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
loris [4]
2 years ago
8

Find the value of x in the diagram shown below.

Mathematics
2 answers:
koban [17]2 years ago
5 0

Answer:

a) <u>∡ADC = 270°</u>

b) <u>∠DAE = 38°</u>

Step-by-step explanation:

Using Inscribed Angle Theorem :

  • ∡ADC = 2 x ∠ABC
  • ∡ADC = 2 x 135°
  • <u>∡ADC = 270°</u>

Similarly :

  • ∠DAE = 1/2 x ∡DE
  • ∠DAE = 1/2 x 76°
  • <u>∠DAE = 38°</u>
Sloan [31]2 years ago
5 0

Answer:

  a) arc ADC = 270°

  b) angle DAE = 38°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. The converse of this is that the arc is twice the measure of the inscribed angle that subtends it.

__

<h3>a)</h3>

Arc ADC is twice the measure of inscribed angle ABC, so is ...

  Arc ADC = 2 × 135° = 270°

__

<h3>b)</h3>

Angle DAE is half the measure of the arc it subtends, so is ...

  Angle DAE = 1/2 × 76° = 38°

You might be interested in
Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. 50 361 363 586
Kipish [7]
It appears that none of your option choices are correct,, are you sure you copied them right ? I will show you how to solve this and how I got my answer.
The first step for solving this is to add the numbers in the parenthesis.
3 × 11 × 2 - 14 ÷ 7
Divide -14 by 7.
3 × 11 × 2 - 2
Divide the first 3 numbers together.
66 - 2
Subtract the numbers together to get your final answer.
64
Let me know if you have any further questions.
:)
4 0
3 years ago
Read 2 more answers
What of the following exponential functions is represented by the data in the table?
patriot [66]

Answer:

f(x) = ( 1/3) ^ (x)

Step-by-step explanation:

The function is

f(x) = (1/3) ^ (x)

When x = 1  f(x) = 1/3

when x=2    f(x) = 1/9

When x = -1  f(x) = ( 1/3) ^ -1 = 3/1 =3

7 0
2 years ago
I need help in solving this problem (ASAP)
zhannawk [14.2K]

Answer:

The answer is y=24

Step-by-step explanation:

The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em>\sqrt{3}<em>:2x. </em>Since we know that the 30 degree value is 8\sqrt{3}, we can establish that the 60 degree value is 8\sqrt{3}*\sqrt{3} = 24.

4 0
3 years ago
Variable y varies directly with variable x, and y = 6 when x = 9.
lesantik [10]
X and y are proportional hence when y is multiplied by a number, x is multiplied by the same number.

18=6*3 hence when y=18,x=9*3=27

x=27
5 0
3 years ago
Read 2 more answers
Identify which table shows a direct variation.
DochEvi [55]
Only Table 2 shows direct variation.  Every y value is 7 times the associated x value.



8 0
3 years ago
Other questions:
  • Tell whether each statement is always (A), sometimes (S), or never (N) true.
    5·1 answer
  • What is equivalent to12/18
    9·2 answers
  • Find the area of each figure to the nearest tenth<br><br>I need helppp
    8·1 answer
  • What are the solutions to the following system of equations? Select the correct answer. y=x^2-4x+8 4x+y=12
    15·2 answers
  • A hot air balloon is spotted simultaneously by a man and a woman 3 ½ miles apart. If the angle of elevation from the man to the
    9·1 answer
  • A store charges 32% extra for credit items. if the cash price is $1100, what is the credit price?​
    9·1 answer
  • 1/3(x+9)=8 Please help
    13·2 answers
  • Which expression is equivalent to 9x5y16 this is timed help
    8·1 answer
  • Below are two images with scale copies of each other. Determine the scale factor for each of the following:
    5·1 answer
  • The space program has 6 astronauts in outer space and 10 astronauts on Earth. What is the ratio of the number of astronauts in o
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!