Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B=
°
Answers
7x° = 180°-19°
7x° = 161°
x = 23°
m∠B = 6(23) + 19
= 157°
Answer:
∠B=157°
Step-by-step explanation:
It is given that Quadrilateral ABCD is inscribed in the circle.
Also, we know that if the Quadrilateral ABCD is inscribed in the circle, then the opposite angles of the quadrilateral are supplementary by the property of circles. Then,
∠B+∠D=180°
⇒[tex]x+6x+19=180[/tex]
⇒[tex]7x+19=180[/tex]
⇒[tex]7x=161[/tex]
⇒[tex]x=23^{{\circ}}[/tex]
Thus, the value of ∠B=6x+19=6(23)+19=138+19=157°.
Related Questions
We play a game where there are 50 coins in a row, we take turns taking between 1 and 5 coins however many you like. whoever takes the last coin keeps them all. how can i win everytime and does it matter if i go first
Answers
Which graph represents the function f(x) = log10(x + 2)?
Answers
Answer:
Please see the attachment for graph.
Step-by-step explanation:
Given: [tex]f(x)=\log_{10}(x+2)[/tex]
It is log function. First we take parent function of log
[tex]y=\log_{10}x[/tex]
We have to change y to f(x)
First we draw the graph of parent function.
[tex]y=\log_{10}x[/tex]
Now we shift graph 2 unit left because when x change to x+a , graph shift a unit left or right.
So, f(x) will shift 2 unit left.
[tex]f(x)=\log_{10}(x+2)[/tex]
write y=(-3/4)x+3 in standard form using integers.
Please help:D will fan and medal
Answers
4y = -3x + 12
To check your work, you can divide both sides by 4 and see that -3x/4 = (-3/4)x and 12/4 = 3.
Could someone please give me the answer? The subject is math and its Pre- Algebra
Answers
The triangles angles are equal, the triangles are just turned different directions.
1. Incorrect
2. Incorrect
3. Correct
4. Correct
5. Incorrect
6. Incorrect
I hope this helps!
Choose the correct classification of 4x4 − 4x3 + 10x6. (5 points)
Answers
The given expression 4x^4 - 4x^3 + 10x^6 is a polynomial of degree 6.
Explanation:The given expression is 4x4 - 4x3 + 10x6.
To classify this expression, we need to look at the highest power of x in the expression. In this case, the highest power is 6, which means it is a polynomial of degree 6.
So, the correct classification of 4x4 - 4x3 + 10x6 is a polynomial of degree 6.
A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.
What is the maximum area that can be enclosed by the fencing?
Enter your answer in the box.
ft²
Answers
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
Answer:
11250ft2
Step-by-step explanation:
i took the test to make sure the other guy was right
2) Find the point, M, that is five-sixths of the distance from A(-7, 2) to B(-1, -4).
Answers
point A(-7,2) and point B(-1,-4)
Step 1
find the distance AB
d=√[(-4-2)²+(-1+7)²]------------> √[36+36]
d=√72
step 2
find the point M
five-sixths of the distance from AB----------> (5/6)*√72
see the attached figure
AC/AB=x/((5/6)*AB)
6/(AB)=x/((5/6)*AB)--------> 6=6x/5
x=30/6-------> x=5
CB/AB=y/((5/6)*AB)
6/AB=y/((5/6)*AB)---------> 6=6y/5
y=30/6-------> y=5
therefore
the coordinate x of point M is
A(-7,2)
Mx=-7+5=-2
the coordinate y of point M is
A(-7,2)
My=2-5=-3
the point M is (-2,-3)
SOS!!
In your own words explain the difference between the following two expressions:
(-1)^2/4 and (-1)^1/2
Answers
The only difference between the two following expressions is their exponent though it’s equal. If you would analyze carefully, the two expressions are equal since 2/4 is just equal to ½. The two expressions are equal in value so the presentation of the exponent is their only difference.
The total cost, after using a 55cents-off coupon, is $3.30. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
Answers
c= cost of fruit per pound
x= # of pounds of fruit purchased
EQUATION
T= (c)(x) - $0.55 coupon
to find c, substitute $3.30 total for T
$3.30= cx - $0.55
add $0.55 to both sides
$3.85= cx
divide both sides by x
$3.85/x= c
Hope this helps! :)
Minimun commun multiple of 1,2,3,8
Answers
2
3
2*4(from here we take only 4 because 2 is already there)
1*2*3*4=24
List out multiples
1.) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, etc
2.) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, etc
3.) 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. etc
8.) 16, 24, 32, etc
The LCM is 24
or
The Minimum Common Multiple is 24
Please show work! Thank you
Answers
The length is x+4.
The area is the product of width and length.
.. Area = (x +2)(x +4)
.. = x^2 +6x +8
I need help with this question
Answers
5/20 = 1/4
260 * 1/4 = 65
C. 65 is the correct answer.
#4
45% = 0.45
1,300 * 0.45 = 585
B. 585 is the correct answer.
A bamboo shoot is 20 inches tall at day 0 and grows 24 inches each day. which function(s) shown below can be used to determine height, f(n), of the bamboo after n days?
I. f(n)=24n+20
II. f(n)=24n+20(n-1)
III. f(n)=f(n-1)+24 where f(0)=20
Answers
Answer:
The correct answer is option I
Step-by-step explanation:
Initial height of bamboo [tex]= 20 in\\[/tex]
Height of bamboo grows by [tex]24 in \\[/tex] every day
Let "n" be the number of days
So the height of bamboo after "n" days is
[tex]f(n) = 20 + 24n\\[/tex]
Thus, the correct answer is option I
Russel throws a soda from the balcony of his house to his friend Jones in the pool. If the soda is released 20 feet from the ground, and is thrown with a downward velocity of 2 ft/s, how long till the soda hits the pool, ignoring air resitance? Use the formula , where h is the height of the soda in feet and t is the time in seconds since Russel threw it. Round your answer to the nearest tenth.
A.
0.5 seconds
B.
0.8 seconds
C.
1.1 second
D.
1.6 seconds
Answers
S=h= 20ft, u = 2ft/s, and a = 10m/s²
Thus; 20 =2t + 20t²
Therefore; 20t²+2t-20=0
Solving the equation quadratically for the value of t,
we get; t = 1.057 or t=-1.182
But t can not be negative,
Therefore, t= 1.1 seconds (to the nearest tenth)
Answer:
C. 1.1 seconds
Step-by-step explanation:
The formula to use is :
[tex]h=ut+\frac{1}{2}at^{2}[/tex]
Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².
Substituting these values into the equation:
[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]
Using the quadratic formula, t can be solved.
a = 16.075, b = 2, c = -20:
[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]
The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds
A tree has 53 leaves. During a storm, it loses 29 leaves. How many leaves does the tree have left?
29 leaves
24 leaves
82 leaves
42 leaves
Answers
The sum of the deviations about the mean always equals _________.
Answers
hope this helps :)
Final answer:
The sum of the deviations about the mean always equals zero because positive and negative deviations cancel out. This concept is essential for calculating variance and standard deviation in statistics.
Explanation:
The sum of the deviations about the mean always equals zero. When analysing a set of data, each data value has a deviation from the mean, which is the difference between the value and the mean. These deviations illustrate the spread of the data around the mean. Positive deviations occur when a data value is greater than the mean, while negative deviations occur when a data value is less than the mean.
If we sum all the deviations, the positive and negative values will cancel each other out, resulting in a sum of zero. This happens because the mean is the point where the total amount above it is equal to the total amount below it. This concept is core to understanding the calculation of other statistics such as variance and standard deviation, which provide measures of data spread. Variance is the mean of the squared deviations from the mean, and the standard deviation is the square root of the variance.
The fact that the sum of deviations equals zero is important when working with the Central Limit Theorem, as it assures that the mean of sample means will equal the population mean, assuming the sample size is sufficiently large.
Use the graphing calculator to locate the solutions of this system of equations: y = x2 + x – 2 y = –x + 1
Answers
Answer:
(–3, 4) and (1,0)
Step-by-step explanation:
Answer:
(-3,4) and (1,0)
Step-by-step explanation:
Amy notices that her credit card company has charged too high an interest rate for delayed payment this month. Which law protects her from this issue?
Fair Debt Collection Practices Act
Identity Theft and Assumption Deterrence Act
Magnuson-Moss Warranty Act
Fair Credit Reporting Act Credit Card
Accountability, Responsibility and Disclosure Act
Answers
E:Credit Card Accountability, Responsibility and Disclosure Act
What is the quotient of 22,389 and 13?
Answers
Answer:1,722 R3
Step-by-step explanation:
Domain -9,9,93 and Range -1,-5,9,9 is this a function
Answers
Also, another way to check is to make sure that in the domain one number does not appear more than once in the list.
Hope this helps!
Sorbet is a frozen dessert that is often made from fruit. how many portions each weighing 1/10 of a kilogram can a french dessert chef create from 3 kilograms of sorbet
Answers
We then have to do the division:
N = (3) / (1/10)
N = 30
Answer:
a french dessert chef can create 30 portions each weighing 1/10 of a kilogram from 3 kilograms of sorbet
Final answer:
A French dessert chef can make 30 portions of sorbet from 3 kilograms, with each portion weighing 1/10 of a kilogram, by simply dividing the total weight by the weight of one portion.
Explanation:
The subject of this question is Mathematics, specifically related to division and units of measurement. To find out how many portions each weighing 1/10 of a kilogram can be made from 3 kilograms of sorbet, we divide the total amount of sorbet by the weight of one portion. Therefore, we perform the division:
Determine the weight of one portion: 1/10 kg.
Divide the total weight of sorbet by the weight of one portion: 3 kg ÷ (1/10 kg).
The division gives us the result of 30 portions because 3 ÷ (1/10) is equivalent to 3 × 10.
So, a French dessert chef can create 30 portions of sorbet, with each portion weighing 1/10 of a kilogram.
TRIANGLE GEOMETRY PLEASE HELP
Answers
#13
12/z = z/3
z² = 36
z = 6
By the Pythagorean theorem:
x = √(12²+6²) = √(144+36) = √180 = 6√5
y = √(3²+6²) = √(9+36) = √45 = 3√5
The answers are x=6√5, y=3√5, z=6
#14
2/y = y/6
y² = 12
y = √12 = 2√3
By the Pythagorean theorem:
x = √((√12)²+6²) = √(12+36) = √48 = 4√3
The answers are x=4√3, y=2√3
The Side-Angle-Side Similarity Postulate states “If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are congruent”?
TRUE or FALSE
Answers
We can't know for sure if they are congruent or not. However, the two triangles are definitely similar if they fit this criteria.
What are the roots of the polynomial equation? x^2−12x−64=0
Answers
The roots of the polynomial equation x²−12x−64=0 are 16 and -4. These roots are calculated using the quadratic formula and represent the points where the function intersects the x-axis. The importance of finding real roots in quadratic equations is significant in solving real-world problems.
Explanation:Roots of Polynomial Equation
The roots or solutions of the polynomial equation x²−12x−64=0 can be calculated using quadratic formula. In general, the quadratic function is written as ax²+bx+c=0 and its roots are given by -b ± √(b² - 4ac) / 2a. In this case, a=1, b=-12 and c=-64.
Applying those values into the formula we get 12 ± √((-12)² - 4(1)(-64)) / 2(1) = 12 ± √(144 + 256) / 2 = 12 ± √400 / 2 = 12 ± 20 / 2. This gives us two possible roots: 16 and -4.
Graphically, these roots represent the x coordinates or points where the quadratic function intersects the x-axis on a two-dimensional graph. It is important to note that quadratic equations constructed on physical data always have real roots, which are important for solving real-world problems.
Learn more about Quadratic Equations here:https://brainly.com/question/30098550
#SPJ12
Brianna bought an assortment of 16 apples. A medium-sized apple weighs around 5.2 ounces. Which response gives the best estimate for the cost of the apples?
Answers
Answer:
$7.00
Step-by-step explanation:
16 apples ⋅ 5.2 ounces1 apple ⋅ 1 pound16 ounces ⋅ $1.291 pound ≈ $7.00
Please answer!!! 1st one to answer with work and accurate answers will be brainliest for 30 points!!!!!!!!!!!!
Answers
2 1/3 = 7/3 = 2.333333
(4x + 9)/ 2.333333 = 3x / 0.5 Now cross multiply
0.5 * (4x + 9) = 3x * 2.333333
2x + 4.5 = 7x Transfer 2x to the right side.
4.5 = 5x
x = 4.5/5
x = 0.9
We'd best check this one
Left hand side.
(4x + 9)/2.333333
(4*0.9 + 9)/2.333333
(3.6 + 9)/2.333333
12.6/2.333333
5.4
Right hand side
3x/0.5
= 3*0.9/0.5
= 2.7/0.5
= 5.4
And it checks.
Explain how employee benefits affect total employment compensation
Answers
Employee benefits, such as health insurance and retirement plans, add value to the total compensation received by workers. They account for about one-quarter of average hourly compensation, contributing to the overall attractiveness of the compensation package and promoting employee well-being and job satisfaction.
Explanation:Employee benefits affect total employment compensation by adding to the overall value of the compensation package. They provide additional forms of remuneration beyond wages and salaries, such as health insurance, retirement plans, employer payments to Social Security, unemployment and worker's compensation insurance, and other benefits like Medicare.
These benefits contribute to the total compensation received by workers, accounting for about one-quarter of the average hourly compensation. So, for example, if a worker's wages are $20 per hour, the total compensation per hour might be around $26 when considering the value of benefits.
By providing employee benefits, employers aim to attract and retain talented employees, promote employee well-being, and enhance job satisfaction and productivity. These benefits play a crucial role in improving the overall compensation package and incentivizing employees to stay with the company.
Final answer:
Employee benefits, such as health insurance and retirement plans, greatly impact total employment compensation. These benefits, in addition to wages and salaries, make up the overall compensation received by workers.
Explanation:
Employee benefits have a significant impact on total employment compensation. These benefits include things like health insurance, retirement plans, employer payments to Social Security, and unemployment and worker's compensation insurance. When these benefits are added to wages and salaries, they make up the total compensation received by workers.
For example, if a worker's hourly wage is $20 and they receive $5 per hour in benefits, their total compensation per hour is $25. This means that employee benefits increase the overall value of compensation that workers receive.
Employee benefits are important for attracting and retaining employees, as well as promoting employee well-being and job satisfaction. They can also have an impact on the cost of labor for employers, as they must budget for these benefits in addition to wages and salaries.
write the number in scientific notation
0.0000024
please help
Answers
helpppppppppppppppppppppppppppppppp
Answers
We are looking for a function with a vertex above the x-axis and a function that opens upward (has coefficient a > 0).
The first function opens downward and intersects the x-axis. The second function has a vertex below the x-axis. The third function satisfies our requirements. The fourth function has a vertex on the x-axis.
We can solve this algebraically with the knowledge that the real solutions of a quadratic are its x-intercepts. If there are no x-intercepts (because it lies entirely above or below the x-axis), then there are no real solutions. This is true when the discriminant [tex]b^2-4ac \ \textless \ 0[/tex]. You can see that from the quadratic formula. This holds true for both answers A and C, so to find the correct one, we remember that when the coefficient a of the [tex]x^2[/tex] term is positive, the graph opens upwards, so we choose C.
choice c is the correct one
Explanation:
The equation that lies completely above the x-axis should be the one having its y-values greater than zero.
squaring a number will certainly give a positive value.
looking at the choices:
choice a: might give a -ve value if the squaring gives a number greater than 7
choice b: might give a -ve value if the squaring gives a number less than 7
choice c: will always be positive
choice d: might give a zero at x=7
Dory and Nemo go to Taco Bell for lunch. Dory orders three soft tacos and three double deckers for 11.25. Nemo pays $10 for four soft tacos and two double deckers. Write a system of equations that represents the lunch orders for dory and Nemo.
Answers
double deckers = y
Dory
3x + 3y and the total was 11.25
11.25 = 3x + 3y
Nemo
4x + 2y and the total was 10
10 = 4x + 2y
The equations are
11.25 = 3x + 3y
10 = 4x + 2y
Hope this helps
The equations representing Dory's and Nemo's lunch orders are 3x + 3y = 11.25 and 4x + 2y = 10, respectively.
Let's define the variables first. Let x be the cost of one soft taco, and y be the cost of one double decker.
Dory orders three soft tacos and three double deckers for $11.25. This gives us the first equation:
3x + 3y = 11.25
Nemo orders four soft tacos and two double deckers for $10. This gives us the second equation:
4x + 2y = 10
We now have a system of equations that represents the lunch orders:
3x + 3y = 11.25
4x + 2y = 10
These equations can be solved simultaneously to find the individual costs of the soft tacos and double deckers.