AC bisects angle BAD. If BC measures (12x+6) and CD measures 90, what is the value of x?
Answers
Answer:
7
Step-by-step explanation:
12x+6=90
12x=84
x=7
Related Questions
In ΔWXY, \overline{WY} WY is extended through point Y to point Z, \text{m}\angle YWX = (3x+17)^{\circ}m∠YWX=(3x+17) ∘ , \text{m}\angle XYZ = (10x-5)^{\circ}m∠XYZ=(10x−5) ∘ , and \text{m}\angle WXY = (3x+2)^{\circ}m∠WXY=(3x+2) ∘ . Find \text{m}\angle WXY.m∠WXY
Answers
The value of ∠WXY = 20.
What is Exterior angle theorem?
The exterior angle theorem describes the connection between the two remote angles in a triangle and the external angle created by an extended side outside the triangle.
Given: Measure of angle YWX = (3x + 17) °
Measure of angle WXY = (3x + 2) °
Measure of angle XYZ = (10x − 5) °
Therefore, m∠XYZ = m∠YWX + m∠WXY (exterior angle theorem)
⇒ (10x − 5) ° = (3x + 17) ° + (3x + 2) °
Solve for x,
⇒ 10x - 5 = 3x + 17 + 3x + 2
⇒ 10x - 6x = 17 + 7
⇒ 4x = 24
⇒ x = 6
∴ ∠WXY = (3x + 2) = 18 + 2 = 20
Hence, value of ∠WXY = 20.
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A video rental store keeps a list of their top 15 movie rentals each week next week the list includes six action for comedy three drama and two mystery the storm manager removes a copy of each of the 15 movies from the shelf then randomly select three of the 15 to show on display monitors in the store what is the probability that he selected two comedies in one action movie
Answers
The Probability of selecting two comedies and one action movie in a specific order is 6/455.
The total number of ways to choose 3 movies from 15 is given by the combination formula:
C(15,3) = 15! / (3! * (15 - 3)!) = 455
To find the probability of selecting two comedies and one action movie, we need to calculate two probabilities separately: the probability of selecting two comedies and one action movie in any order, and the total number of ways to do so.
First, the probability of selecting two comedies and one action movie in any order can be calculated by multiplying the probabilities of each event happening.
There are 6 action movies and 3 comedies in the list of 15 movies.
So, the probability of selecting an action movie first is 6/15, or 2/5. The probability of selecting a second action movie is 5/14, since there are now 14 movies left and only 5 of them are action movies. The probability of selecting a comedy third is 3/13, since there are 3 comedies left and 13 movies left in total.
So, the probability of selecting two comedies and one action movie in any order is:
(6/15) * (5/14) * (3/13) = 1/91
Second, the total number of ways to select two comedies and one action movie in any order is given by the product of the number of ways to choose 2 comedies from 3 and 1 action movie from 6:
C(3,2) * C(6,1) = 3 * 6 = 18
So, the probability of selecting two comedies and one action movie in any order is 18/455.
Therefore, the probability of selecting two comedies and one action movie in a specific order (comedy, comedy, action) is:
(1/91) * (3!) = 6/455
Hence, the probability of selecting two comedies and one action movie in a specific order is 6/455.
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Simplify each expression.
-10(n+6)
Answers
Answer:
\( - 10(n + 6) \\ - 10n + 60 \: \: \: answer\)
Step-by-step explanation:
please mark me brainliest
-10n-10•6
-10n-60
-10n-60 is the answer
You inherit RM300,000 from your parents and want to use the money to supplement your retirement. You receive the money on your 65 th birthday, the day you retire. You want to withdraw equal amounts at the end of each of the next 20 years. What constant amount can you withdraw each year and have nothing remaining at the end of 20 years if you are earning 7% interest per year?
A. RM15,000
B. RM28,318
C. RM33,574
D. RM39,113
Answers
To determine the constant amount that can be withdrawn each year for 20 years, we need to calculate the annuity payment using the present value of an annuity formula.
Inherited amount: RM300,000
Interest rate: 7% per year
Number of years: 20
Using the present value of an annuity formula:
PV = P * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value (inherited amount)
P = Annuity payment (constant amount to be withdrawn each year)
r = Interest rate per period (7% or 0.07)
n = Number of periods (20 years)
Plugging in the values:
300,000 = P * [(1 - (1 + 0.07)^(-20)) / 0.07]
Solving this equation, we find that the constant amount that can be withdrawn each year is approximately RM15,000.
Therefore, the correct answer is A. RM15,000.
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10. APPLICATION Inspector 47 at the Zap battery plant
keeps a record of which AA batteries she finds defective.
Although the battery numbers at right do not make an
exact sequence, she thinks they are close to an arithmetic
sequence
a. Write a recursive formula for an arithmetic sequence
that estimates which batteries are defective. Explain
your reasoning
b. Predict the numbers of the next five defective batteries.
c. How many batteries in 100,000 will be defective?
Defective
Batteries
255, 500, 773
998, 1227, 1510,
1721, 2010
Answers
A greengrocer buys 20 cases of oranges at a cost of $15 per case. Each case contains 10 kg of oranges. If he sells the oranges at $4/kg, how many kilograms must he sell before he makes a profit? If he sells all the oranges what will be his profit?
Answers
Answer:greengrocer should Dell 17 kg before profit. 500$ profit
Step-by-step explanation:
A pair of jeans is on sale for 20% off of the regular price of $42. What is the sale price of the jeans
Answers
Answer:
$33.60
Step-by-step explanation:
Since 20 percent is off, you only need to pay for 80% of the jeans. Therefore, you do 8/10 x 42 = 33.6
Answer:
The answer is 33.60 and the savings were 8.40
Step-by-step explanation:
A certain bookshop has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their sellilng prices are Rs. 80, Rs. 60 and Rs. 40 each respectively. Find the total amount the bookshop will receive by selling all the books, using matrix algebra
Answers
The bookshop will receive a total amount of Rs. 23,200 by selling all the books.
WHAT IS SELLING PRICE ?
The selling price is the price at which a product or service is sold to a customer. It is the amount of money that a seller charges to a buyer for a particular product or service. The selling price may include various factors such as the cost of production, overhead costs, profit margin, taxes, and other charges. It is an important concept in business and commerce, as it determines the revenue generated by a company and its profitability.
We can represent the given information using matrices as follows:
Let A be the matrix of the number of books in dozens, where each row represents a subject and each column represents the number of dozens of books:
A =
| 10 8 10 |
|____________|
Let B be the matrix of the selling prices of each book, where each row represents a subject and each column represents the selling price of each book:
B =
| 80 |
| 60 |
| 40 |
To calculate the total amount the bookshop will receive, we need to multiply the matrices A and B using matrix algebra:
C = A * B
C =
| 10 8 10 | | 80 | | 12000 |
| 60 | = | 7200 |
| 40 | | 4000 |
Therefore, the bookshop will receive a total amount of Rs. 23,200 by selling all the books.
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GEOMETRY HELP!!
What is the coordinate of the midpoint of segment QB?
Answers
Answer:
4
Step-by-step explanation:
8-4 is 4
Is the point (10,-2) a solution to the equation y = -2x + 16? Explain,
??? pls answer
Answers
Answer:
no
Step-by-step explanation:
y = -2x + 16
-2 = -2(10) + 16
-2 = -20 + 16
-2 = -4
which is wrong
Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.
y = -2x + 16 > -2 = -2(10) + 16
Now, solve.
-2 = -2(10) + 16 > -2 = -20 + 16 - Start by multiplying out parenthesis.
-2 = -20 + 16 > -2 = -4 - Add.
-2 = -4
The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.
If y = 4 find slope, X-intercept and y-intercept.
Answers
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
What is the value of x in the equation 8+x=3?
-5
5
11
24
Answers
x = -5
Answer: Hopefully I helped you!
x= -5
?? pls helpppppppppppppppppppppppppppppppp
Answers
Answer:
y = ax + b
x = 0 , y = 3 → 3 = a(0) + b → b = 3
x = 1 , y = 5 → 5 = a(1) + 3 → a = 2
y = 2x + 3
Option 2 is correct.
Please answer correctly !!!!!!!!!! Will
Mark Brianliest !!!!!!!!!!
Answers
Answer:
JP = 36
Step-by-step explanation:
Answer:
36 length unit
Step-by-step explanation:
if p is the centroid
then JP = ⅔ JN
then JP = ⅔ × 54 = 36 length unit
How many password arrangements are possible on a standard keyboard. Passwords must taai daadas long,pro
allowed
7.514 x 10.13
782,757,789,696
8,153,726,976
84,934,656
Answers
Answer:
the answer will be the first option
need help quickly please!
Answers
Answer:
86
Step-by-step explanation:
Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86
I think that's it I hope it will help you
Which is the best way to write the underlined parts of sentences 2 and 3?
(2) They have a special finish. (3) The finish helps the
swimmer glide through the water.
Click for the passage, "New Swimsuits."
OA. Leave as is.
B. a special finish that helps
C. a special finish, but the finish helps
D. a special finish so the finish helps
Answers
Answer:
Option B is the best way to write the underlined parts of sentences 2 and 3.
Sentence 2: They have a special finish that helps.
Sentence 3: The finish helps the swimmer glide through the water.
Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.
What is the property of -10+3 = 3+(-10)
Answers
Answer: −7 = −7
Step-by-step explanation:
Answer:
Commutative Property of Addition
Step-by-step explanation:
Commutative Property of Addition states that A + B = B + A
I dont know what im doing Please Help
Answers
Answer:
I think your answer is correct
Step-by-step explanation:
You did that right. You moved the point from zero to negative one, then you raised it to negative two. Good job.
5. A researcher plans to compare two treatment conditions by measuring one sample in treatment 1 and a second sample in treatment 2. The researcher will then compare the scores for the two treatments. If there is a difference between the two groups of scores, a. Briefly explain how the difference may have been caused by the treatments. b. Briefly explain how the difference simply may be sampling error.
Answers
The observed difference may not reflect a true difference caused by the treatments, but rather a chance fluctuation due to the random variation in the sample selection process.
If there is a difference between the two groups of scores, it suggests that the treatments themselves may have caused the difference. This could be due to a variety of factors related to the treatments, such as the active ingredients or components of the treatments, the dosage or intensity of the treatments, the timing or duration of the treatments, or the specific mechanisms by which the treatments are intended to work. The treatments may have distinct effects on the participants, resulting in observable differences in the measured outcomes.
b. On the other hand, the difference between the two groups of scores could simply be due to sampling error. Sampling error refers to the natural variability that can occur when drawing samples from a larger population. Even if the two treatment conditions are identical in their effects, random chance can lead to differences in the observed scores between the two groups. This could occur if the samples are not perfectly representative of the overall population, or if there are inherent individual differences within the samples that influence the scores. In such cases, the observed difference may not reflect a true difference caused by the treatments, but rather a chance fluctuation due to the random variation in the sample selection process.
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for the function g(x) graphed here, find the following limits or explain why they do not exist. a. limx→−2g(x) b. limx→−1g(x) c. limx→0g(x) d.
Answers
The function g(x) graphed here, the limit of g(x) as x approaches -2 is -1, the limit of g(x) as x approaches -1 is 2, and the limit of g(x) as x approaches 0 is 3.
a. limx→−2g(x)
= g(-2)
= -1
Therefore, the limit of g(x) as x approaches -2 is -1.
b. limx→−1g(x)
= g(-1)
= 2
Therefore, the limit of g(x) as x approaches -1 is 2.
c. limx→0g(x)
= g(0)
= 3
Therefore, the limit of g(x) as x approaches 0 is 3.
d. There is no limit of g(x) as x approaches infinity because the graph of the function is not defined at infinity. However, there is no limit of g(x) as x approaches infinity because the graph of the function is not defined at infinity.
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The radius of a spherical ball is decreasing at a constant rate of 3 cm per second. Find, in cubic centimeters per second, the rate of change of the volume of the ball when the radius is 5 cm. A) -100 B) -3001 C) -150x D) -12 E) -601
Answers
The rate of change of the volume of a spherical ball is equal to the derivative of its volume with respect to time. The rate of change of the volume of the ball when the radius is 5 cm is given by:dV/dt = 4π(5)²(-3) = -300π cubic cm/s
Given, the radius of a spherical ball is decreasing at a constant rate of 3 cm per second. Find, in cubic centimeters per second, the rate of change of the volume of the ball when the radius is 5 cm.To solve the problem, we need to find the rate of change of the volume of the spherical ball when the radius is 5 cm.The formula for the volume of a sphere is given by V = (4/3)πr³. So, the volume of the spherical ball is proportional to the cube of the radius of the ball.
This means that the rate of change of the volume of the ball is also proportional to the square of the radius. So, if the radius of the ball decreases at a constant rate, then the rate of change of the volume of the ball also decreases at a constant rate.To find the rate of change of the volume of the ball when the radius is 5 cm, we need to differentiate the volume with respect to time. Using the formula for the volume of a sphere, we getV = (4/3)πr³Differentiating both sides of the equation with respect to time, we get:dV/dt = 4πr² (dr/dt)where r is the radius of the sphere and dr/dt is the rate of change of the radius with respect to time. Since the radius of the ball is decreasing at a constant rate of 3 cm/s, we have dr/dt = -3 cm/s. Therefore,dV/dt = 4πr² (-3) = -12πr² cubic cm/sWhen the radius is 5 cm, we have r = 5 cm. Thus,dV/dt = -12π(5)² = -300π cubic cm/sTherefore, the rate of change of the volume of the ball when the radius is 5 cm is -300π cubic cm/s.
Therefore, option (B) -3001 is the correct answer.
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Each tire on your bicycle has a diameter of 26 inches. About how far will you travel when the tires make on complete revolution?
Answers
Answer:
one revolution will be the circumference of the tire, so multiply pi (3.1416) times the diameter (26 in.), to get 81.68 in.
Step-by-step explanation:
Jason needs to save at least $200 by the end of the summer. He already has $40, and he has 8 weeks to save. Which inequality can he use to decide how much he needs to save each week?
Answers
Step-by-step explanation:
y=mx+b
200 = 8x + 40
Rearrange,
x = 160/8 = 20
He would need to save $20 a week
200= 20 × 8 + 40
Answer:
8x + 40 ≥ 200At least $20 each weekStep-by-step explanation:
Target amount = at least $200Jason already has = $40Time = 8 weeksSaved amount each week = xRequired inequality:
8x + 40 ≥ 2008x ≥ 160x ≥ 160/8x ≥ $20A dance studio charges an application fee and a monthly rate for dance classes. This is represented by the equation, C=50x+75. In this function, x represents the
Responses
number of dance classes taken each month
cost per dance class
application fee
total cost of dance classes each month
Answers
In linear equation, 50x is the total cost of dance classes each month.
What is a linear equation example?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.Finding both intercepts of an equation in this format is rather simple (x and y).C = 50x + 75, where 75 is the application fee. When they take out the application fee, it will become:
C = 50x +75 (-75)
C = 50x
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Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answers
Answer:
The family should budget $73.50 for 21 gallons of gasoline.
Plshelp
find a10 in sequence 3, 1, 1/3, 1/9
Answers
Answer:
1/2187 is the 10th answer in the sequence
Step-by-step explanation:
just keep dividing the number by 3
1/9, 1/27, 1/81, 1/243, 1/729, 1/2187
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
Answers
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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PLEASE help me!!!
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls.
In the second bag there are 5 red balls and 4
green balls.
Amina takes at random a ball from the first bag.
She then takes at random a ball from the second bag.
(a) Complete the probability tree diagram.
Answers
Answer:
Step-by-step explanation:
first
3/10 & 7/10
second
5/9 & 4/9
Finding a parametric description of the solution set of a linear system is the same as solving the system.Is this statement true or false?
Answers
A parametric description of the solution set of a linear system is the same as solving the system is the false statement.
If a linear system has at least one solution, only then can the solution set be stated using a parametric description. The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set. You'll discover what a solution set is in this tutorial and witness an example. By combining two equations with two variables into one equation with one variable, we can solve a system of equations. Since there are two variables in each equation in the system, replacing a variable with an expression can help minimize the number of variables in an equation.
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