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
den301095 [7]
3 years ago
15

Please can some explain how to identify angles that on the same segment? ​

Mathematics
1 answer:
sp2606 [1]3 years ago
8 0

Step-by-step explanation:

Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Picture 1  a° = a°  they are the same

Picture 2  p= 52°  q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.

Picture 3 + 4  Let the obtuse angle MOQ = 2x.  

Using the circle theorem, the angle at the centre is twice   the angle at the circumference.

Therefore picture 4 tells us and proves;

Angle MNQ = x and angle MPQ = x.

Picture 5

A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.

Picture 6

The opposite angles in a cyclic quadrilateral add up to 180°.

a + c = 180°

b + d = 180°

Picture 7

Example

Calculate the angles a and b.

The opposite angles in a cyclic quadrilateral add up to 180°.

This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °

So hopefully this will help you remember the format here for quadrilateral shapes within a circle.

b = 180 - 140 = 40°

a = 180 - 60 = 120°

You might be interested in
If ON = 7x - 5, LM = 6x + 4, NM = x + 6, and OL = 8y + 3, find the values of X and Y for which LMNO must be a parallelogram. Ple
Sladkaya [172]

The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

<h3>Properties of a Parallelogram</h3>
  • The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
  • Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.

Therefore:

ON = LM

Substitute

7x - 5 = 6x + 4

Add like terms

7x - 6x = 5 + 4

x = 9

OL = NM

Substitute

8y + 3 = x + 6

Plug in the value of x

8y + 3 = 9 + 6

8y + 3 = 15

8y = 15 - 3

8y = 12

y = 12/8

y = 1.5

Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

Learn more about parallelogram on:

brainly.com/question/7200842

6 0
2 years ago
Can anybody please help me on this
Digiron [165]

Answer:

The length of AA' = √29 = 5.39

Step-by-step explanation:

* Lets revise how to find the length of a line joining between

 any two points in the coordinates system

- If point A is (x1 , y1) and point B is (x2 , y2)

- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]

* Lets use this rule to solve the problem

∵ Point A is (0 , 0)

∵ Point A' = (5 , 2)

∵ (x2 - x1)² = (5 - 0)² = 5² = 25

∵ (y2 - y1)² = (2 - 0)² = 2² = 4

∴ The length of AA' = √(25 + 4) = √29 = 5.39

6 0
2 years ago
I NEED HELP QUICKLY PLEASE PLEASE PLEASE
3241004551 [841]
A. you plug in to a calculator, which will give 1840.986 so you need to round up to 1840.99. if you truncate it to .98 then he won't reach 2000 in 3 years

b. for this one if you look at the equation given to find the principle it is principle = result (1+rate) ^ -time

if you re arrange this you get result=principle (1+rate)^time
so result = 1840.99(1.028)^5
= 2113.57
3 0
3 years ago
Read 2 more answers
For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95
Liula [17]
From the data shown in the scater plots, the points are scattered apart which means that r is not close to 1.

Also the data points increase to the right which means that r is positive.

Therefore, the estimate for r in the data shown in the scatter plot is 0.55
6 0
3 years ago
Given that 1/f = 1/u + 1/v , express u in terms of v and f
JulijaS [17]

Answer:

u = fv/(v - f)

Step-by-step explanation:

1/f = 1/u + 1/v

1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv

1/u = (v-f)/fv

u = fv/(v - f)

5 0
3 years ago
Other questions:
  • A bag contains 8 blue marbles, 6 red marbles, and 4 green marbles. What is the probability of se
    6·1 answer
  • Please help i need to put the things on the right inside the boxes please help ik this app is like dead and people just farm but
    15·1 answer
  • Madison planted her garden with 2 5 marigolds and 3 7 tulips. What fraction of the plants in the garden are either marigolds or
    5·2 answers
  • What is the volume of a rectangular prism that has a length of 9 feet, and width of 5 feet, and height of 7.5 feet
    5·1 answer
  • Please help! Explanation please!​
    6·1 answer
  • Please help me solve!-
    12·1 answer
  • Solve by using substitution. <br>y=3x <br>2x+ 5y = 34​
    7·2 answers
  • Helpppp pleaseeeeeeee
    5·1 answer
  • If I make 2,500 dollars a minute.How much money will I make in 8 hours?
    13·2 answers
  • Find the surface area of the composite figure.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!