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
WITCHER [35]
3 years ago
11

I need help with solving #22

Mathematics
2 answers:
Furkat [3]3 years ago
6 0

22)

Because OP and OR trisect <NOS

so <NOP = <POR

3x - 4y = x - y so 2x = 3y

<POR = <ROS

x - y = y - 10 so x = 2y - 10

Substitue x = 2y - 10 into 2x = 3y

2(2y - 10) = 3y

4y - 20 = 3y

y = 20

x = 2y - 10 = 2(20) - 10 = 30

x = 30 and y = 20

<ROS = y - 10 = 20 - 10 = 10

Answer

<ROS = 10°

ExtremeBDS [4]3 years ago
3 0

When an angle is trisected, it is divided into 3 equal parts. That is,

... 3x -4y = x - y . . . . . ∠NOP = ∠POR

... x - y = y - 10 . . . . . ∠POR = ∠ROS

Add y to the second of these equations and you get

... x = 2y - 10

Substitute this into the first equation and you get

... 3(2y -10) -4y = (2y -10) -y . . . . substitute 2y-10 for x

... 2y -30 = y -10 . . . . . . . . . . . . . simplify

... y = 20 . . . . . . . . . . . . . . . . . . . add 30-y

... y - 10 = 20 -10 = 10 . . . . . . . . .substitute the value of y into the expression for the measure of angle ROS

m∠ROS = 10

You might be interested in
The graph shows the number of paintballs a machine launches, y, in x seconds:
Goryan [66]
Fraction 4 over eighty
4 0
4 years ago
Read 2 more answers
What percent of 700 is 353.5
Sholpan [36]

353.5 is 50.5% of 700

5 0
3 years ago
1/3/3=x/8<br> solve for x.<br> x=?
Gemiola [76]

Answer:

x=8

Step-by-step explanation:

1/3/3=x/8

1/3/3=1

1=x/8

x=1*8

x=8

4 0
4 years ago
Read 2 more answers
What is the value of the fraction of -3/4 divided 2/5
tangare [24]

Answer: 2/5 ÷ 2 = 2/10 as simplified as 1/5 in fraction form. 2/5 ÷ 2 = 0.2 in decimal form.

5 0
3 years ago
Andrea picked 21 pounds of peaches in her orchard. She divided the peaches evenly between 44 large baskets. How many ounces of p
svlad2 [7]
There are 16 oz. per 1 pound, so you have to multiply 21 by 16, which equals 336. Then you divide the 336 oz into 44 baskets. 336 / 44 = 7.64 oz
5 0
3 years ago
Other questions:
  • every 2 days a scientist spends 1.25 hours observing dolphins and 3.5 hours observing sea lions.at this rate, how many total hou
    15·2 answers
  • HELP PLEASE.<br> Both questions.
    11·1 answer
  • Can ya"ll help meh :)
    11·2 answers
  • A=14; what does 15+5+a equal
    15·1 answer
  • Nine subtracted from twice a niumber
    15·1 answer
  • PLS PLS PLS HELP!!! WILL GIVE BRANLIEST
    12·2 answers
  • How do I do number 2 and 4 please help
    13·2 answers
  • The diagram shows Kara's watch. If Kara
    5·1 answer
  • Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5° 56. 5° 28. 9° 44. 3°.
    9·1 answer
  • An urn contains n balls, one of which one is special. If k of these balls are withdrawn one at a time, with each selection being
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!