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
ch4aika [34]
3 years ago
13

Can a Math expert please solve this and explain their answers. Thanks

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

  1. B
  2. 152°
  3. B
  4. A

Step-by-step explanation:

The measure of an arc is twice the measure of the inscribed angle that subtends that arc. A tangent is a special case where the chord that is one leg of the inscribed angle has a length of zero.

1. Short arc LJ is 2a°. Short arc LK is 2b°. Then arc JLK is 2(a+b)°, and short arc JK is ...

  arc JK = 360° -2(a +b)° . . . . . matches choice B

__

2. Long arc WY is twice the measure of "inscribed" angle WYZ, so is ...

  long ard WY = 2(104°) = 208°

Then short arc WY is ...

  arc WXY = 360° -208° = 152°

__

3. The arc measures are double those of the corresponding inscribed angles. We can add up the arcs around the circle:

  (arc AB +arc BC) = 2×70° = 140° . . . inscribed angle relation

  (arc BC +arc CD) = 2×98° = 196° . . . inscribed angle relation

  arc AB + arc BC +arc CD +arc DA = 360° . . . . sum around the circle

Adding the first two equations with arc DA, we have ...

  (arc AB + arc BC) +(arc BC +arc CD) +arc DA = 360° +arc BC

  140° +196° +80° = 360° +arc BC

  416° -360° = arc BC = 56° . . . . . matches choice B

__

4. Angle C and angle A are supplementary in this inscribed quadrilateral.

  angle C = 180° -98° = 82° . . . . . matches choice A

You might be interested in
Given the Arithmetic sequence A1,A2,A3,A4 53, 62, 71, 80 What is the value of A38?
Murrr4er [49]

Answer:

A_{38}  = 350

Step-by-step explanation:

The 5th term of the arithmetic sequence is 53. We can write the equation:

a + 4d = 53...(1)

The 6th term of the arithmetic sequence is 62. We can write the equation:

a + 5d = 62...(2)

Subtract the first equation from the second one to get:

5d - 4d = 62 - 53

d = 9

The first term is

a + 4(9) = 53

a + 36 = 53

a = 53 - 36

a = 17

The 38th term of the sequence is given by:

A_{38} = a + 37d

A_{38}  = 17+ 37(9)

A_{38}  = 350

3 0
3 years ago
Read 2 more answers
Can someone help me at least get this over with
tamaranim1 [39]
Here are the answers

5 0
3 years ago
3. What is the goal of education—especially when it comes to history and human rights? Cite evidence from this text, your own ex
zysi [14]

Answer:

The goal for human rights is to education aims to do the following: Enhance the knowledge and understanding of human rights. Foster attitudes of tolerance, respect, solidarity, and responsibility. Develop awareness of how human rights can be translated into social and political reality.

(Evidence)   -------›

"The following year, he immigrated to the United States and settled in Kansas City, Mo., where he married, had four children and became a successful importer of ladies' handbags. It would be 16 years before he began speaking publicly about the Holocaust, something he says he decided to do after talking to one of his neighbors."

8 0
3 years ago
Write an equation of the line passing through each of the following pairs of points. d (5, 0), (−3, 0)
Paul [167]
The answer to the question

5 0
3 years ago
The width of a rectangle is 1/2 its length. The perimeter of the rectangle is 300ft. What is the length in feet of the rectangle
sp2606 [1]

Answer:It's simple. All you need to do is subtract 2 from 40.

Step-by-step explanation: Length: 40 ft

Width: 38 ft

Hopefully that helped!

6 0
3 years ago
Other questions:
  • (7/8) (x) = -2/3<br><br> What is the value of x?
    15·1 answer
  • Point K is on line segment JL. Given JK = 5x + 7, JL = 2x+8, and KL = 4,
    11·1 answer
  • Can someone show the steps to factor 15x^x y^2 – 3x^3 y+75x^4
    14·1 answer
  • Find the vertex of the quadratic function: y= 2x^2 - 12x + 9
    13·1 answer
  • im stuck on this... martin saw a book he wanted with a price of $32.00 the clerk told him it was on sale for $28.00 what is the
    13·1 answer
  • Which relationship describes angles 1 and 2?
    11·2 answers
  • ASAP<br><br> how did you get the answer<br><br> (Will mark brianist)
    11·1 answer
  • Solve for y:<br> x + 2y = -8<br><br> y=-1/2x+4<br> y=-1/2x-4<br> y=-2x - 4<br> y=1/2x-4
    14·1 answer
  • If there are 5 cow and they and 12 more cows how many cows are there
    14·2 answers
  • Find the volume of the regular pyramid.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!