A pair of same-sides interior angles is not congruent (option C) is the correct answer.
A cloud of dense gas and dust from a volcano blows 40 miles west and then 30 miles north. Make a sketch to show the translation of the dust particles. Then find the distance of the shortest path that would take the particles to the same position.
The shortest path that would take the dust particles from the initial position to the final position after a translation of 40 miles west and then 30 miles north is 50 miles.
To visualize the translation of the dust particles, we can create a sketch. Assuming we start at the origin (0, 0), we first move 40 miles west, which corresponds to moving left on the x-axis to the point (-40, 0). Then, we move 30 miles north, which corresponds to moving up on the y-axis to the point (-40, 30).
By drawing a straight line from the initial position (0, 0) to the final position (-40, 30), we can determine the shortest path. This straight line represents the shortest distance between the two points.
Using the distance formula, the distance between these two points can be calculated as follows:
d = √((-40 - 0)² + (30 - 0)²) = √((-40)² + 30²) = √(1600 + 900) = √2500 = 50
learn more about distance
https://brainly.com/question/24211531
#SPJ11
If Tyrone eats 18 cookies , which repress 30% of the bag , then how many cookies are in the bag
The credit line is the maximum amount you can spend on a card before paying anything off.
pretty sure its true,
Step-by-step explanation:
A credit line is the amount of money that can be charged to a credit card account. Low credit utilization — that is, a credit line on which little has been borrowed — leads to a higher credit score. ... Credit line is also known as a credit limit.
Hallie is reading a novel in the library when susan, her best friend, slumps down in a chair next to her. susan doesn't say anything, but hallie knows that susan is upset because she is slumping in her seat and rolling her eyes. a psychologist would explain that hallie is interpreting her friend's emotion based on __________. a. the behavioral component of emotion b. her friend's ability to regulate emotion c. the verbal component of emotion d. the physiological component of emotion
The psychologist would explain that Hallie is interpreting her friend's emotion based on the behavioral component of emotion.
This means that Hallie is observing Susan's nonverbal cues, such as her slumping in her seat and rolling her eyes, to infer her emotional state. The behavioral component of emotion includes facial expressions, body language, and other nonverbal cues that convey an individual's emotional state. Therefore, Hallie is using her observational skills to accurately interpret her friend's emotions without Susan having to verbally express how she is feeling. Hallie is interpreting her friend's emotion based on the behavioral component of emotion. This is because Susan's slumping in her seat and rolling her eyes are non-verbal cues that communicate her emotional state. These behaviors provide information about Susan's feelings without relying on verbal communication or physiological changes.
To know more about psychologist visit:
https://brainly.com/question/27579365
#SPJ11
Write as an inequality. Do not solve.
Yellow Cab charges a flat rate of $3.00 plus $0.50 per mile. Raven
has $20.00 to spend on a cab ride. Write an inequality that expresses how
many miles Raven can travel under her limit.
The product of 8 and y is less than 21.
Raven can travel 5.71 miles or less under her limit.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions. If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Let x b the number of miles Raven travels, we can write an expression relating the amount he spends. So there:
3.00 + 0.50= 3.50
Consider that total cost per mile be less than equal to the amount the Raven can spend:
3.50x ≤ 20
We can determine x;
x ≤ 5.71
Therefore, Raven can travel 5.71 or less under her limit.
Learn more about inequality ;
brainly.com/question/14164153
#SPJ1
Plz answer fast with steps
The product of two consecutive odd numbers is 10 more than the square of the smaller number.Find the smaller number.
If you answer i will give you 50 points
Answer: 5 and 7
Step-by-step explanation:
(x)*(x+2)-10=(x)^2
x^(2)+2x-10=x^2
x^(2)+2x=x^2+10
2x=10
x=5
x+2=5+2=7
A librarian estimated that the library had 65 books about George Washington and 80 books about Abraham Lincoln. The library actually has 67 books about Washington and 71 books about Lincoln. To the nearest whole percent, what is the percent error of the librarian’s total estimate?
A. 1%
B. 5%
C. 7%
D. 10%
Using percentage, we can find that there is an error of 5% in the librarian's estimate.
Define percentage?The denominator of a percentage, also known as a ratio or a fraction, is always 100. For instance, Sam would have received 30 points out of a possible 100 if he had received a 30% on his maths test. In ratio form, it is expressed as 30:100, and in fraction form, as 30/100. Here, "percent" or "percentage" is used to translate the percentage symbol "%." The percent symbol can always be changed to a fraction or decimal equivalent by using the phrase "divided by 100".
As per the question,
Estimated books:
For George Washington = 65
For Abraham Lincoln = 80.
Actual books:
For George Washington = 67
For Abraham Lincoln = 71.
Now total estimated books = 65 + 80 = 145
Now, total actual books =- 67 + 71 = 138.
Difference between them:
= 145 - 138
= 7
Now percent of error = 7/145 × 100
= 0.048 × 100
= 4.8
≈5%
Therefore, there is an error of 5% in the librarian's estimate.
To know more about percentage, visit:
https://brainly.com/question/24159063
#SPJ1
at what rate is the angle θ, between the ladder and the ground changing then?
To determine the rate at which the angle θ, between the ladder and the ground is changing, we need to establish a relationship between the angle θ and the given variables.
Let's assume the ladder is leaning against a wall, forming a right triangle with the ground. The ladder acts as the hypotenuse, and the angle θ is the angle opposite to the height of the wall.
Given that the length of the ladder is decreasing at a constant rate of 2 ft/s, we can express this as dh/dt = -2 ft/s, where h represents the height of the wall.
Using trigonometry, we know that sin θ = h/l, where l represents the length of the ladder. Taking the derivative of this equation with respect to time t, we get:
d/dt(sin θ) = d/dt(h/l)
Differentiating both sides using the chain rule, we have:
cos θ * dθ/dt = (dl/dt * h - dh/dt * l) / l²
Since dl/dt is given as -2 ft/s and dh/dt is given as -2 ft/s, we can substitute these values into the equation:
cos θ * dθ/dt = (-2 * h - (-2) * l) / l²
Simplifying further:
cos θ * dθ/dt = (-2h + 2l) / l²
Now, to find the rate at which the angle θ is changing (dθ/dt), we need to know the values of h and l at a specific point in time. Without additional information or specific values for h and l, we cannot determine the exact rate at which θ is changing.
In summary, the rate at which the angle θ is changing (dθ/dt) depends on the specific values of h and l at a given time.
Learn more about variables. from
https://brainly.com/question/28248724
#SPJ11
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Answer:
70
Step-by-step explanation:
We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.
This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.
The sum of the two digits of a number is 9. If the tens digit is one-half the units digit, what is the number?
Let t = the tens digit, u = the units digit, and t+u = 9. Which of the following equations would complete the system?
t-u=1/2
t=1/2u
u=1/2t
Answer:
t=1/2u
Step-by-step explanation:
Since t=tens digit and u=units digit, as given in the equation that means that t+u=9. Since the tens digit is one-half the units digit that means: \(t=\frac{1}{2}u\) since it's one half the units digit.
If we change the constraint quantity to a value outside the range of feasibility for that constraint quantity, the shadow price will change.
True or False
Yes, it is True. If we change the constraint quantity to a value outside the range of feasibility for that constraint quantity, the shadow price will change.
The shadow price is the marginal value of the constraint quantity, and it represents the increase in the objective function per unit increase in the constraint quantity. If the constraint quantity is changed to a value outside the range of feasibility, the shadow price will change because the relationship between the objective function and the constraint quantity has changed. The change in shadow price will depend on how the constraint affects the objective function, but it is typically that the shadow price will increase as the constraint becomes more binding.
To know more about constraint quantity:
https://brainly.com/question/14786246
#SPJ4
What is substitute and example?
A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.
In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.
Here are a few examples of replacement goods:
1. A $1 bill can be exchanged for four quarters.
2. Coke against Pepsi
3. Regular vs. premium gas
4. Butter and lard
5. Tea and coffee
6. Apples and oranges
7. Comparing driving a car to riding a bike
8. Books in general and e-books
To learn more about substitute link is here
brainly.com/question/18330729
#SPJ4
If an oatmeal serving consists of three-quarters of a cup, and there are four servings in a box, how many cups are there in one box of oatmeal?
Answer: 3 cups
Step-by-step explanation:
3/4 x 4/1 = 12/4 simplified to make the denominato to be a 1 so you divide both the numerator, which is 12, and the denominator, which is 4, by 4 so you end up with 3/1 which is 3 cups.
Ms. W has 400 followers on Twitter and is gaining 75 followers each day. Mrs. Hill has 1,000 followers on Twitter, but is losing 25 followers a day. How many days will it take them to have the same number of followers?
Answer:
It takes 6 days.
Step-by-step explanation:
First, you have to form expressions for both of them in terms of x. Let x be the number of days :
Ms. W = 400 + 75x
Mrs. Hill = 1000 - 25x
Next, you have to compare it as we want to find out how many days in takes for them to have the same number of followers :
400 + 75x = 1000 - 25x
75x + 25x = 1000 - 400
100x = 600
x = 6
Three points A(-6,1,3), B(3,2,4) and C(6,1,-1) lie on a
plane.
a) Find the equation of the plane
The equation of the plane that passes through the given three points A(-6,1,3), B(3,2,4), and C(6,1,-1) can be determined using the point-normal form of a plane equation.
To find the equation of the plane passing through the three given points A, B, and C, we can use the point-normal form of a plane equation.
First, we need to find two vectors that lie in the plane. We can take the vectors AB and AC.
Vector AB = B - A = (3, 2, 4) - (-6, 1, 3) = (9, 1, 1)
Vector AC = C - A = (6, 1, -1) - (-6, 1, 3) = (12, 0, -4)
Next, we can find the cross product of these two vectors to get a normal vector to the plane.
Normal vector N = AB x AC = (9, 1, 1) x (12, 0, -4) = (-4, 48, -108)
Now, we can use the point-normal form of the plane equation, which is given by:
N · (P - A) = 0
where N is the normal vector, P is any point on the plane, and A is one of the given points.
Substituting the values, we have:
(-4, 48, -108) · (P - (-6, 1, 3)) = 0
Simplifying this equation gives us the equation of the plane that passes through the three points A, B, and C.
Learn more about Vector here: brainly.com/question/29740341
#SPJ11
A bus uses 2.5 L of diesel for every 8 km. How many liters of diesel would a bus use on a trip of 275
km?
Use cross multiplication to come up with the answer.
\( \frac{2.5}{8} = \frac{x}{275} \)
Answer:
Udbdubsh848488483837376383938838737387484.
Step-by-step explanation:
Udnhduneurueooeiruurur
Which criteria can be used to prove triangles are congruent select all that apply?
The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.
The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
Slove 4(5x-2)= 2(9x+3)
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
\(4(5x-2) = 2(9x+3)\)
\(20x-8=18x+6\)
Then, isolate the variable. Start by subtracting 18x from both sides.
\(2x - 8 = 6\)
Add 8 to both sides.
\(2x = 14\)
Divide both sides by 2.
\(x=7\)
what is 5n+15 in distributive property
Answer:
5(n+3)
Step-by-step explanation:
factor both of them
their common number is 5
divide 5 by each of them
5/5=1
15/5=3
The recipe for cookies calls for 2 cups of butter to make 48 cookies how much butter will you need to make 72 cookies
Answer: 3 cups of butter
Step-by-step explanation: 2 cups of butter for 48 cookies means 1 cup of butter for 24 cookies. 72 divided by 24=3 That means you need 3 cups of butter for 72 cookies
William works at a nearby electronics store. He makes a commission of 6\%6%6, percent on everything he sells. If he sells a computer for \$764.00$764.00dollar sign, 764, point, 00, how much money does William make in commission?
\$\
Based on the commission percentage that William makes when he sells goods at the electronics store, the amount that William made in commission from the computer is $ 45. 84.
How to find the money made from commission?Commission made on goods and services are a percentage that is paid to sales people when they make a certain number of sales. The commission is based on the amount that the good or service in question is sold for.
The commission to William here can be found by the formula:
= Percentage made for commission on everything sold x Amount that the computer sold for
Solving for the commission to William gives:
= 6 % x 764
= 0. 06 x 764
= $ 45.84
In conclusion, the commission that William made from the sale of the computer which was valued at $ 764 is $ 45.84.
Find out more on commission at https://brainly.com/question/26283663
#SPJ1
Answer:
45. 84
Step-by-step explanation:
Based on the commission percentage that William makes when he sells goods at the electronics store, the amount that William made in commission from the computer is $ 45. 84.How to find the money made from commission?Commission made on goods and services are a percentage that is paid to sales people when they make a certain number of sales. The commission is based on the amount that the good or service in question is sold for. The commission to William here can be found by the formula:= Percentage made for commission on everything sold x Amount that the computer sold for Solving for the commission to William gives:= 6 % x 764 = 0. 06 x 764= $ 45.84
Mason can type 210 words in 6 minutes. find the unit rate ( words per mintute )
Answer:
Step-by-step explanation:
words type per minute =210/6
=35
Consider the paragraph proof.
Given: D is the midpoint of AB, and E is the midpoint of AC.
Prove:DE = One-halfBC
On a coordinate plane, triangle A B C is cut by line segment D E. Point D is the midpoint of side A B and point E is the midpoint of side A C. Point A is at (2 b, 2 c), point E is at (a + b, c), point C is at (2 a, 0), point B is at (0, 0), and point D is at (b, c).
It is given that D is the midpoint of AB and E is the midpoint of AC. To prove that DE is half the length of BC, the distance formula, d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot, can be used to determine the lengths of the two segments. The length of BC can be determined with the equation BC = StartRoot (2 a minus 0) squared + (0 minus 0) squared EndRoot, which simplifies to 2a. The length of DE can be determined with the equation DE = StartRoot (a + b minus b) squared + (c minus c) squared EndRoot, which simplifies to ________. Therefore, BC is twice DE, and DE is half BC.
Which is the missing information in the proof?
a
4a
a2
4a2
Applying the distance formula, DE = a. Therefore, the missing information is: A. a.
What is the Distance Formula?Distance Formula for determining the distance between two points on a coordinate plane is given as: \(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\).
In the proof given, applying the distance formula to find DE, we have:
DE = √[(a + b - b)² + (c - c)²}
Simplifying this, we would have:
DE = √(a² + 0²) = √(a²)
DE = a
Therefore, the missing information in the proof is: A. a.
Learn more about distance formula on:
https://brainly.com/question/661229
#SPJ1
Answer:
A. a
Step-by-step explanation:
got it right on edge23
how many bits per word are needed to represent the decimal integers 0 through 100?
We only need to use 7 bits to represent all the decimal integers from 0 to 100.
A computer uses bits as the fundamental unit of data. Bits are represented as a binary digit of either 0 or 1, and are the basic building blocks of digital communication and data processing.
The binary number system has only two digits, 0 and 1, making it easy to represent all kinds of data, including text, images, videos, and audio files. There are many benefits of using binary numbers to represent data, including their simplicity, speed, and reliability.
Each decimal integer from 0 to 100 can be represented in binary form. The minimum number of bits required to represent a decimal number depends on the maximum number of bits required to represent it in binary form.
The binary number system is a base-2 system, which means that there are only two possible digits, 0 and 1, that can be used to represent any number.
Therefore, to represent decimal integers from 0 to 100, a minimum of 7 bits per word are required, since 100 in binary form is 1100100, which requires 7 bits. However, since 2^7 = 128, which is greater than 100.
Know more about the binary form
https://brainly.com/question/31436551
#SPJ11
Camden paid $11.48 for sliced cheese at the deli counter. The cheese cost $3.28 per pound. How much cheese did Camden buy? *
Answer:
he bought 3.5 pounds because 3.28 times 3.5 equals the cost
Step-by-step explanation:
 Find the perimeter. Simplify the answer
Answer:
15x + 28
Step-by-step explanation:
Perimeter = 5x + 10 + 5x + 10 + 5x + 8
Perimeter = 15x + 28
-Chetan K
Answer:
15x + 28Step-by-step explanation:
Given, in the figure,Sides of the triangle are = 5x+10, 5x+10 and 5x+8
As we know,Perimeter of a triangle = Sum of the three sides
Therefore,Perimeter of the given triangle
= (5x+10) + (5x+10) + (5x+8)
[Opening the brackets and bringing like terms together]= 5x + 5x + 5x + 10 + 10 + 8
[Adding the like terms]= 15x + 28
Hence, 15x + 28 is the simplified answer.
In this division problem what is the divined of 2/3 divided by 6/5
Answer:
5/9
Step-by-step explanation:
brainliest when possible.
Giving brainliest!
The expression on the left side of an equation is shown below.
3 (x + 1) + 9 = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Group of answer choices
3 (x + 4)
2 (x + 6) + x
4(x – 3) – x
3 (x + 1) + 9 x
If the equation has no solution, the expressions that can be written in the box on the other side of the equation are A. 3(x + 4) and B. 2(x + 6) + x.
What is an equation?An equation represents a mathematical statement showing that two or more expressions share equality in value.
Equations show the equal or equivalent relationship between two mathematical expressions.
We depict equations using the equation symbol (=).
Given equation:
3 (x + 1) + 9 = box
= 3x + 3 + 9
= 3x + 12
A. 3(x + 4)
= 3x + 12
B. 2(x + 6) + x
= 2x + 12 + x
= 3x + 12
C. 4(x – 3) – x
= 4x - 12 - x
= 3x - 12
D. 3(x + 1) + 9x
= 3x + 3 + 9x
= 12x + 3
Thus, Options A and B can be written in the box on the other side of equation 3 (x + 1) + 9 = box, unlike Options C and D.
Learn more about equations at brainly.com/question/2972832
#SPJ1
Answer:
I think the answer is C if im wrong i am so srry
Step-by-step explanation:
Simplify:
20x + 27y + 38y + 29x
Answer:
49x +65y
Step-by-step explanation:
add like terms
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Answer:
\(390ft^2\\\)
Step-by-step explanation:
Ok so we have 2 (congruent) triangles and 3 rectangles.
Your main approach to this problem should be to find the area of each of the faces and adding them up to get to your final answer. Your question makes a point of including the correct unit in your answer. Since this is surface area, the unit would be \(ft^2\)
Now let's start:
First, I am going to start with finding the area of the rectangles.
\(12\cdot11=132\\13\cdot11=143\\5\cdot11=55\\\\55+143+132=330\)
Alright, next lets move on to the triangles.
They are both the same, if you notice. So find one and double it.
\(12\cdot5=60\\\frac{60}{2}=30\\30\cdot2=60\)
now lets add em all
330+60
= 390 and thats your final answer, dont forget to include the unit, ft^2