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
In-s [12.5K]
3 years ago
11

What is the measure of each intercepted arc for each inscribed angle of a square inscribed in a circle?

Mathematics
1 answer:
julsineya [31]3 years ago
6 0

Answer:

The measure of the angle of each of the intercepted arc is 180°

Step-by-step explanation:

An intercepted arc is an encased (between chords) portion of the circumference of the circle. The chords that form the intercepted arc meet at a point

An inscribed angle is the angle is an angle formed between two chords that meet at a point called the end point

For the inscribed square, the symmetry has it that the diagonal is the same as the diameter of the circle as the diagonals bisect each other having equal distances on either side to the circumference of the circle.

Given that the angles in the vertices of the square are 90° and the point of intersection of the two chords forming the vertex are at the ends of the diameter of the circle, which passes through the center of the circle, the angle 90° at the vertex is half the angle at the center which is the angle of the intercepted arc

∴ The measure of the angle of each of the intercepted arc = 2× 90 = 180°.

You might be interested in
A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet a
erastovalidia [21]

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

8 0
3 years ago
What is 7 times 7 over 1 equal
Alex17521 [72]

Answer:

49

Step-by-step explanation:

7*7/1=49 This is because 7/1 equals 7 since 1 goes into 7, 7 times so really the equation 7*7 which still equals 49.

7 0
3 years ago
Read 2 more answers
A used book store will trade 2 of its books for 3 of yours. If Val brings in 18 books to trade, how many books can she get from
Shalnov [3]
You need to set it up as a fraction and make the fractions equal each other. 
2/3 (2 of their books for 3 of yours)
x/18 (x amount of their books for 18 of yours)
(2/3)=(x/18)
multiply both sides by 18 
and you get 
36/3 which reduces to 12

so your answer is 12
5 0
3 years ago
Read 2 more answers
David purchased some cookies at the cost of 5 for $4 and sold them at 4 for $5. David made a profit of $180 in total. How many c
horsena [70]

David purchased some cookies at the cost of

5 for $4 (5/4=1.25) and


sold them at 4 for $5(4/5=0.80).


To find cost per cookie subtract 1.25-0.80=0.45


David made a profit of $180 in total ( divide profit per cookie cost: 180/0.45= 400)


How many cookies did David purchase to make that much money?


He needed to make 400 cookie to make the profit of $180.



5 0
3 years ago
Please help ASAP! thank you ( geometry)
Lostsunrise [7]

Answer:

.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles are used.
    8·1 answer
  • Ggfffggghhhhfffffdgttyyu
    15·2 answers
  • Solve the inequality. 4 + 9x > 8 − 3x
    5·2 answers
  • Simplify.<br> (2 - 61) - (-10 + 4i)
    7·1 answer
  • Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes
    11·2 answers
  • Can someone help me please
    5·1 answer
  • Osborne invested $17,000 in stocks and bonds.
    14·1 answer
  • Given<br> .<br> f(x) = 3x2 + 4x – 30 find f (4)<br> Show your work on the sketch pad below.
    9·1 answer
  • Please answer i don't have muc time
    15·1 answer
  • A bank pays 7% interest on 3-year certificates of deposit. What is the value of a $500 certificate after one year? Give your ans
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!