Step-by-step explanation:
x+(x+2)+(6x+10)= 180⁰.....(sum of angles in a triangle)
Open the brackets by +1
x+x+2+6x+10. =. 180⁰
2x+6x+10+2. =. 180⁰
8x+12. =. 180⁰
8x. =. 180⁰-12⁰
8x. =. 168
x. =. 168/8
x. =. 21
x+2=2+21=23
6x+10=6×21+10=126+10=136
A+B+C=180⁰
21⁰+23⁰+136⁰=180⁰
180⁰ =180⁰
PLEASE MARK BRAINLIEST.
A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?
The transformation that does not preserve congruence is translation
The term called transformation is defined as the process of changing the position of an object on an xy-plane.
Here we have know that the transformation is applied to a figure to create a new figure.
And here we also know that the only transformation that does not preserve congruence is a translation 7 units down
So the transformation of figure and the reflection preserve the congruence since it only create a mirror image of the figure.
And the term called dilation also preserve congruence since it only enlarges the given figure.
Here we want to know that concept of translation a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Based on this definition we have conclude that the solution is translation.
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In November, the rain in a certain valley tends to fall in storms of several days' duration. The unconditional probability of rain on any given day of the month is 0.500. But the probability of rain on a day that follows a rainy day is 0.900, and the probability of rain on a day following a nonrainy day is 0.200. Find the probability of rain on November 1 and 2, but not on November 3.
Assume that yout parents wanted to have $100,000 saved for college by your 1 eth birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and eamed 5.0% per year on their irvestments. a. How much would they have to save each year to reach their goal? b. If they think you will take five years instead of fout to graduate and decide to have $140,000 saved just in case, how much would they have to save each year to reach their new goal? a. How much would they have to save each year to reach their goal? To reach the goal of $100,000, the amount they have to save each year is $ (Round to the nearest cent.) b. If they think you will take five yoars instend of four to graduate and decide to have $140,000 saved just in case, how much would they have to save each year to reach theit new goal? To reach the goal of $140,000, the amount they have to save each year is $ (Round to the neacest cent)
a. To reach the goal of $100,000, they would have to save approximately $4,866.96 each year.
b. To reach the new goal of $140,000, they would have to save approximately $6,813.75 each year.
a. To calculate the amount they need to save each year to reach the goal of $100,000, we can use the future value of an ordinary annuity formula. Given that they earn a 5.0% annual interest rate on their investments, and they start saving on your first birthday, they have a total of 17 years to save before you turn 18. Using the formula, we can solve for the annual savings amount:
PV = (PMT / r) * (1 - (1 + r)^(-n))
Where PV is the present value (which is $0 since they haven't saved anything yet), PMT is the annual savings amount, r is the interest rate per period (5.0% or 0.05), and n is the number of periods (17 years).
Substituting the values into the formula, we can solve for PMT
$100,000 = (PMT / 0.05) * (1 - (1 + 0.05)^(-17))
PMT ≈ $4,866.96 (rounded to the nearest cent)
b. If they decide to save for five years instead of four to have $140,000 saved, the calculation is similar. They now have a total of 16 years to save before you turn 18. Using the same formula and substituting the new values
$140,000 = (PMT / 0.05) * (1 - (1 + 0.05)^(-16))
PMT ≈ $6,813.75 (rounded to the nearest cent)
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a(n) trendline is a line that extends from the chart's horizontal or vertical axis into the plot area, making it easier to identify the values in the chart.
In order to make it simpler to recognize the values in the chart, a gridline is a line that extends from the chart's horizontal or vertical axis into the plot area.
What is Gridline?A horizontal or vertical line that passes through the plot area and connects to the axis in order to direct the reader's eyes across the chart and help them recognize values.Any of a group of numbered horizontal and perpendicular lines that split a map into squares to create a grid, which enables the use of a system of rectangular coordinates to pinpoint any place.The coordinate plane that consists of a grid of tiny squares, often with an x-axis and y-axis, is sometimes referred to as a math grid. Each little square serves as a unit of measurement. Depending on what is required and what you decide, each square may have a measurement of one unit or more.Therefore, in order to make it simpler to recognize the values in the chart, a gridline is a line that extends from the chart's horizontal or vertical axis into the plot area.
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Correct question:
a(n) ____ is a line that extends from the chart's horizontal or vertical axis into the plot area, making it easier to identify the values in the chart.
Solve please!
Thank you!
Answer:
Since 36=0 is false, there is no solution.
D. No Solution
Find the next two terms in this
sequence.
1, -3, 9, -27, 81, [?],
-243
Step-by-step explanation:
số dương nhân -3 thì đc số âm, số âm nhân với -3 để đc số dương.
vd: 1. -3 = -3 ; -3 .-3= 9 ;..... 81 . -3= -243
Answer:
all once will product the term by mines 3
so the final will bt -3 *81 = -243
4.There are many cylinders with radius 6 meters. Let h represent the height in meters and Vrepresent the volume in cubic meters.a.Write an equation that represents the volume V as a function of the height h.b.Sketch the graph of the function, using 3.14 as an approximation for π.C.If you double the height of a cylinder, what happens to the volume? Explain this using the equationd.If you multiply the height of a cylinder by 1/3, what happens to the volume? Explain this using the graph.
Answer:
(a)V=36πh
Explanation:
• Radius = 6 meters
\(\text{Volume of a cylinder}=\pi r^2h\)Part A
An equation that represents the volume V as a function of the height h is:
\(\begin{gathered} V=\pi\times6^2\times h \\ V=36\pi h \end{gathered}\)Part B
Using 3.14 as an approximation for π
\(\begin{gathered} V=36\times3.14\times h \\ V=113.04h \end{gathered}\)The graph of the function is attached below: (V is on the y-axis and h is on the x-axis).
Part C
The initial equation for volume is:
\(V=113.04h\)When h=1
\(V=113.04\times1=113.04m^3\)If you double the height of a cylinder, h=2:
\(V=113.04\times2=226.08m^3\)We observe that when the height is doubled, the volume of the cylinder is also doubled.
Part D
The initial equation for volume is:
\(V=113.04h\)If the height of the cylinder is multiplied by 1/3, we have:
\(\begin{gathered} V=\frac{113.04h}{3} \\ V=37.68h \end{gathered}\)The volume of the cylinder will be divided by 3.
Using the graph, we observe a horizontal stretch of the graph by 1/3.
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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Please help my grade depends on it !!
Answer:
√35i
Step-by-step explanation:
i is an imaginary number. It represents the square root of negative one. By pulling it out, we pull out the negative, and our answer uses the unit i. Because 35 cannot be simplified, we are done.
Answer:
We know that √-1 = i, where "i" is the imaginary unit
± √(-35) = ± √(35) i
± √(35) i is the right answer.Please help!!
Darrel’s baby sister was 8 pounds at birth. She gained 4 pounds each year. She now weighs 32 pounds. How old is she?
Subtract to find the weight she gained since birth.
32 - 8 = 24
Divide to see how many years passed.
24 / 4 = 6
Therefore, Darrel's baby sister is 6 years old.
Best of Luck!
consists of abnormal behaviors identical to those in schizophrenia that have persisted for at least 1 month but fewer than 6 months.
The description refers to the diagnosis of brief psychotic disorder, which consists of abnormal behaviors identical to those in schizophrenia lasting for at least 1 month but fewer than 6 months.
Brief psychotic disorder is a psychiatric diagnosis characterized by the presence of psychotic symptoms, such as hallucinations, delusions, disorganized thinking, or grossly disorganized or catatonic behavior. These symptoms are similar to those seen in schizophrenia, but the key distinction is that brief psychotic disorder lasts for a shorter duration, specifically between 1 month and 6 months.
During this period, individuals with brief psychotic disorder may experience a sudden onset of symptoms that significantly impact their thoughts, emotions, and behavior. However, unlike schizophrenia, the duration of symptoms in brief psychotic disorder is limited, typically resolving within a few weeks to a few months.
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PLEASEEEE HELP ME !
solve for t.
10 = -2t
Answer:
T = -5
Explaination:
Divide both sides of the equation by the same term and then simplify.
Answer:
-5
Step-by-step explanation:
10 = -2t
Divide both sides by -2
\(\frac{10} {-2} = \frac{-2t} {-2}\)
-5 = t
Question Andre bought 8 bagels and ate 2/3 of them. Sandra bought 20 bagels and ate 1/4 of them. Who ate more bagels?
Answer:
Andre
Step-by-step explanation:
Andre ate 2/3 of 8 bagels, so to get the number of bagels-
8 *2/3
8/1*2/3 = 16/3 = 5 1/3
Meanwhile Sandra ate 1/4 of 20, so,
20*1/4 = 20/4 = 5
What does the graph of an inequality show?
Answer:
The graph of an inequality shows linear of quadratic inequalities.
Step-by-step explanation:
This is a scientific definition, and it says, "You can graph a linear or quadratic inequality similarly to how you would graph an equation. The difference is that, since an inequality shows a set of values greater than or less than, your graph will show more than just a dot on a number line or a line on a coordinate plane."
someone help me and explain this is really confusing me plzz I'll brainlist u !:)
Answer:
Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x
13 dollars per child and y children so $13y
$20 for each pensioner and p pensioners so $20p
when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer
$25x + $13y + $20p
a) $25x
b) $13y
c) $20p
d) $25x + $13y + $20p
Answer:
a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125
b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52
c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40
d) so, the total will be, = $25x + $13y + $20p
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
What should you know about the slopes of perpendicular lines? SOMEONE HELP ME
Let's use an example
Say we had two lines P and Q. If P has slope 2/5, then Q must have slope -5/2 in order for P and Q to be perpendicular.
Note how -5/2 is the negative reciprocal of 2/5. In other words, you flip the fraction and the sign to go from either slope.
Another thing to notice is that the two slopes multiply to -1. This is true for any pair of perpendicular lines as long as neither line is vertical.
Answer:
The product of the slopes of perpendicular lines is -1.
Step-by-step explanation:
With one exception, the product of the slopes of perpendicular lines is -1. So, if the slopes are 'a' and 'b', we have ...
a·b = -1
a = -1/b . . . solve for a in terms of b
b = -1/a . . . solve for b in terms of a
This tells you that each slope is the negative reciprocal of the other.
__
The exception is horizontal and vertical lines. The slope of a horizontal line is 0; the slope of a vertical line is "undefined." While -1/0 is "undefined", the reverse is not necessarily true: -1/"undefined" is not necessarily zero.
A rectangular field is 62 meters long and 48 meters wide. Diane estimates the length of the field to be 60 meters and
the width to be 45 meters. What is the percent error of Diane's estimated area measurement? Round your answer to
the nearest whole percent.
PLEASEEEEE SOMONE ANSWER THIS LIKE NOW
The percent error of Diane's estimated area measurement is 9%.
To find the percent error, we first calculate the actual area of the rectangular field:
Actual area = length × width = 62 × 48 = 2,976 square metersNext, we calculate the estimated area based on Diane's measurements:
Estimated area = estimated length × estimated width = 60 × 45 = 2,700 square metersThe absolute error is the difference between the actual and estimated areas:
Absolute error = |Actual area - Estimated area| = |2,976 - 2,700| = 276 square metersThe percent error is the absolute error divided by the actual area, multiplied by 100%:
Percent error = (Absolute error / Actual area) × 100% = (276 / 2,976) × 100% = 0.092 × 100% = 9%
Therefore, the percent error of Diane's estimated area measurement is 9% to the nearest whole percent.
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Solve for x.
x = [?]
=
-
5x - 5 2x + 10
Hint: When angles form a linear pair their sum is 180.
5x - 5 + 2x + 10 = 180
How do I solve this?
25 is the value of x in the given equation.
The given condition includes finding the worth of x, which can be accomplished by rearranging and tackling for x.
The left half of the situation contains two terms, 5x - 5 and 2x + 10, which can be consolidated by adding the like terms. 7x + 5 is the result of combing the terms.
Since the sum of the angles in a linear pair is 180 degrees (as indicated in the hint), the equation now becomes 7x + 5 = 180.
By subtracting 5 from both sides of the equation, we can isolate x and solve for it, resulting in 7x = 175. Lastly, we can solve for x by dividing the equation on both sides by 7 to get x = 25.
As a result, 25 is the value of x in the given equation.
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un numero dividido -2 le sumo -6 obtuve 52 que numero es
The number which was used to perform the mathematical operation can be seen to be 64.
How to solveLet x be the number.
We are given that (x/-2)-6=52.
Solving for x, we get x=52+6*2=64.
Therefore, the number is 64.
It can be seen that according to the question, it can be seen that number divided by -2 and then subtracting -6 is equal to 52. Therefore, the number is 64.
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The question in English
A number divided by -2 I add -6 I got 52 what number is it
The data in the table below shows the average temperature in Northern Latitudes:
The line of best fit for the data is approximately y=-1.07x+92.87.
a) True
b) False
The line of best fit for the data is approximately y = -1.07x + 92.87: A) True.
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the latitude would be plotted on the x-axis of the scatter plot while the average temperature would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the latitude and average temperature, a linear equation for the line of best fit is given by:
y = -1.07x + 92.87
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1.a telephone company is asked to provide service to a customer whose house is located in the forest, 900 feet away from the road along which the phone lines run. the nearest telephone box is located 4,200 feet down the road. the cost to install the phone line is $20per foot along the road and $35 per foot away from the road (through he forest).
In total, the cost to install the phone line for the customer in the forest will be $31,500+$84,000=$115,500.
What is meant by addition?Combining two or more numbers or quantities to generate a sum is known as addition in mathematics. One of the four fundamental operations of arithmetic, along with addition, subtraction, multiplication, and division, it is often denoted by the sign "+."
Addition is a key concept that is taught to children at an early age and is utilised in a number of everyday settings such as shopping and banking. It is a crucial tool for tackling increasingly difficult issues in disciplines like engineering, physics, and finance. For example, a telephone company is asked to provide service to a customer whose house is located in the forest, 900 feet away from the road along
Mental computation, pencil and paper, and calculators are only a few of the techniques that may be used to do addition. First, arrange the digits in columns, starting with the ones place, before adding two numbers.
How to solve?
To provide service to the customer in the forest, the telephone company will have to run a phone line 900 feet through the forest at a cost of $35 per foot, for a total cost of 900*$35=$31,500.
Additionally, the company will have to run the line 4,200 feet down the road at a cost of $20 per foot, for a total cost of 4,200*$20=$84,000.
In total, the cost to install the phone line for the customer in the forest will be $31,500+$84,000=$115,500.
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Please help me! Bots keeps answering my questions and I really need an answer
Answer:
D) the bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is 1,792.58 ft
HELP ME PLS
Choose the correct graph of the given systems of equations. y − 2x = −1 2y − x = 4 graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3 graph of two lines intersecting at zero comma negative one with text on graph that reads One Solution 0, negative 1 graph of two parallel lines with positive slopes with text on graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions
The correct graph of the given systems of equations include the following: A. graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3.
What is a graph?In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs (data points) on both the horizontal and vertical lines of a cartesian coordinate, which indicates the x-axis and y-axis respectively.
Next, we would use an online graphing calculator to plot the above system of equations with a point of intersection at (2, 3) as shown in the graph attached below.
By critically observing the graph of the given system of equations, we can logically deduce that it has only one solution, which is the ordered pair (2, 3);
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Divide. Using either synthetic division or long division(2x^3+ 13x^2- 27x - 19) ÷ (x+8)
Given the expression:
\(\mleft(2x^3+13x^2-27x-19\mright)\div(x+8)\)We use synthetic division to obtain our result:
Thus, we conclude that:
\(\frac{2x^3+13x^2-27x-19}{x+8}=2x^2-3x-3+\frac{5}{x+8}\)A pair of in-line skates are on sale for 90$. If this price represents a 9% discount from the original price, what is the original price to the nearest cent?
Choices~
$1,000
$98.90
$8.10
$81.90
Answer:
$98.90 looks right to me
let A and B be nxn matrices. We say that A is similar to B if B = P^-1 AP for some invertible matrix P.
Suppose that if A and B are nxn matrices such that A is similar to B. Prove that if A is invertible then B is invertible and A^-1 is similar to B^-1.
If A is similar to B, and A is invertible, then B is also invertible and the inverse of A, denoted as A^(-1), is similar to the inverse of B, denoted as B^(-1). This can be proved by showing that B^(-1) = (P^(-1))^(-1) A^(-1) P^(-1), where P is the invertible matrix that relates A and B.
Given that A is similar to B, we have B = P^(-1)AP for some invertible matrix P. If we multiply both sides of this equation by P, we get BP = P(P^(-1)AP). Since P^(-1)P is the identity matrix, we have BP = (PP^(-1))AP, which simplifies to BP = A.This shows that B is invertible, with B^(-1) = P^(-1)AP.
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which of the following are perfect squares select all that apply
81
90
121
240
625
1000
Step-by-step explanation:
the perfect squares =
81, 121, 625
Out of110110students,6666areabsentabsent. What percentage of the students areabsentabsent?
16.5
110110/6666=16.5
Given a curve $C$ defined by $\mathbf{r}(t)=\langle 3 t-3,3 t\rangle, 0 \leq t \leq 4$. The line integral $\int_C 2 x^2 \mathrm{~d} y$ is equal to
486
$-486$
None of the others
504
1512
The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.
To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.
Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:
$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.
Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.
Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.
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What does it mean when an observational study is prospective?
- A prospective study requires that individuals took hack in time or require the researcher to look at existing records - A prospective study collects the data over time.
- A prospective study is a list of all individuals in a population along with certain characteristics of each individual.
Prospective observational studies involve collecting data from participants before an event or outcome occurs, while retrospective observational studies collect data after the event has already taken place.
A prospective observational study is a type of observational study that involves collecting data from participants before an event or outcome occurs. This type of study is used to predict and measure outcomes in the future.
In this type of study, the researcher can control the variables, such as when and how the data is collected, and can also observe the effects of any changes in the environment.
On the other hand, a retrospective observational study is a type of observational study that involves collecting data after an event or outcome has already taken place. This type of study is used to study the causes of a given outcome.
In this type of study, the researcher looks back in time and collects data from the past. This type of study is more limited than a prospective observational study, since the researcher cannot control the variables of the study or observe any changes in the environment.
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