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
Dimas [21]
3 years ago
6

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

The measure of ∠A=65°

Step-by-step explanation:

From the given figure, it can be seen that quadrilateral ABCD is inscribed in a circle and

Since, we know that opposite angles of the quadrilateral inscribed in circle is supplementary, therefore

∠D+∠B=180°

⇒x+148=180

⇒x=180-148

⇒x=32°

therefore, the measure of ∠A=2x+1=2(32)+1=65^{{\circ}}

Anna [14]3 years ago
6 0
A quadrilateral, has 4 sides and its internal angles sum, add up to 360, now... you have 3 angles give.. .but we don't have C

so.. C is the difference of all the three angles from 360 or  \bf \measuredangle C=360-x-(2x+1)-148\implies \measuredangle C=360-x-2x-1-148   whatever that is, now, you'll get some value in x-terms

so.... now once we know what C is

you can if you want, do a search in google for "inscribed quadrilateral conjecture",  I can do a quick proof if you need one

but in short, for a quadrilateral inscribed in a circle, each pair of opposites angles are "supplementary angles", namely they add up to 180°

so.. what the dickens does all that mean?   well D+B=180 and A+C = 180

now. we know what A is, 2x+1
and by now, you'd know what C is from  360-x-2x-1-148

so... add them together then   and

\bf \begin{array}{cccclllll}
A&+&C&=&180\\
\uparrow &&\uparrow \\
(2x+1)&+&(360-x-2x-1-148)&=&180
\end{array}

solve for "x"


You might be interested in
Multiply. Write your answer as a fraction in simplest form.<br> 2x7/16
Orlov [11]

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

3 0
2 years ago
If the correlation between height and weight of a large group of people is 0.75​, find the coefficient of determination​ (as a​
Shtirlitz [24]
Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.

The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).

We are given:
R = 0.75

So,
R²  = 0.75²

R² = 0.5625

R²  = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.
4 0
3 years ago
Read 2 more answers
A graphic artist has a picture that is 5 inches by 10 inches. The picture
tangare [24]

Answer:

15 inches

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
9 x 3/9 is greater than less than or equal to 9?
Elena-2011 [213]

Answer:

9 x 3/9  is less than 9

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Cinco menos tres cuartos x ?
Arte-miy333 [17]

Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

sry if im wrong hope this helps

brainliest? please?

3 0
3 years ago
Other questions:
  • What is the volume of the figure?<br> Please help!
    7·1 answer
  • Calculus 2: Sum from n=1 to infinity of (n^4 + ((-1)^n)*n^2) / ((-n)^5 + 3(n^3))
    10·1 answer
  • Please do it fast......
    15·1 answer
  • BRAINLIEST!!PLEASE HELP ME
    12·2 answers
  • Using similar triangles to find an unknown value. What is the value of x?
    8·1 answer
  • Which number is written in scientific notation?
    9·1 answer
  • 4.
    8·1 answer
  • What is the probability of rolling an odd number on a number cube containing numbers 1 through 6
    7·1 answer
  • A CBS News poll asked 606 randomly selected women and 442 randomly selected men, "Do you think putting a special tax on junk foo
    11·1 answer
  • URGENT: (TIMED) Determine the equation of the circle graphed below.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!