The present age of the mother is 26.4 years.the age of the mother and the age of the daughter and then combined them to solve for the age of the mother. The answer is that the present age of the mother is 26.4 years.
Let x = present age of the mother ,Let y = present age of the daughter.According to the question, x + y = 90 and(x+5)=5(y+5).Substituting the value of x + y from the first equation in the second equation,(x+5)=5(y+5.Simplifying the equation, 2y + 5 = 5xRearranging the equation, 2y = 5x - 5,Dividing both sides by 2, y = (5x - 5) / 2 ,Substituting the value of y in the first equation, x + ((5x - 5) / 2) = 90 Simplifying, 2x + 5x - 5 = 180 .7x = 185 .Dividing both sides by 7, x = 185 / 7 ,x = 26.4 Therefore, the present age of the mother is 26.4 years.
Learn more about age here:
https://brainly.com/question/14159240
#SPJ4
If triangle XYZ is dilated from center C by a scale factor of 0.5 to form triangle X'Y'Z', where is the center of the dilation, point C, located? Click on coordinate plane to plot the point.
The center of dilation, point C, is located at (4, 3/2). The center of dilation, point C, is the point of intersection of the lines joining each vertex of the original triangle to the corresponding vertex of the dilated triangle.
Since triangle XYZ is dilated by a scale factor of 0.5, each point of the dilated triangle is located halfway between the corresponding point of the original triangle and the center of dilation, point C.
Therefore, to find the location of point C, we need to find the midpoint of each line segment joining the corresponding vertices of the original and dilated triangles.
Plotting the vertices of the original triangle at points X(2, 4), Y(6, 2), and Z(3, 5) on the coordinate plane, we can use the midpoint formula to find the midpoint of each segment.
Midpoint of segment XX' = (2 + 6)/2, (4 + 2)/2 = (4, 3)
Midpoint of segment YY' = (6 + 18)/2, (2 + 4)/2 = (12, 3)
Midpoint of segment ZZ' = (3 + 9/2)/2, (5 + 7/2)/2 = (15/4, 11/4)
The point of intersection of the lines joining the original vertices to the dilated vertices is point C(4, 3/2).
Find out more about the Midpoint of segment
brainly.com/question/30808620
#SPJ4
The favorite ice cream bar of a family of four is packaged as 6 ice cream bars per box. The mother of the family wants to buy enough boxes of ice cream bars so that she can share the ice cream bars equally with all the members of the family, and there will be no extra ice cream bars left over. (a) What is the least number of boxes of ice cream bars she can purchase to achieve her goal? (b) How many ice cream bars will each family member receive? (c) Please explain how to solve the problem
Answer:
Step-by-step explanation:
If the mother wants to get the amount of ice cream bars that will not contain any leftovers for her family of four, the least amount of boxes the mother could purchase to receive her goal is 2 boxes
MATH-
1 box= 6 bars
2 boxes= the bars(6)x2, which is equal to 12 ice cream bars
If you split 12 evenly between the members of her family which is 4 people,
12÷4=3 or 4x3=12
each family member would receive 3 ice cream bars each.
Find the perimeter of these shapes. Give answers to 1 decimal place.
1. The perimeter is 41.16 cm
2. The perimeter is 165.7 cm
Define the term perimeter?Perimeter is a term used in geometry to describe the total length of the boundary or the distance around the edge of a two-dimensional shape.
1. Here, radius = 4cm,
Circumference of quarter circle = [tex]\frac{1}{4}[/tex] ×2πr = [tex]\frac{1}{4}[/tex] ×2×3.14×4 = 6.29 cm
Circumference of four quarters circle= 4×6.29 = 25.16 cm,
and 4 extra portion 4×4 = 16 cm
So, the Perimeter = 25.16 + 16 = 41.16 cm
2. The diameter = 40 cm then, Radius= 20 cm
here, 2 quarter circle and 1 half circle is equal to 1 complete circle.
Then circumference of circle equal to 2π r = 2×3.14×20 = 125.71,
So the perimeter = 125.71 + 20 + 20 = 165.7 cm
To know more about circle, visit:
https://brainly.com/question/8952990
#SPJ1
6. Match each situation to one of the equations. (4 pts)
A
A whale was diving at a rate of 2 meters per second. How long will it take for
the whale to get from the surface of the ocean to an elevation of 12 meters
at that rate?
B.
A swimmer dove below the surface of the ocean. After 2 minutes, she was
12 meters below the surface. At what rate was she diving?
C.
The temperature was-12 degrees Celsius and rose to 2 degrees Celsius.
What was the change in temperature?
D. The temperature was 2 degrees Celsius and fell to -12 degrees Celsius. What
was the change in temperature?
The equation would be: ΔT = 2 - (-12) = 14 degrees Celsius, ΔT = T2 - T1, where ΔT is the change in temperature, T2 is the final temperature (-12 degrees Celsius)
A. d = rt, where d = 12 meters, r = 2 meters per second (rate), and t is the time it takes for the whale to get to an elevation of 12 meters. The equation would be:
12 = 2t
B. r = d/t, where r is the rate of diving, d = 12 meters (depth), and t = 2 minutes (time). The equation would be:
r = 12/(2 x 60) = 0.1 meters per second
C. ΔT = T2 - T1, where ΔT is the change in temperature, T2 is the final temperature (2 degrees Celsius), and T1 is the initial temperature (-12 degrees Celsius). The equation would be:
ΔT = 2 - (-12) = 14 degrees Celsius
D. ΔT = T2 - T1, where ΔT is the change in temperature, T2 is the final temperature (-12 degrees Celsius), and T1 is the initial temperature (2 degrees Celsius). The equation would be:
ΔT = -12 - 2 = -14 degrees Celsius
Learn more about temperature here
https://brainly.com/question/29768169
#SPJ1
Question 1-12
6
Select all the expressions that are equivalent to 9x + 5(6/5x+3)-30
15x-30
16(x-2)
15x-15
15(x-1)
16(x-1)
16(x-1)
The equivalent expressions for the expression 9x + 5(6/5x+3)-30 are (15x-15) and 15(x-1).
Equivalent expressions:
Equivalent expressions are mathematical expressions that have the same value, even though they may look different.
Here are some examples:
2x + 4 and 4 + 2x are equivalent expressions.
(Proof: 2x + 4 = 4 + 2x for any value of x)
3(x + 2) and 3x + 6 are equivalent expressions.
(Proof: Distributing the 3, we get 3(x + 2) = 3x + 6)
Here we have
9x + 5(6/5x+3)-30
The above expression can be simplified as follows
=> 9x + 5(6/5x) +5(3) -30 [ Multiply 5 with (6/5x+3) ]
=> 9x + (6x) + 15 -30
=> 15x - 15 [ Add like terms ]
=> 15(x - 1) [ take 15 as common ]
Hence,
The equivalent expressions for the expression 9x + 5(6/5x+3)-30 are (15x-15) and 15(x-1).
Learn more about Equivalent expressions at
https://brainly.com/question/28170201
#SPJ9
Question 4 0.25 pts Samples of four people were asked whether gun laws should be more stringent. Respondents had a choice to answer "yes" or "no." The sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is o binomial because the number of people who respond "yes" has binomial distribution o not possible to say because the sample size it too small o not possible to say because population distribution is not known o normal
The sampling distribution of the proportion of people who respond "yes" in samples of 4 individuals is not binomial. This is because the binomial distribution has specific requirements that must be met, including a fixed number of trials, independent outcomes, and a constant probability of success. the probability of observing a sample proportion of 0.75 or higher is approximately 0.16.
Assuming that the sample size is sufficiently large and the proportion of people who respond "yes" in the population is not too close to 0 or 1, the sampling distribution of the proportion of people who respond "yes" in samples of 4 individuals can be approximated by a normal distribution using the Central Limit Theorem. This means that the distribution of the sample proportion will be approximately normal with a mean equal to the population proportion and a standard deviation equal to the square root of [p(1-p)/n], where p is the population proportion and n is the sample size.
For example, let's say that we know that 60% of the population believes that gun laws should be more stringent. If we take samples of 4 individuals and calculate the proportion of people who respond "yes" in each sample, the sampling distribution of these proportions can be approximated by a normal distribution with a mean of 0.6 and a standard deviation of sqrt[(0.6)(0.4)/4] = 0.15.
Using this normal approximation, we can calculate probabilities and confidence intervals for the sample proportion. For example, if we take a sample of 4 individuals and find that 3 of them respond "yes," the sample proportion is 0.75. We can calculate the probability of observing a sample proportion of 0.75 or higher by standardizing the sample proportion using the mean and standard deviation of the sampling distribution:
z = (0.75 - 0.6)/0.15 = 1
Using a standard normal distribution table or calculator, we can find that the probability of observing a standard normal random variable greater than or equal to 1 is approximately 0.16. This means that the probability of observing a sample proportion of 0.75 or higher is approximately 0.16.
In summary, while the sampling distribution of the proportion of people who respond "yes" in samples of 4 individuals is not binomial, it can be approximated by a normal distribution using the Central Limit Theorem under certain conditions. This approximation allows us to calculate probabilities and confidence intervals for the sample proportion, even when the exact distribution is unknown.
To know more about sampling distribution click here:
brainly.com/question/13501743
#SPJ4
a highway superintendent states that four bridges into a city are used in the ratio 2334 durng the morning rush hour a highway study of an srs of 6000 cars indicates that
A highway superintendent states that four bridges into a city are used in the ratio 2:3:3:4 during the morning rush hour.
A highway study of an SRS of 6000 cars indicates that main answer in 40 words and explanation in 140 words.According to the question, there are four bridges into the city, and they are used in the ratio of 2:3:3:4.
That means that for every 2 cars coming from the first bridge, there are 3 cars coming from the second and the third bridges and 4 cars coming from the fourth bridge.According to the SRS of 6000 cars, the total number of cars from the first bridge is: 2/12 * 6000 = 1000
The total number of cars from the second bridge is: 3/12 * 6000 = 1500The total number of cars from the third bridge is: 3/12 * 6000 = 1500The total number of cars from the fourth bridge is: 4/12 * 6000 = 2000
Therefore, the number of cars coming from the first, second, third, and fourth bridges are 1000, 1500, 1500, and 2000, respectively, during the morning rush hour.
To know more about morning rush click on below link:
https://brainly.com/question/28254231#
#SPJ11
a history of active exercise was compared between women with hip fracture and unmatched controls. active exercise in the previous two years was reported by 31% of the cases and 46% of the controls. what is the association between hip fracture and active exercise?
There is a potential association between hip fracture and active exercise, as a smaller proportion of women with hip fracture reported active exercise compared to the controls
Based on the provided information, we can say that there is a potential association between hip fracture and active exercise. The fact that a smaller proportion of women with hip fracture reported active exercise compared to the controls suggests that active exercise may have a protective effect against hip fracture.
However, it's important to note that this comparison alone does not establish a cause-and-effect relationship between active exercise and hip fracture. Other factors, such as age, bone density, and overall health status, may also play a role in the development of hip fractures.
To further evaluate the relationship between hip fracture and active exercise, additional research would be needed, including studies with larger sample sizes, more detailed information on exercise habits, and adjustments for potential confounding factors.
Learn more about hip fracture here
brainly.com/question/11156537
#SPJ4
You were trying to answer a multiple choice question on a standardized test there are six choices if you get the question are you game and play if you get a wrong you lose 1/3 point assume you can eliminate one of the six choices and you choose one of the remaining five at random as your answer what is the expected value of the number of points you get
Let's first calculate the probability of getting the question right if you eliminate one of the six choices. Since there are six options, initially you have a 1/6 chance of getting the question right. If you eliminate one of the options, you are left with five choices, so your probability of getting the question right increases to 1/5.
Now, let's calculate the expected value of the number of points you get. If you get the question right, you earn one point. If you get the question wrong, you lose 1/3 point. So, we can write the expected value as:
Expected value = Probability of getting the question right x Points for a correct answer + Probability of getting the question wrong x Points for a wrong answer
Let's plug in the values:
Expected value = (1/5) x 1 + (4/5) x (-1/3)
Expected value = 1/5 - 4/15
Expected value = -1/15
So, the expected value of the number of points you get is -1/15. This means that, on average, you can expect to lose about 0.067 points for each question you attempt.
Cones A and B both have volume 48 pi cubic units but have different dimensions. Cone A has a radius of 6 units and a height of 4 units. Find one possible radius and height for Cone B. Explain how you know Cone B has the same volume as Cone A
The dimension of cone B is r = 4 and h = 9. Because the volume formula for a cone only considers the radius and height of the cone and not orientation, we know that cones B and A have the same volume.
What is volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Many forms have various volumes. In 3D geometry, we have examined the numerous forms and solids such as cubes, cuboids, cylinders, cones, etc., that are specified in three dimensions. We will discover how to find the volume for each of these forms.
The volume of the cone is given by:
Volume = (1/3)πr²h
For cone B:
48π = (1/3)πr² * h
144 = r² * h
Suppose the r = 4 and h = 9:
144 = 4² * 9
144 = 144
True.
The possible dimension of cone B is r = 4 and h = 9.
Because the volume formula for a cone only considers the radius and height of the cone and not its shape or orientation, we know that cones B and A have the same volume. We utilised this rule to get the potential values for cone B: any two cones with the same volume must have the same product of radius and height.
Learn more about volume here:
https://brainly.com/question/1578538
#SPJ1
What is 4 times 1/3?
Solve for Y. Set up proportion
Answer:
y=12
Step-by-step explanation:
[tex]\frac{y}{24} =\frac{6}{y} \\y*y}= 6*24\\y^{2} =144\\y=12[/tex]
In the triangle the value of altitude y will be equal to 12 .
Proportion : y/24 = 6/y
Given,
Triangle.
Here,
First set up the proportions to solve for y,
Proportion : y/24 = 6/y
Now from the proportion solve for y,
y/24 = 6/y
y² = 144
y = √144
y = 12
Thus the value of y is 12 .
Know more about triangle,
https://brainly.com/question/8476788
#SPJ2
a virus is accidentally released from a cdc lab. the virus infects everyone in a 24 mile radius from the cdc lab where it was released. if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected?
If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.
When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.
The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:
The area of a circle with a radius of 24 miles is A = πr²,
which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.
Therefore, the number of people infected is calculated by multiplying the area by the population density:
Residents infected = area x population density
= 1,809.56 x 18.8 ≈ 34,037.
Approximating to the nearest hundred yields 34,000.
For similar question on density.
https://brainly.com/question/1354972
#SPJ11
Given mn, find the value of x.
(2x+8)
PLS HURRY!! also i need alot of help so dont mind all the questions
The value of x in the diagram given in the question above is 61°
How do i determine the value of x?The value of x can be obtained as illustrated below:
Expression given: (x - 11)°, (2x + 8)°Value of x =?(x - 11)° + (2x + 8)° = 180° (angle on a straight line)
Clear the brackets
x - 11 + 2x + 8 = 180°
Rearranging the above, we have:
x + 2x - 11 + 8 = 180
3x - 3 = 180
Collect like terms
3x = 180 + 3
3x = 183
Divide both sides by 3
x = 183 / 3
x = 61°
Thus, from the above calculation, we can conclude that the value of x is 61°
Learn more about transversal and Parallel Lines:
https://brainly.com/question/25903313
#SPJ1
if a1 = 4 and an = (an-1)^2 -3 then find the value of a3
In conclusion the value of a3 is 166.
How to solve and what does recursive mean?
We can use the given recursive formula to find the values of the sequence:
a1 = 4
a2 = (a1)²2 - 3 = 13
a3 = (a2)²2 - 3 = (13)²2 - 3 = 166
Therefore, the value of a3 is 166.
Recursive refers to a process or function that calls itself repeatedly until a specific condition is met. In mathematics, a recursive sequence or formula is a sequence that is defined in terms of its previous terms, such that the value of each term depends on the value of the previous term(s).
To know more about recursive related question visit:
https://brainly.com/question/17298888
#SPJ1
The table represents the equation y=2-4x
The missing value in the table for x = –1 is Y=6 is the value that x=-1 lacks.
Describe equation-An equation is a mathematical statement that two expressions are equal. It consists of two expressions that contain numbers, variables, and/or operators, and is written in a symbolic form. Equations are used to explain a variety of real-world phenomena and also used to describe the behavior of physical systems.An equation can be used to solve for a single unknown variable or to find relationships between multiple variables.
How to resolve the equation?
The equation's unknown value can be obtained by inserting known values for them.
Provided is the equation y=2-4x.
discover y when x=-1
Replace x=-1 in the given equation,
We obtain y=2-4 (-1)
y=6
Therefore, the value of y at x=-1 is 6.
To know more about equation click-
brainly.com/question/2972832
#SPJ1
Complete questions as follows-
The table represents the equation y = 2 – 4x The x-values are the The y-values are the The missing value in the table for x = –1 is y =
F(x) =x^2-3x+9 for x=2 and f(x) =kx +1 for x>2 for what value of k , if any. Is f continuous at x=2?
For the equation [tex]F(x) = x^2 - 3x + 9[/tex], when x = 2, F(x) = 5. For the equation f(x) = kx + 1, when x > 2, F(x) = kx + 1. For the two equations to be continuous at x = 2, k must equal 4. Yes, f(x) is continuous at x = 2.
For the equation [tex]F(x) = x^2 - 3x + 9[/tex], when x = 2, [tex]F(x) = 2^2 - 3(2) + 9 = 4 + (-6) + 9 = 5.[/tex]
For the equation f(x) = kx + 1, when x > 2, F(x) = kx + 1. We must find the value of k such that F(x) is continuous at x = 2. To do this, we must set F(2) = f(2).
5 = 4k + 1
4k = 4
k = 1
Therefore, for the two equations to be continuous at x = 2, k must equal 1. Yes, f(x) is continuous at x = 2.
Learn more about equation here
https://brainly.com/question/28243079
#SPJ4
the price of a gallon of unleaded gas was $2.83 yesterday. Today, the price rose to $2.90. find tge percentage increase. round ur answer to the nearest tenth of a percent
The price rose by [tex]2.5\%[/tex]
What is percentage?A percentage is a number or ratio that represents a fraction of 100.
The change in price is
[tex]2.90 - 2.83 = 0.07[/tex]
The increase percentage is
[tex]\text{p}=\dfrac{0.07\times100}{2.83}[/tex]
[tex]\text{p}=2.473[/tex]
Learn more about Percentage:
https://brainly.com/question/13450942
Suppose you trap 255 stickleback fish in a lake and mark them by clipping the first spine of their dorsal fins. One month later you recapture a total of 162 individuals, 78 of them marked. Estimate the total population size.
The estimated total population size of stickleback fish in the lake is approximately 530 individuals.
The mark and recapture method can be used to estimate the total population size of a species in a particular area. Based on the information provided, we can use the Lincoln-Petersen method to estimate the population size.
The formula for the Lincoln-Petersen method is
N = (M x R) / C
Where
N = total population size
M = number of individuals in the first sample (marked individuals)
R = number of individuals in the second sample (recaptured individuals)
C = number of marked individuals recaptured in the second sample
Using the given information, we can plug in the values to the formula
N = (255 x 162) / 78
N = 529.62
N = 530
Learn more about Lincoln-Petersen method here
brainly.com/question/30978523
#SPJ4
In ΔWXY, y = 940 inches, mm∠Y=100° and mm∠W=38°. Find the length of w, to the nearest inch
Rounding to the nearest inch, the length of side W (w) is approximately 588 inches.
Here, we have,
To find the length of side W (w) in triangle WXY, we can use the Law of Sines, which states:
a/sin(A) = b/sin(B) = c/sin(C)
where:
a, b, c are the side lengths of the triangle.
A, B, C are the opposite angles to sides a, b, c, respectively.
In this case, we have:
Side XY = y = 940 inches
Angle Y = ∠Y = 100°
Angle W = ∠W = 38°
We want to find the length of side W (w).
Using the Law of Sines:
w/sin(∠W) = y/sin(∠Y)
Now, substitute the given values:
w/sin(38°) = 940/sin(100°)
Now, solve for w:
w = (940 * sin(38°)) / sin(100°)
Using a calculator:
w ≈ (940 * 0.6157) / 0.9848
w ≈ 588.388
Rounding to the nearest inch, the length of side W (w) is approximately 588 inches.
To learn more trigonometry click:
brainly.com/question/26719838
#SPJ12
Identify the sequence as arithmetic, geometric, or neither. 1.6, 0.8, 0.4, 0.2, explain
Answer:
each term is half the previous one. 1.6 *.5^(n-1). is a geometric sequence.
This is a geometric sequence with a common ratio of 1/2. Therefore, option B is correct.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed constant called the common ratio (r).
In other words, if the first term of the sequence is "a", then the nth term of the sequence is given by:
an = a * r^(n-1)
where "n" is the position of the term in the sequence.
In this question:
To see why, notice that each term is half of the previous term:
0.8 is half of 1.6
0.4 is half of 0.8
0.2 is half of 0.4
In a geometric sequence, each term is obtained by multiplying the previous term by a fixed constant, which is called the common ratio. In this case, the common ratio is 1/2, because each term is half of the previous term.
So the sequence can be written as:
1.6, 0.8, 0.4, 0.2, …
or
a₁, a₁/2, a₁/4, a₁/8, …
where a₁ is the first term, which is 1.6 in this case.
Learn more about geometric sequence here:
https://brainly.com/question/3317114
#SPJ2
I need help on this asap! PLEASE, IT'S DUE TODAY!!!!!
Answer:
a) Given two perpendicular sides of a square (as given in the diagram), we can construct two more perpendicular lines that are parallel to the initial two (since we are given their slopes). The intersection of these two lines is the unknown point.
b) From points A and C we can construct lines perpendicular from the lines coming out of point B. The intersections of these lines will be our unknown point.
Find the value of A in the following equation if you know it
goes through the point (1,2).
Ax + 2y = 9
A =
Answer: 5
Step-by-step explanation:
Substitute the values:
A(1) + 2(2) = 9
A + 4 = 9
A = 9 - 4
A = 5
Prove the triangles are congruent. Make sure to include all the steps of a proof.
Check the picture below.
Write an equation in point-slope form that has a y-intercept at (0, -3) and also contains the point (4, 5).
Write your answer as an equation with numbers, letters, and symbols - no spaces.
Answer: The point-slope form of an equation of a line is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
We are given the y-intercept at (0, -3), which means that this point is on the line and that the line crosses the y-axis at y = -3. Therefore, the y-coordinate of the y-intercept is -3.
We are also told that the line passes through the point (4, 5), which means that this point is also on the line. Therefore, x1 = 4 and y1 = 5.
To find the slope of the line, we can use the two points (0, -3) and (4, 5):
slope = (y2 - y1) / (x2 - x1)
slope = (5 - (-3)) / (4 - 0)
slope = 8 / 4
slope = 2
Now that we have the slope and a point on the line, we can use the point-slope form to write the equation of the line:
y - y1 = m(x - x1)
y - 5 = 2(x - 4)
This is the equation of the line in point-slope form that has a y-intercept at (0, -3) and also contains the point (4, 5).
Step-by-step explanation:
the marked price of an tv is 45000. after allowing certain percent discount and adding 13% vat, the tv is sold at rs 40680.calculate the selling price of tv without vat (ans=36,000)
Step-by-step explanation:
x = 45000 - (Discount % * 45000/100)
x = 45000 - (Discount % * 450)
Given that the selling price after adding 13% VAT is Rs. 40680, we can write:
x + (13% * x/100) = 40680
Simplifying the above equation, we get:
x = 36000
Therefore, the selling price of the TV without VAT will be x, which is Rs. 36000.
So the final answer is that the selling price of the TV without VAT is Rs. 36000
please mark brainliest
Given that A, O & B lie on a straight line segment, evaluate
x
.
The diagram is not drawn to scale.
The value οf x frοm the given diagram is 36°
What is the linear functiοn?A functiοn with οne οr twο variables and nο expοnents is referred tο as a linear functiοn. It is a functiοn with a straight line as its graph.
The sum οf angles οn a straight line.
The sum οf angles οn a straight line is 180°.
In this scenariο, the sum οf angles οn the straight line: AOB is 180°.
Therefοre, we have
3x + x + x = 180°
5x = 180
x = 36°
Hence, The value οf x frοm the given diagram is 36°
To learn more about the sum of angles on a straight line visit:
brainly.com/question/24024505
#SPJ1
Complete Question:
can someone helpp please
The center of the specified circle is at (-7, 4). Thus, the updated center will be (-7 - 3, 4 - 4) = (-10, 0).
What are the new equation and circle center?In order to move the circle 3 units to the right and 4 units below, we must subtract 3 from x and 4 from y. Thus, the updated center will be (-7 - 3, 4 - 4) = (-10, 0).
The equation for the resulting circle can be discovered by adding the new center and simplifying. The standard version of the circle's equation is [tex](x - h)^2 + (y - k)^2 = r^2[/tex], with (h, k) denoting the circle's center and r denoting the radius. We can use the new center (-10, 0) and the original equation [tex](x+7)^2+(y-4)^2=36[/tex]to replace the original equation.
Learn more about linear equations here:
brainly.com/question/11897796
#SPJ1
What does y represent in the situation? Y= 8x + 5
Slope = 8 is the value of equation of Slope Intercept Form .
What does the Slope Intercept Form Equation stand for?
A straight line's slope and the location of its y-axis intersection are utilized to determine the general equation of the line using the slope intercept equation. Y = mx + b is the slope intercept form equation. One formula for figuring out a line's equation is the slope-intercept formula. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.
Y= 8x + 5
Compare the equation to the y = mx + c
slope = 8
c = 5
Learn more about Slope Intercept Form
brainly.com/question/29146348
#SPJ1
Radicals and Rational Exponents
Need help
Answer:
the answer for this question is A