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
jarptica [38.1K]
3 years ago
8

What is the value of c, d, a, and b?

Mathematics
2 answers:
kaheart [24]3 years ago
6 0

Answer:

By the inscribed angle theorem, the measure of inscribed angles is half the measure of its intercepted arc, the inscribed angle measuring 100°.

Intercepts the arc measuring (a+99)^{o} so:

100=1/2(a+99)

200=a+99

Subtract 99 from both sides

a=101

By the corollary 3 of the inscribed angle theorem, the opposite angle of a quadrilateral inscribed in a circle are supplementary so:

c+96=180

Subtract 96 from both sides

c=84

and,  d+100=180

d=80

The inscribed angle measuring c° intercepts the arc measuring (a+b)° so:

c=1/2(a+b)

84=1/2(101+6)

168=101+b

b=67

<u>OAmalOHopeO</u>

amid [387]3 years ago
4 0

Answer:

a=101

b=67

c=84

d=80

Step-by-step explanation:

The measure of an intercepted arc will always be twice the measure of the inscribed angle

to find A:

2(100)=a+99

200=a+99

a=101 degrees

d=80 degrees because 100*2=200, 360-200=160, and 160/2=80

You can find c by subtracting 100, 96, and 80 from 360 and you get c=84 degrees

Find the measure of b by using what you found as measure of c and a

2(84)=101+b

168=101+b

b=67

You might be interested in
Find the first, fourth, and eighth terms of the sequence. a(n)=-2 x 2^n-1
leonid [27]

Answer:

2, 16 and 256.

Step-by-step explanation:

Just substitute  for n:-

first term ( when n = 1) =  2 * 2^(1-1)

= 2 * 1 =  2

4th term =  2 * 2^(4-1) =  16

8th term = 2* 2^(8-1) = 256

8 0
3 years ago
What is the value of X?
IRISSAK [1]
X=12
Hope this helps
10x-20+6x+8=180º

6 0
3 years ago
Acellus<br> Find the perimeter of this triangle.<br> 7 ft<br> 8 ft<br> 9 ft<br> P = [?] ft<br> Enter
yan [13]

Answer:

can't you do it by yourself

Step-by-step explanation:

go away

3 0
2 years ago
Read 2 more answers
Anybody help me please
GrogVix [38]

Answer:

Rotation 180° counterclockwise about the origin

7 0
3 years ago
Read 2 more answers
Choose the triangle that seems to be congruent to the given one
vivado [14]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Which systems of equations have no solutions? (Check all that apply.)
    5·2 answers
  • What does y and w equal
    7·1 answer
  • There is a piece of tape attached to a hula hoop. The tape rotates to (_7, 20) during one spin. What is the sine value of this f
    11·1 answer
  • Does anybody understand 1st grade because I don’t
    12·2 answers
  • Which function below is the inverse of f(x) = x2 − 25?
    11·2 answers
  • What’s the surface area to 1,2,3 and 4
    12·1 answer
  • David was in three javelin compition with a mean distance of 40.9.what is the total altogether
    9·1 answer
  • PLEASE HELP 20 points
    7·1 answer
  • URGENT!! Really need help on this test
    15·2 answers
  • 2/x+3/y=9/x;4/x+9/y=21/xy(x=0,y=0)​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!