is then ...

4x +12 = 4(3) +12 = 24

That is half the measure of the arc, so the measure of arc NO is ...

arc NO = 2·24 = 48

raketka [301]3 years ago
4 0

Answer:

48°

Step-by-step explanation:

I'm actually just <u>assuming</u> that you mean arc NO.  Proceeding with that...

Angle NMO is an inscribed angle which intercepts arc NO.  Angle NPO is also an inscribed angle that intercepts arc NO.  Because they both intercept the same arc, both inscribed angles have the same measure.  Therefore,

9x - 3 = 4x + 12

Solving for x:

5x = 15

x = 3.  Plug 3 in for x in either one of the equations to get that angles NMO and NPO measure

9(3) - 3 = 24°

The rule is that inscribed angles measure HALF of the arcs they intercept, so the measure of arc NO is 48°

You might be interested in
The selling price for a classic speedboat is $12,000. what was the speedboats original price if it is currently selling for $2,0
dangina [55]

Answer:

$7,000

Step-by-step explanation:

Let x equal the original price.

12,000+2000=2x

Combine like terms.

14,000=2x

Divide by the coefficient of x, which in this case is 2.

7,000=x

If you like the variable on the left, rewrite:

x=7,000

4 0
3 years ago
Plz plz answer this 10pts:)
alukav5142 [94]

Answer:

8

Step-by-step explanation:

12-4=8

6 0
3 years ago
Read 2 more answers
Help me find Angle AJL
marin [14]

Answer:

63

Step-by-step explanation:

You have to subtract 180 and 117 which is 63.

3 0
3 years ago
Solve the equation and graph the solution:<br><br>24 + 6k &lt; -6(-4-k) <br>​
34kurt

Answer:

no solution

Step-by-step explanation:

24 + 6k < -6(-4-k)

Distribute

24+6k< 24 +6k

Subtract 6k from each side

24 < 24

This is never true so there are no solutions

7 0
3 years ago
Please help I don't understand. file uploaded.
IrinaK [193]

Answer:

ugsrgnSRernynerytydheyhxeryfrxjvvvbhfrea3sxrggdho

8 0
3 years ago
Other questions:
  • Lisa cuts 3 grapefruits in half. Each grapefruit half has 8 segments. Write an expression that uses parentheses to group two fac
    7·1 answer
  • Write the converse of the statement below ⬇
    14·1 answer
  • 6. Find the area of a trapezoid with bases 14 cm and 18 cm and height 10 cm.
    5·1 answer
  • The following observations have been arranged in ascending order. If the median of the data is 22, then find the value of the 6t
    9·1 answer
  • Area of trapezoids 2in,4in,6in
    9·1 answer
  • I have my maths exam in 20 minutes any tips on how to calm my nerves<br> Its a 2 hour exam :/
    6·1 answer
  • How do I solve this one?
    10·2 answers
  • Solve the equation x2 = 36. Write the solution(s) in two forms: as an integer, and with a root
    5·1 answer
  • For the​ following, indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variab
    6·2 answers
  • Radius ob measures x units. which expression represents the circumference of the smaller circle with radius oa? (startfraction p
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!