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
rodikova [14]
3 years ago
8

I need the answers for these pls help

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

1)

A. m arc QRS = 100°

B. m arc QRT = 255°

C. m arc UTS = 180°

D. m arc UTR = 205°

2)

1] The major arc CA = 255°

2] The minor arc AB = 90°

Step-by-step explanation:

In a circle:

  • The measure of an central angle is equal to the measure of its subtended arc
  • The measure of a circle is 360°
  • Any chord divides a circle into two arcs, a minor arc its measure is < 180° and a major arc its measure is > 180°, the sum of the measures of the minor and major arcs is 360°
  • If the measures of the minor and major arcs are equal, then each arc represents a semi-circle

1)

In circle O

A.

∵ m∠QOR = 75°

∵ ∠QOR subtended by arc QR

- By using the 1st note above

∴ m of arc QR = m∠QOR

∴ m of arc QR = 75°

∵ m∠ROS = 25°

∵ ∠ROS subtended by arc RS

∴ m of arc RS = m∠ROS

∴ m of arc RS = 25°

The measure of arc QRS is the sum of the measures of arcs QR and RS

∴ m arc QRS = 75° + 25° = 100°

B.

∵ m∠SOT = 155°

∵ ∠SOT subtended by arc ST

∴ m of arc ST = m∠SOT

∴ m of arc ST = 155°

The measure of arc QRT is the sum of the measures of arcs QR, RS and ST

∴ m arc QRT = 75° + 25° + 155 °= 255°

C.

∵ m∠UOT = 25°

∵ ∠UOT subtended by arc UT

∴ m of arc UT = m∠UOT

∴ m of arc RUT = 25°

The measure of arc UTS is the sum of the measures of arcs UT and TS

∴ m arc UTS = 25° + 155° = 180°

D.

The measure of arc UTR is the sum of the measures of arcs UT, TS and SR

∴ m arc UTR = 25° + 155° + 25 = 205°

2)

1]

∵ The sum of the measures of the minor and major arcs is 360°

∵ m of minor arc AC = 105°

- Subtract 105 from 360° to find the measure of the major arc CA

∴ m of major arc CA = 360° - 105°

∴ m of major arc CA = 255°

2]

∵ m of major arc AB = 270°

- Subtract 270° from 360° to find the measure of the minor arc AB

∴ m of minor arc AB = 360° - 270°

∴ m of minor arc AB = 90°

You might be interested in
Please help what is the area?
ratelena [41]

Answer: 70 square units

6 0
3 years ago
PLEASE HELP I WILL MARK BRAINLIST
shtirl [24]
The minimum is 91. The first quartile is 112. The median is 173. The third quartile is 215. The maximum is 253.
6 0
3 years ago
Given n//m <br>prove m and 3 = m angle 5 ​
Alla [95]

Answer:

7

Step-by-step expla

5 0
3 years ago
What is 2 X (6+ 2 + 8) -4
VladimirAG [237]

Answer:

The correct answer is 32x - 4

Step-by-step explanation:

1) Simplify 6 + 2 to 8.

2x(8 + 8) - 4

2) Simplify 8 + 8 to 16.

2x \times 16 - 4

3) Simplify 2x × 16 to 32x.

32x - 4

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>32x</u><u> </u><u>-</u><u> </u><u>4</u>.

4 0
3 years ago
Pls help i need to pass
Phoenix [80]

Answer:

d x=+-3

Step-by-step explanation:

divide both sides by 2

4 0
3 years ago
Read 2 more answers
Other questions:
  • I really need help on this sooo yeah​
    9·1 answer
  • Clare spent a total of 25 minutes at the track. she spent 5 minutes stretching and walking 4 laps around the track. if she walke
    6·1 answer
  • For wages less than the maximum taxable wage base, Social Security contributions (including those for Medicare) by employees are
    10·1 answer
  • Solve the equation.<br><br> y + 3 = –y + 9<br><br> y = 1<br> y = 3<br> y = 6<br> y = 9
    7·2 answers
  • A crop initially has N₀ Bacterias. After 1 hour the crop has reached ( 3/2 ) N₀ Bacterias. If the rapid growth in that crop is p
    6·1 answer
  • What is the solution set of the equation (x - 2)(x - 8) = 0?
    7·2 answers
  • On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it
    7·1 answer
  • Lauren is working two summer jobs Lifeguarding and washing cars .She can work no more then 9 hours Altogether between both jobs
    10·1 answer
  • Solve 7b = 91<br> Please answer
    8·2 answers
  • HELP PLEASE ILL GIVE 20PTS AND BRAINLIEST TO RIGHT ANSWER
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!