The answer to this question depends on several factors, including the speed of Mary's boat, the width of the river or body of water she is crossing, and any currents or winds that may affect her trajectory.
What is distance?Distance is defined as the amount or extent of displacement between two points. It is critical to understand that the distance between two sites does not equal the distance traveled between them. The distance traveled is the entire length of the journey traveled between two places. Distance is the length of an object's path, whereas displacement is the distance between where the thing started and where it ended up. Distance is defined as the whole length of an object's true path. The displacement of an object between two locations is the smallest straight line distance between those positions, directed from one to the other.
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a company manufacturers soda cans with a diameter of 52 millimeters. in a sample of 12 cans, the standard deviation was 2.3 millimeters. what would be the 96% confidence interval for these cans?
The 96 % confidence interval for the cans, given the diameter and standard deviation, is (50.45, 53.55).
How to find the confidence interval ?The 96% confidence interval for the mean diameter of soda cans manufactured by the company can be calculated using the following formula:
= Mean ± (critical value x standard deviation / square root of sample size)
The critical value for a 96 % confidence interval is 2. 33 so the lower bound of the interval is:
= 52 - ( 2.33 x 2. 3 / √12 )
= 50. 45
The upper bound of the interval is:
= 52 + ( 2.33 x 2. 3 / √12 )
= 53. 55
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please help ! i’m so confused
Answer:
7
Step-by-step explanation:
3^2 = 9
18-9=9
63÷ 9=7
Answer:
7
Step-by-step explanatio
63 ÷ (18-9)
63÷9= 7
for that, she needs 20 grams of a 52% solution of salt. she has two bottles of salt water. one bottle contains a 40% salt solution and the other a 70% salt solution. how much of each must she use to make the solution she needs?
The solution used to make 40% of salt solution is 12 grams and 70% of salt solution is 8 grams.
Let us consider 'a' represents the 40% of salt in water.
And 'b' represents the 70% of salt in water.
Total salt required to make 52% salt solution = 20 grams
Required equations is :
a + b = 20
⇒ a = 20 - b ___( 1 )
40% of a + 70% of b = 52% of 20 grams
⇒ 0.40a + 0.70b = 10.4 ___( 2 )
Substitute the value of 'a' in equation ( 2 ) from (1) we get,
0.40( 20 - b ) + 0.70b = 10.4
⇒8 - 0.40b + 0.70b = 10.4
⇒ 0.30b = 10.4 - 8
⇒ b = 2.4 / 0.30
⇒ b = 8
⇒ a = 12
Therefore, the solution used by Serena for 40% is 12 grams and 70% solution is 8 grams.
The above question is incomplete , the complete question is:
Serena is making an experiment. For that, she needs 20 grams of a 52% solution of salt. She has two large bottles of salt water: one with 40% and the other with 70% of salt in them. How much of each must she use to make the solution she needs?
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If line r through (1, 1) and (5, 7) is parallel to line s through (4, -2) and (x, y), what are possible values for x and y?
If line r through (1, 1) and (5, 7) is parallel to line s through (4, -2) and (x, y),
all the possible values of x and y are those values that satisfy the equation 3x - 2y = 16.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
If line r through (1, 1) and (5, 7) is parallel to line s through (4, -2) and (x, y),
then their slopes are equal.
(7 -1)/(5 - 1) = (y + 2)/(x-4)
3/2 = (y + 2)/(x-4)
3x - 12 = 2y + 4
3x - 2y = 16.
Therefore, all the values that satisfy the equation 3x - 2y = 16.
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Triangle bac was dilated from triangle bde at a scale factor of 2. what proportion proves that cos∠d = cos∠a? triangles bde and bac, in which angle b is a right angle, point d is between points b and a, and point e is between points b and c; bd measures 2 units, be measures 3 units, and de measures 3 and 61 hundredths units. 2 over 3 and 61 hundredths = 4 over 7 and 22 hundredths three halves = six fourths 3 over 3 and 61 hundredths = 6 over 7 and 22 hundredths two thirds = four sixths
According to the solving triangle proportion proves that cos ∠d = cos ∠a is
3/3.61 = 6/7.22
What is triangles?A triangle seems to be a three-sided polygon with three vertices. The angles of both the triangle are formed by the connection of the three sides end to end at a single point. The triangle's three angles add up to 180 degrees.
According to the given information:
Right angled triangles BAC and BDE are comparable to one another.
This is due to the fact that when a shape is dilated, then new shape would resemble the previous shape but be smaller. Both shapes' angles are the same if they both stay the same.
Scale factor = 2
BE = 3, BD = 2, DE = 3.61
Each of the corresponding sides of ∆BDE will be multiplied to get each of the corresponding sides of ∆ABC.
BC = 2×BE = 2×3 = 6
AB = 2×DE = 2×3.61 = 7.22
See second diagram
sin ∠D = opposite/hypotenuse = BE/DE
BE/DE = 3/3.61
sin ∠A = BC/AC
BC/AC = 6/7.22
Therefore sin ∠D = sin ∠A
3/3.61 = 6/7.22 (C)
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Answer:3/3.61 = 6/7.22
Step-by-step explanation:
got it right on the test
Given the km represents an angle bias for, find the value of x and KL
Answer:
Answer is in attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do note that to solve this question, there are multiple ways (using Pythagoras' Theorem), this is only one of the ways.
Trapezoid WHNT id shown where R is the midpoint of HN, Y is the midpoint of WT.
WH = 10x +2.6,
NH = 11x- 7.4,
TN 23x -3.9,
RY = 18x- 4.1, and
WT = 8x + 5.2.
Answer:
It looks like you're trying to solve a problem involving geometry and algebra. To solve this problem, you need to use the information given in the statements to find the value of x and then use that value to find the lengths of the sides of the trapezoid.
Starting with the first statement, we have:
WH = 10x + 2.6
NH = 11x - 7.4
Next, we can use the information about Y being the midpoint of WT to find the value of WT:
WT = 2 * RY = 2 * (18x - 4.1) = 36x - 8.2
Using the information about R being the midpoint of HN, we can find the value of HN:
HN = 2 * RY = 2 * (18x - 4.1) = 36x - 8.2
Finally, using the information about TN, we can find the value of TN:
TN = 23x - 3.9
With these values, we can now find the lengths of the sides of the trapezoid. The length of the top side (WH) is 10x + 2.6, the length of the bottom side (TN) is 23x - 3.9, the length of the left side (NH) is 11x - 7.4, and the length of the right side (WT) is 36x - 8.2.
Note: To fully solve the problem, you will need to use the given equations to find the value of x.
To find the value of x, we need to equate the midpoint formula with the given expressions.
The midpoint formula is (x1 + x2)/2 = x and (y1 + y2)/2 = y.
We can use this formula to find the value of x.
For example, for the midpoint R:
x = (WT + NH)/2
x = (8x + 5.2 + 11x - 7.4)/2
x = (19x - 2.2)/2
x = 9.5x - 1.1
And for the midpoint Y:
y = (WH + TN)/2
y = (10x + 2.6 + 23x - 3.9)/2
y = (33x - 1.65)/2
y = 16.5x - 0.825
Now we have two equations:
9.5x - 1.1 = 16.5x - 0.825
7x = 0.725
x = 0.725/7
x = 0.104285714
So the value of x is approximately 0.104285714.
Answer:
Step-by-step explanation:0.1
You are applying for jobs at two companies. Company A offers starting salaries with $$ \mu = $31,000 $$ and $$ \sigma = $1000 $$ . Company B offers starting salaries with $$ \mu = $31,000 $$ and $$ \sigma = $5000 $$ . From which company are you more likely to get an offer of $33,000 or more? Explain your reasoning.
As a result, Company B is more likely to make you an offer of $33,000 or more than Company A.
What is standard deviation?The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Here,
To determine which company you are more likely to receive an offer of $33,000 or more, we need to look at the standard deviations of each company's starting salary. Company B has a standard deviation of $5000, which is 5 times greater than Company A's standard deviation of $1000. This means that the salaries offered by Company B are spread out over a larger range, with a higher chance of extreme values.
We can calculate the z-score for an offer of $33,000 from each company using the formula:
z = (x - μ) / σ
For Company A:
z = ($33,000 - $31,000) / $1000 = 2
For Company B:
z = ($33,000 - $31,000) / $5000 = 0.4
A z-score of 2 for Company A indicates that an offer of $33,000 is 2 standard deviations above the mean, which is relatively rare. On the other hand, a z-score of 0.4 for Company B indicates that an offer of $33,000 is only 0.4 standard deviations above the mean, which is much more likely.
Therefore, you are more likely to receive an offer of $33,000 or more from Company B than Company A.
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hat is the ratio of the area of a regular hexagon to the area of the hexagon which uses the midpoints of the first hexagon's sides as its vertices? express your answer as a common fraction.
The ratio of the area of a regular hexagon to the area of the smaller hexagon that uses its midpoints as vertices is 4:1. The common factor in this expression is 4
The closed polygonal shape of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides. Regular pentagons, for instance, have 5 equal sides, and regular octagons have 8 equal sides. When these requirements are not met, polygons might resemble many other asymmetrical shapes. A regular hexagon is formed when six equilateral triangles are placed side by side. The regular hexagon's area then increases to six times that of the same triangle. In this post, let's learn about its features, the formula for area, and the perimeter.
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For each pair of equations, determine whether the second equation is the result of a valid operation on the first. If what is the operation.
1. 7 + 5x= 3 - 2x and 7 + 7x = 3
2. 3(x - 4) = 15 and x - 4 = 15
3. x^2 = 6x and x = 6
4. 1/(x - 5) = 10 and 1 = 10(x - 5)
^ this one is a fraction 1 over (x - 5)
The following pairs of equations have its second equation valid
7 + 5x= 3 - 2x and 7 + 7x = 3
1/(x - 5) = 10 and 1 = 10(x - 5)
The invalid equations are;
3(x - 4) = 15 and x - 4 = 15
x^2 = 6x and x = 6
How to calculate using mathematical operation?1. 7 + 5x= 3 - 2x and 7 + 7x = 3
Add 2x to both sides
7 + 5x + 2x = 3
7 + 7x = 3
Valid
2. 3(x - 4) = 15 and x - 4 = 15
3x - 12 = 15
Invalid
3. x^2 = 6x and x = 6
find the square root of both sides
√x² = √6x
x = √6x
Invalid
4. 1/(x - 5) = 10 and 1 = 10(x - 5)
cross product
1 × 1 = 10(x - 5)
1 = 10(x - 5)
Valid
Therefore, 7 + 5x= 3 - 2x and 7 + 7x = 3;
1/(x - 5) = 10 and 1 = 10(x - 5) are the valid equations.
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g if there must be at least one person in each table, in how many ways can 6 people be seated (at round two tables?
There are 3600 ways to seat 6 people at two round tables, with at least one person at each table.
In this scenario, we have 6 people to seat at 2 round tables, meaning each table must have at least 3 people.
We can start by finding the number of ways to seat 6 people at one table, then divide that by 2 to account for the two tables.
For one round table, there are 6! (6 factorial) ways to seat 6 people. This is because, for the first seat, there are 6 options. For the second seat, there are 5 options remaining; for the third seat, there are 4 options, and so on.
However, this number counts the same arrangement of people multiple times, as the arrangement can start with any person. So, to correct this, we divide 6! by 6, which gives us 720/6 = 120 ways to seat 6 people at one round table.
Now, since we have two tables, each table must have 120/2 = 60 arrangements. This means there are 60 x 60 = 3600 ways to seat 6 people at two round tables.
In conclusion, there are 3600 ways to seat 6 people at two round tables, with at least one person at each table.
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HELP PLEASE ITS WORTH 20 POINTS!!!
Answer:
y= x/2 - 3 : linear
y= 6/x -2 : nonlinear
3x + y = 12: linear
y = x: linear
The pharmacist has a 2.8 L bottle of cough syrup. If she fills a bottle that is 1,200 ml, how many ml of cough syrup does the pharmacist have left? (1 L = 1,000 ml) 160 ml
Answer:
1600 mL
Step-by-step explanation:
if 1L = 1000mL then:
2.8L is equal to 2800mL
2800 - 1200 = 1600
I need help now please
Answer:8,5
Step-by-step explanation: look at where the dots are and see the numbers
Answer:
AC = 3[tex]\sqrt{5}[/tex] ≈ 6.71
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
AC² = AB² + BC² = 6² + 3² = 36 + 9 = 45 ( take square root of both sides )
AC = [tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex] ← exact value
AC ≈ 6.71 ( to the nearest hundredth )
Mrs. Rivera bought 5 pounds of bananas for 0. 45 Per pound how much did she spend in all
The total amount spent by Mrs. Rivera is given by the equation A = $ 2.25
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount spent by Mrs. Rivera be represented as A
Now , the equation will be
The cost of one pound of banana = $ 0.45
The total amount of bananas = 5 pounds
So , the total amount of money for 5 pounds = 5 x cost of one pound of banana
Substituting the values in the equation , we get
The total amount of money for 5 pounds of banana A = 5 x 0.45
The total amount of money for 5 pounds of banana A = $ 2.25
Hence , the total amount is $ 2.25
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show me how to solve this -4x less than 12
Answer:
Factor 4 out of 12+4x 4(3+x)
Step-by-step explanation:
What is halfway between 0.2 and 0.3
Help plsss
Answer:
0.25
Step-by-step explanation:
You are finding the average of the two numbers by finding the halfway point. So you do 0.2+0.3 = 0.5 and then you divide by 2. 0.5/2 = 0.25
Hope this helped :)
The variable whose effect on the response variable is to be assessed by the experimenter is called
The factor is the variable that the experimenter will use to judge its impact on the response variable.
A dependent variable is one that is altered as a result of the modification of an independent variable. The outcome you're trying to measure "depends" on your independent variable. Response variables in statistics are another name for dependent variables (they respond to a change in another variable).
The terms are the numbers or the variables added together, factors are the numbers or the variables that are multiplied together and the coefficient is the number multiplied to the variable.The coefficient of a variable term is that word's numerical factor.
A factor is a type of statistical data that is used to hold categorical variables. Categorical variables can be categorised into only a few groups. Continuous variables, on the other hand, are infinitely variable.The variable being measured or tested in an experiment is known as the dependent variable.
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Can someone help me por flavor
The interest you can get from this account after two years is $382.49.
What is Compound Interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
Given:
P= $3000
R= 6%
T= 2 years
A = P[tex]e^{rt[/tex]
A = 3,000.00[tex](2.71828)^{(0.06)(2)[/tex]
A = $3,382.49
and, A = P + I
I (interest) = $3,382.49- $3000
I = $382.49.
Hence, the interest is $382.49.
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uppose a person sitting in the front, middle portion of the class is randomly selected to answer a question. find the probability that the person selected is female.
There is a 50% chance that the person selected is female.
Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.
The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5
Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.
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Complete question:
What is the gender ratio of the people in the class?
Between which two numbers will you find in 5.634x10 to the 2 power
The number 5.634x10 to the 2nd power can be expressed as 563.4. The numbers between which 563.4 falls are 560 and 567.
lake erie line graph text-based description: line graph showing declining snowfall totals with distance from the shore of lake erie. the gradual decline from around 425 cm to 375 cm between 0 and 30 km increases with total snowfall at 250 cm by 50 km. there is little decline in the following 10 km but it does drop again by around 50 cm over the next 10 km. the remaining decline is relatively consistent out to 100km, with snowfall there at 150 cm. what is the spatial scale at which the data was collected?
The spatial scale at which the data was collected is the distance from the shore of Lake Erie.
We can see that the data shows a gradual decline in snowfall totals with increasing distance from the shore of Lake Erie. The decline starts at around 425 cm at 0 km and decreases to 375 cm by 30 km. It then decreases more quickly over the next 20 km before declining relatively consistently out to 100 km, where the snowfall is 150 cm.
The graph shows the declining snowfall totals with increasing distance from the shore of Lake Erie, starting from 0 km and ending at 100 km. The data points are measured in increments of 10 km, with the total snowfall measured in cm.
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slope of the line that contains the following points: (17, -12) and (12, 8)
si por qué si y si por qué obvio si
question 1(multiple choice worth 2 points) (systems of linear equations lc) how many solutions does the system of linear equations represented in the graph have? coordinate plane with one line that passes through the points 0 comma 2 and 2 comma 1. no solution infinitely many solutions one solution at (2, 0) one solution at (0, 2)
Option (a) is correct. There'll be No Solution to the given system of linear equations.
According to the solutions of linear equations, we know the following things,
1. If two intersecting lines are at one common point, the system has only one solution.
2. If two coincidental lines mean both equations give the same line, that means the system has infinitely many solutions.
3. If the lines are parallel to each other, the system will have no solution.
We can see lines are parallel but we can also find whether the given lines are parallel or not by simply finding their slope m.
For Line 1, we have the following data
[tex]$\left(\mathrm{x}_1, \mathrm{y}_1\right)=(0,2)$[/tex]
[tex]$\left(\mathrm{x}_2, \mathrm{y}_2\right)=(3,1)$[/tex]
For slope m of the line 1,
slope m₁ = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{1-2}{3-0}=-\frac{1}{3}[/tex]
For Line 2, we have the following data
[tex]$\left(\mathrm{x}_1, \mathrm{y}_1\right)=(0,-1)$[/tex]
[tex]- $\left(x_2, y_2\right)=(3,-2)$[/tex]
For slope m of line 2,
slope m₂[tex]$=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-(-1)}{3-0-x_1}=-\frac{1}{3}$[/tex]
As the slope of both lines is equal, so lines are parallel to each other, and hence, if lines are parallel so there'll be no solution to the system.
Hence, option (a) is correct.
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Your question was incomplete, the most probably question you asked was:
How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points (0, 2) and (3, 1) and another line that passes through the points (0, -1) and (3, -2).
(a) No solution
(b) One solution at (−1, 0)
(c) One solution at (0, −1)
(d) Infinitely many solutions
Write the linear equation for the graph of line q.
y = x+
in an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn. if a study included 1200 acres, about how many would be expected to yield more than 190 bushels of corn per acre? homework help: 4vb. calculating number from a sample that meet criteria based on normal probabilities links to an external site.(1:32) group of answer choices 419 acres 282 acres 503 acres 581 acres
The correct response is 503 acres. Around 503 acres with more than 190 bushels of maize per acre is what we would anticipate.
Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is a probability distribution that is symmetric around the mean.
Let X serve as the random variable representing the yield of corn. The issue reveals that the formula for the random variable X's distribution is as follows:
[tex]X[/tex]≅Nμ=185.2, σ=23.5
A sample of n=1200 acres is taken by a quality control inspector. The sample size is reflected by that.
The likelihood that the random variable X contains more than 190 bushels of maize per acre is also something we wish to calculate. Consequently, we seek to discover:
[tex]P(X > 190)[/tex]
Additionally, we may use the z score this calculation produces:
z=X-μ/σ
If we substitute the provided values, we get:
[tex]z=190-185.2/0.2042[/tex]
We desire the possibility that:
[tex]P(z > 0.2042)=1-P(z < 0.2042)=1-0.5809=0.4191[/tex]
And to determine how many, it would be necessary to assume that each acre would produce more than 190 bushels of maize. The faction obtained can be multiplied by the sample size.
[tex]r=1200*0.4191=502.92=503[/tex]acres
A 503acre crop with more than 190 bushels of maize per acre is what we would anticipate.
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a vertical asymptote is a vertical line that the graph of the function approaches as x tends to positive or negative infinity. b. a vertical asymptote is a vertical line x
A vertical asymptote basically means of a graph on a vertical line x = a where the graph tends toward positive or negative infinity as the inputs approach a.
In a graph a vertical asymptote is a vertical line x = a where the graph tends toward positive or negative infinity as the inputs approach a. And similarly the horizontal asymptote in a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.
At x = a in a graph where a is a zero for a factor in the denominator the removable discontinuity occur that is common with a factor in the numerator.
Factor the numerator and denominator.
It is set it equal to zero and solve if any factors are common to both the numerator and denominator.
This is removable discontinuity type location.
In mathematics a graph is defined as a diagrametical or a pictorial representation that helps to represents data or values in an organized manner. The points that are shown on the graph are use to mark of represent the various value or relation between two value .
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#6. There were 750 green sea turtles on Treasure
Island in the year 2000. The green sea turtle
population decreased by a factor of 1/5 each year
after 2000. What was the green sea turtle
population on the island in 2012?
The population of the green sea turtle on the island in 2012 is 68 turtle
What is population ?A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristics.
To find the exponential decrease in a population which obtain it by using the formula;
P(t) = P(o) e^-kt
P(o) = 750
k = 0.2
t = 12
P (t) = 750 e ^ -0.2 ×12
p(t) = 750 e^ -2.4
p(t) = 750 × 0.09
p(t) = 68( approximately) turtle
Therefore in 2021 the population of turtle on the island is 68
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What is the 75th term of the arithmetic sequence?
-1113, -1094, -1075, -1056, -1037, ...
Enter your answer in the box.
Answer:
1183
Step-by-step explanation:
75th term of Arithmetic sequence is 1183 Given: -1, 15, 31,... is Arithmetic series To find: The 75th term of the arithmetic sequence -1, 15, 31
the measures of the angles in a triangle are in a ratio of 2:2:4. find the exterior angle that is adjacent to the largest triangle.
The exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.
The exterior angle adjacent to the largest interior angle in a triangle is equal to the sum of the other two interior angles.
Let's call the measures of the angles in the triangle x, x, and 2x. Then,
x + x + 2x = 180 degrees,
so 4x = 180 degrees, and
x = 45 degrees.
The largest interior angle is 2x, or 90 degrees. The exterior angle that is adjacent to this angle is equal to 180 degrees minus the interior angle, which is 180 - 90 = 90 degrees.
So the exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.
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