2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.
Answers
A cyclic quadrilateral is a quadrilateral whose vertices all touch the circumference of a circle.
Opposite angles in a cyclic quadrilateral add to 180 degrees. Quadrilateral ABCD is a cyclic quadrilateral.
< A+<C=180
Substituting <A and <B values given in figure:
x+2+x-2=180
Adding like terms:
2x=180
Dividing both sides by 2
x=90°
<A=x+2=90+2=92°
<C=x-2=90-2=88°
<D=x-10=90-10=80°
<B+<D=180
<B=180-80=100°
The angles of the quadrilateral ABCD are
<A=92°
<B=100°
<C=88°
<D=80°
Related Questions
There are 30 dogs at the park. 5/6 of the dogs are large. Which method is a way to find the number of large dogs at the park?
Answers
Answer:
Divide 30 by 6 and then multiply the quotient by 5.
please help me find the simple interest.
Answers
I = $925*0.0775*(30/360)
I = $5.97
The simple interest is $5.97.
if cos28 = x/4, find x(3sf)
Answers
The value of x when cos(28°) = x/4 is found by solving the equation, leading to x = 3.53 to three significant figures. This involves basic trigonometry and arithmetic operations.
Explanation:If cos(28°) = x/4, we are asked to find the value of x to three significant figures. This type of problem involves trigonometry, a branch of mathematics that deals with the relationships between the sides and angles of triangles. To solve for x, we use the equation given and manipulate it to isolate x.
Given that cos(28°) = x/4, we can find x by multiplying both sides of the equation by 4:
x = 4 * cos(28°)Using a calculator, cos(28°) approximately equals 0.8829. Therefore, x is equal to 4 * 0.8829, which simplifies to:
x = 3.5316To three significant figures, x = 3.53.
if (-4,-2) and (2,6) are opposite points on a circle, what is the equation of the circle?
Answers
The equation of the circle is
.. (x +1)^2 +(y -2)^2 = 25
Which question is statistical?
How old is my grandmother?
What is the average age of my friends?
What are the ages of my friends' grandparents?
Where did you celebrate your last birthday?
Answers
Answer:
The answer is actually What are the ages of my friends grandparents. Trust me i took the test on k12.
Step-by-step explanation
Hiker's rate is 6 mph, which is 3 11 of the bicycle's rate. How fast do they move towards each other? How fast do they get closer if the bicyclist catching up with the hiker?
Answers
https://brainly.com/question/9304180
Answer:
there is like 5 other answered of this same problem
Step-by-step explanation:
A box of fruit has three times as many nectarines as grapefruit. Together there are 36 pieces of
fruit. How many pieces of each type of fruit are there?
write an equation to repsent this problem
Answers
The total amount of fruit is g+n which is also g+3g=4g. But there are 36, so 4g=36. That means g=9. That also means that n=27.
There are 9 grapefruits and 27 nectarines.
Final answer:
The problem involves forming and solving a linear equation to determine the number of nectarines and grapefruits in a box, where the total count is 36 and the nectarines are three times as many as the grapefruits. By setting up the relationship as 'n = 3g' and 'n + g = 36', we can solve for 'g' and 'n' to find that there are 9 grapefruits and 27 nectarines.
Explanation:
The student's question involves solving a linear equation to find the number of nectarines and grapefruits in a box when given a specific ratio and total. Let's denote the number of grapefruits as 'g' and the number of nectarines as 'n'. According to the problem, there are three times as many nectarines as grapefruit, so we can write this relationship as 'n = 3g'. Also, we know that the total number of fruit is 36, which gives us another equation: 'n + g = 36'.
Now we have a system of two equations:
n = 3gn + g = 36To find the values of 'g' and 'n', we can substitute the first equation into the second one, resulting in '3g + g = 36', which simplifies to '4g = 36'. Dividing both sides by 4 gives us 'g = 9'. Having found the number of grapefruits, we can now determine the number of nectarines by multiplying the number of grapefruits by 3, thus 'n = 3 times 9 = 27'.
So, there are 9 grapefruits and 27 nectarines in the box.
You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this month are $178.50. Let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. Graph the equation that models this situation
Answers
x = represent the number of hours worked stocking shelves
y = represent the number of hours worked in sales
We write the equation:
11.90y + 10.50x = 178.50
Observe that the equation represents a line of negative slope.
Answer:
See graphic in attached image.
Answer:
The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]
Step-by-step explanation:
Let 'x' represent the number of hours worked stocking shelves
Let 'y' represent the number of hours worked in sales.
You earn $11.90 per hour as a salesperson i.e. 11.90y.
You earn $10.50 per hour stocking shelves i.e. 10.50x.
Your combined earnings this month are $178.50.
i.e. [tex]10.50x+11.90y= 178.50[/tex]
The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]
To plot the graph we find x and y intercept,
For x-intercept put y=0,
[tex]10.50x+11.90(0)= 178.50[/tex]
[tex]x=\frac{178.50}{10.50}[/tex]
[tex]x=17[/tex]
Point is (17,0).
For y-intercept put x=0,
[tex]10.50(0)+11.90y= 178.50[/tex]
[tex]y=\frac{178.50}{11.90}[/tex]
[tex]y=15[/tex]
Point is (0,15).
Refer the graph attached below.
what is the answer to 4d + 6 = 42
Answers
To solve 4d + 6 = 42, let's subtract 6 on both sides to isolate the variable.
4d + 6 = 42
-6 -6
-----------------
4d = 36
divide both sides by 4
4d = 36
d = 9
So your answer is d = 9.
Hope this helped!! :9
Subtract 6 from each side
4d + 6 - 6 = 42 - 6
4d = 36
Divide each side by 4
4d ÷ 4 = 36 ÷ 4
d = 9
Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.
Answers
To sketch the region, find the intersection points and use them to form a triangle. The centroid is found by taking the average of the x and y values of the vertices.
Explanation:To sketch the region bounded by the curves y=3x^3, x+y=4, and y=0, we first need to find the x-coordinates of the points where the curves intersect. Setting the equations equal to each other, we get 3x^3 + x = 4. Solving for x, we find x = 1. The region bounded by the curves is a triangle with the vertices (0,0), (1,0), and (1,3).
To find the coordinates of the centroid, we first find the x-coordinate by taking the average of the x-values of the vertices: (0 + 1 + 1)/3 = 2/3. Next, we find the y-coordinate by taking the average of the y-values of the vertices: (0 + 0 + 3)/3 = 1. So, the coordinates of the centroid are (2/3, 1).
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In Mark's class, there are 15 students with brown hair, 3 students with blonde hair, and 5 students with black hair. What is the ratio of students with brown hair to students with black hair?
Answers
Answer: 3 : 1
Step-by-step explanation:
We know that the ratio of A to B is given by :-
[tex]\dfrac{A}{B}[/tex] or A : B .
Given : Number of students having brown hair = 15
Number of students having black hair = 5
Then , the ratio of students with brown hair to students with black hair will be :-
[tex]=\dfrac{\text{No. of students with brown hair}}{\text{No. of students with black hair}}\\\\=\dfrac{15}{5}=\dfrac{3}{1}[/tex]
Hence, the ratio of students with brown hair to students with black hair = 3 : 1.
Answer:
3 to 1
Step-by-step explanation:
I did the quiz
Hector spent 3/4 of his money the day after he cashed his paycheck of $50. Let m represent the amount of money Hector spent.
Which equation matches the word problem?
How much money did Hector spend?
Answers
Answer:
3/4(50)=m and $37.50
Step-by-step explanation:
i just did it and got it right
The equation for this word problem is m = (3/4) * 50 and Hector spent $37.5 from his money.
Data;
Paycheck = $50Fraction spent = 3/4 of 50What is an Equation?This is a mathematical statement used to express word problem in order for us to solve it algebraically.
In this question, he spent 3/4 of his money.
His paycheck is $50 and the amount he spent is m
The equation to represent this will be
[tex]m = \frac{3}{4}* 50[/tex]
Let's simplify this and solve for m
[tex]m = \frac{3}{4} * 50\\m = \frac{3}{4}* 50\\ m = 75/2 \\m = 37.5\\[/tex]
Hector spent $37.5 from his money.
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A parallelogram has an area of 108 square centimeters. If the base measures 18 centimeters, what is the height?
Answers
The height of the parallelogram is 6cm.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Area of parallelogram = 108 square cm
Base = 18 cm
So, Area of parallelogram
108 = base x height
108 = 18 x height
Height= 108/ 18
Height = 6 cm
Thus, the height is 6 cm.
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Which of the following describes the polynomial function?
Answers
Explanation:
1) The leading coefficient is the coefficient of the leading term. The leading term is the the term with the highest degree.
The leading term is dominant when x grows. So, for x → infinity the value of a polynomial trends toward infinity if the leading coefficient is positive and toward negative infinity if the leading coefficient is negative.
The graph shows that the function goes to infinity as x grows, so the leading coefficient is positive, which discards the first choice (that the function has a negative leading coefficient).
2) It is right that the polynomial has an odd degree.
The degree of a polynomial is the highest degree of its individual terms.
Odd-degree polynomials have ends that head off in opposite directions, while the ends of even-degree polynomilas come in and leave out the same quadrant.
It is easy to remember is you think that even-degree polynomials behave, on their ends, like quadratics, and all odd-degree polynomials behave, on their ends, like cubics.
3) The other statements are easy to discard: there are two turns on the graph and the function has 3 x-intercepts.
Answer:
The function has an odd degree
Step-by-step explanation:
Edge 2020
A letter grade of a B+ average in a regular class counts for how many points?
Answers
Answer:
3.33
Step-by-step explanation:
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. refer to exhibit 6-5. what is the probability that a randomly selected item will weigh more than 10 ounces?
Answers
_____
My probability app says the probability is 0.15866.
s the data set “types of fruit at the grocery store” qualitative or quantitative? If it is quantitative, is it discrete or continuous?
Answers
Answer:
Quantitative and discrete
Step-by-step explanation:
Given that the data set consists of types of fruit at the grocery stores. We can see that the types of fruits at the grocery stores is countable. i.e. we can have a one to one correspondence with type of fruits and natural numbers. Hence the variable is discrete.
It will in numerical numbers so it is quantitative.
Put together we can say that “types of fruit at the grocery store”
is a
i) quantitative variable
ii) discrete
What is 500,000,115 written in standard form
Answers
Horatio weighs three times as much as Kimberly, and together they weigh a total of 95 kilograms. If h represents Horatio's weight, and k represents Kimberly's weight, which system of equations could you use to determine how much each weighs?
Answers
To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.
Explanation:To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Let h represent Horatio's weight and k represent Kimberly's weight.
We are told that Horatio weighs three times as much as Kimberly:
h = 3k
We are also told that together they weigh a total of 95 kilograms:
h + k = 95
These two equations form a system of equations. We can solve the system by substituting the value of h from the first equation into the second equation:
3k + k = 95
Combining like terms, we get:
4k = 95
Dividing both sides by 4, we find:
k = 23.75
Substituting this value back into the first equation, we find:
h = 3(23.75) = 71.25
Therefore, Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.
Final answer:
The equations h = 3k and h + k = 95 can be used to determine the individual weights of Horatio and Kimberly. Solve for one variable and substitute to find the other.
Explanation:
The system of equations to determine how much Horatio and Kimberly weigh, given that Horatio weighs three times as much as Kimberly and together they weigh a total of 95 kilograms, can be represented by:
h = 3k (Horatio weighs three times as much as Kimberly)
h + k = 95 (Together, Horatio and Kimberly weigh 95 kilograms)
To solve for their individual weights, substitute the expression 3k for h in the second equation and solve for k. Once k is found, multiply it by 3 to find h. This process is part of addition in kilograms and uses equations to find the total sum of weights.
What is 48% of $430.00?
(calculate the percent or value)
I need answers!
Answers
Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get?
Answers
$1.91 ÷ $0.25 = 7 R 0.16
The max number of refills he can get is 7
Chen can jump rope 60 times a minute at that rate how many jumps can he make in 9 minutes
Answers
So
9min=60÷1×9
=540 jumps
Warehouse area is 100 ft long, 200 ft wide and 16 feet high. The total weight the warehouse floor can hold is 4000 tons. What is the safe floor load in pounds per square foot?
Answers
Find two consecutive whole numbers that the square root of 17 lies between.
Answers
The square root of 17 is between the integers 4 and 5
In order to know which two whole numbers the square root of 31 fall ib between, we need to get a perfect square that is less than 31 and also greater than 31
The two perfect numbers are 16 and 325
Taking the square root of these numbers;
√16 = √4 *4 = 4
√25 = √5 * 5 = 5
This shows that the square root of 17 is between the integers 5 and 6
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Jason and Donny painted a room and received $300. To complete the painting job Jason spent 4 hours and 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $300 in proportion to the time each spent painting, how much did Donny receive?
Answers
Donny spent 2.25 hours painting, while Jason spent 4.4167 hours. The total time spent was 6.6667 hours, and Donny's percentage of this time was approximately 33.75%. Therefore, Donny received $101.25 of the $300 payment.
To determine how much Donny received from the $300 for the painting job, we first need to calculate the total amount of time Jason and Donny spent painting, then divide the total earnings based on the proportion of time spent. Jason spent 4 hours and 25 minutes, which is equivalent to 4.4167 hours (4 hours and 25 minutes / 60 minutes). Donny spent 2 hours and 15 minutes, which is equivalent to 2.25 hours (2 hours and 15 minutes / 60 minutes).
The total time spent on the painting job is the sum of Jason's time and Donny's time, which is 4.4167 + 2.25 = 6.6667 hours. The proportion of time Donny spent is 2.25 hours / 6.6667 total hours, which equals approximately 0.3375 (or 33.75%).
Therefore, Donny's share of the $300 is 0.3375 * $300, which equals $101.25. As a result, Donny received $101.25 for his part of the painting job.
Determine which of these illustrates two quantities that combine to make 0. A) Latanya lost ten pounds and then gained six pounds. B) A business's profit if its income is more than its expenses. Eliminate C) It is twenty degrees below zero and then the temperature rises ten degrees. D) Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
Answers
Which expression is equivalent to −1/4x + 1/2 ?
−1/4 (−x + 1/2)
1/4 (−x + 1/2)
−1/4 (x + 2)
1/4 (−x +2)
Answers
= (1/4)(-x) + (1/4)(2) . . . . . . factor 1/4 from each term. (1/2 = 2/4)
= 1/4 (-x +2)
Maria wrote the equation log(x/2)+log(20/x^2)=log8. What is the solution to Maria's equation?
a. x=3/10
b. x=4/5
c. x=5/4
d. x10/3
Answers
We use the properties of logs to rewrite the equation:
[tex]\log[(\frac{x}{2})(\frac{20}{x^2})]=\log8 \\ \\\log(\frac{20x}{2x^2})=\log8 \\ \\\log(\frac{10}{x})=\log8[/tex]
Get all of the logs on the same side of the equation y subtracting log 8:
[tex]\log(\frac{10}{x})-\log8=\log8 - \log8 \\ \\\log(\frac{10}{x})-\log8=0[/tex]
Use the properties of logs to rewrite:
[tex]\log(\frac{10}{x}\div8)=0 \\ \\\log(\frac{10}{x}\div\frac{8}{1})=0 \\ \\\log(\frac{10}{x}\times\frac{1}{8})=0 \\ \\\log(\frac{10}{8x})=0[/tex]
Exponentiate:
[tex]10^0=\frac{10}{8x} \\ \\1=\frac{10}{8x}[/tex]
Multiply both sides by 8x:
1*8x = (10/8x)*8x
8x=10
Divide both sides by 8:
8x/8 = 10/8
x = 10/8 = 5/4
Answer:
C. x=5/4
Step-by-step explanation:
Correct answer on edge 2022
A rock is dropped into a water well and it travels approximately 16t2 in t seconds. If the splash is heard 3.5 seconds later and the speed of sound is 1087 feet/second, what is the height of the well?
Answers
HELLLPPP PLLZZZZ IIII BEEEEGGGG UUU
HELPPP PLLLZZZ III BEEEG
For what value of x is the square of the binomial x+1 twenty greater than the square of the binomial x–3?
Answers
https://brainly.com/question/9124477