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
ASHA 777 [7]
3 years ago
5

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0
When the quadrilateral is inscribed in a circle (a "cyclic" quadrilateral), opposite angles are supplementary. This fact gives a relationship between angles B and D that lets us find the value of x.
  ∠B + ∠D = 180
  (2x-4) + (3x+9) = 180
  5x +5 = 180
  x = (180 -5)/5 = 35

Now, we can find angle C as
  ∠C = 180 - ∠A
  ∠C = 180 - (2×35+3)
  ∠C = 107°
You might be interested in
A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select
podryga [215]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.626

The confidence interval is:

\overline{x} \pm M

In which \overline{x} is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \overline{x} = 6.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

\overline{x} \pm M = 6.2 \pm 2.626(0.21)

And the correct answer is given by option c.

5 0
3 years ago
Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 mo
ddd [48]

Answer: There are 175 pages in the book.

Step-by-step explanation:

If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:

55-20= the pages Andre read

55-20=35

Andre read 35 pages.

If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)

35 x 5= 175

There are 175 pages in the book.

7 0
3 years ago
What is the slope of the line represented by the equation below?y=-2/3x+3 A-2/3 B. 2/3 C.2 D.x
Black_prince [1.1K]

ANSWER

A.

-  \frac{2}{3}

EXPLANATION

The given equation is

y =  -  \frac{2}{3}x + 3

This equation is already in the form:

y =mx + b

This is called the slope-intercept form.

The slope is

m =  -  \frac{2}{3}

and the y-intercept is 3.

The correct answer is A.

In a situation where the line is not given in the slope intercept form, then you must rewrite in this form before comparing.

8 0
3 years ago
4^3sqrt(3x-3)^2+2=38
vlada-n [284]
Here, 4³√(3x-3)² + 2 = 38

= 4³ (3x - 3) = 38 - 2

= 192x - 192 = 36

= 192x = 192 + 36

= x = 228/192

= x = 1.1875  [ Final Answer ]

Hope this helps!
4 0
4 years ago
Jesse uses this expression to determine how much to pay, including tax and tip, when he goes out to a restaurant:
lana66690 [7]

Answer:

x is the price of the meal

(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.

Step-by-step explanation:

The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.

5 0
3 years ago
Other questions:
  • Which economic indicator measure inflation?<br><br>A. GDP<br>B. CPI<br>C. Unemployment rate
    12·2 answers
  • Find the length of side x
    11·1 answer
  • How to mske a ten to find 17_8<br>​
    10·1 answer
  • Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0
    5·1 answer
  • Which point best approximates the square root of 3?
    10·2 answers
  • Reduce the fraction 36/48 to its lowest
    13·2 answers
  • The quotient of 12 and the product of 3 and 4 .
    11·2 answers
  • Write the sentence as an equation, then solve.
    7·1 answer
  • What is the domain and range of<br> y=2x-3.5?
    12·1 answer
  • Ms. Estrada plans to take 36 chocolate chip cookies to sell at a bake sale. She wants to bake enough to keep at least 24 cookies
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!