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
Nadusha1986 [10]
2 years ago
8

can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!

Mathematics
1 answer:
Klio2033 [76]2 years ago
6 0

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

========================================================

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

You might be interested in
Pls ans.thanks a lot
yawa3891 [41]

Answer:

you're answer is -2

Step-by-step explanation:

i hope this helped you have a nice day  :)

6 0
3 years ago
A meseum calculates the rate for groups by charging $4 per person along with a one-time $8 fee. If the cost for a group is $60,h
shusha [124]

Answer:

there are 13 people in the group

Step-by-step explanation:

First step is to subtract the one-time fee from the cost

$60 - $8 = $52

Second step is to divide by the cost per person

⇒ $52/$4 = 13

8 0
3 years ago
Read 2 more answers
Which expressions are equivalent to the one below? Check all that apply.
Paraphin [41]

Answer:

log (1/3)

Step-by-step explanation:

log  \: 2 - log \: 6 \\  \\  = log \frac{2}{6}  \\  \\  = log \frac{1}{3}

5 0
2 years ago
.
LUCKY_DIMON [66]

Answer: 7/24

Step-by-step explanation:

11/8 - 5/8=

= 11/8 - 5/8

= 11/12 + -5/8

= 22/24 + -15/24

= 22 + -15/<u>/24</u>

= 7/24

decimal form = 0.291667.

7 0
3 years ago
Which statement best describes the area of triangle abc shown below?
Archy [21]

Answer:

I think the fourth one and what is going on with it being upside down lol??????????????

Step-by-step explanation:

lmk if I helped but if I did not I will give ur points back:).

3 0
3 years ago
Other questions:
  • help please ! we are reviewing for this state test and i forgot how to do this. due at 8:00 pm tonight
    10·1 answer
  • Keith exercises x hours a week. troy exercises three hours less than keith and joe exercises two times more than troy. which exp
    7·1 answer
  • What is the distance between points (5, 5) and (1, 5) on a coordinate plane? units
    6·2 answers
  • Of the APR of a savings account is 7.8% and interest in compounded monthly, what is the approximate APY of the account?
    8·2 answers
  • Between what two consecutive integers is the square root of 29
    9·2 answers
  • PLEASE HELP precal!
    8·1 answer
  • What is 5,183.6 X 0.0016 =
    11·1 answer
  • For f(x) = 1/x-5 and g(x)= x^2-2 find A. (fog)(x) and B. (Gof) (6)
    14·1 answer
  • Johnny's drink coaster has a radius of 4 inches. what is the coasters diameter
    7·1 answer
  • HELP ME PLZ!!!!!!!!!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!