Determine whether the geometric series is convergent or divergent. Σ[infinity] n=1 (−6)^n-1/7 a. convergent b. divergent. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Determine whether the geometric series is convergent or divergent. Σ[infinity] n=0 1/(√17)" n convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 2 In(17) X Determine whether the series is convergent or divergent. [infinity] 1 +67 7n n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Determine whether the geometric series is convergent or divergent. 00 en n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
Answers
1. Σ[\(\infty\)] n=1 (−\(6)^n\)-1/7: This is a geometric series with a common ratio of -6/7. Since the absolute value of the common ratio is less than 1, the series converges. The sum of the series can be found using the formula for the sum of a geometric series:
S = a/(1-r) = 1/(7/6) = 6/7.
Therefore, the series is convergent and its sum is 6/7.
2. Σ[\(\infty\)] n=0 1/(√17)" n: This is also a geometric series with a common ratio of 1/√17. Since the absolute value of the common ratio is less than 1, the series converges. The sum of the series can be found using the formula for the sum of a geometric series:
S = a/(1-r) = 1/(1-1/√17) = √17.
Therefore, the series is convergent and its sum is √17.
3. Σ[\(\infty\)] n=1 (1 + 67/7n): The terms of this series approach 1 as n goes to infinity. Therefore, the series diverges by the Divergence Test.
Therefore, the series diverges.
4. Σ[\(\infty\)] n=1 \(e^n\): This is a geometric series with a common ratio of e. Since the absolute value of the common ratio is greater than 1, the series diverges.
Therefore, the series diverges.
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Related Questions
HELP!!! Which is a solution to the equation?
(x −2)(x + 5) = 18
x = −10
x = −7
x = −4
x = −2
Mark this and return
Answers
Answer:x=-7
Step-by-step explanation:
Step-by-step explanation:
I'm not sure it's probably x=-2
write cos 16 degrees in terms of sine
pleaseee
Answers
In terms of the sine, we can say that cos 16 can be written as:
Option B: Sine 74°
How to use trigonometric identities?We know that all the trigonometric identities are based on the six trigonometric ratios. They are identified as sine, cosine, tangent, cosecant, secant, and cotangent
For complementary angles; or acute angles, we know that:
Sin x = Cos y,
This means that:
x + y = 90
Thus, if x = 16 then it means that:
y = 90 - 16 = 74
Hence;
Cos 16 = (sine 90-6)
Cos 16 = Sine 74
We conclude that in terms of sine; cos 16 is equal to Sine 74°
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Write an equation in slope-intercept form for the line passing through the pair of points.
Answers
y2-y1/x2-x1
in this case it would be
2-(-3)/-1-(-6)
It would give you 5/5 which would reduce to 1 meaning your slope equals 1
with your slope now you should use the point slope formula y-y1=m(x-x1)
i’m going to use the point (-1,2) so the equation would be
y-2=1(x-(-1))
simplifying that you would get
y-2=1x+1
then put it in y=mx+b form and get
y=x+3
PLEASE HELP ASAP ITS TIMED!!! What's the distance between A and B?
Answers
Answer:
6
Step-by-step explanation:
I counted from A to B, there were 6 steps
Answer:
6 units
Step-by-step explanation:
if u count how many numbers a is from b you will get 6
What is the right answer?
Answers
Answer:
The answer would be: B- X
Step-by-step explanation:
It would be X because you just count how many feeders and put it over the amount of birds.
Because the numbers match
Which is the better deal?
8 t-shirts for $38
14 t-shirts for $70
HELP! WILL GIVE BRAINLIST IF CORRECT, AND GOOD ANSWER!
Answers
Answer:
8 t-shirts for $38
Step-by-step explanation:
To Find which is the better deal we have to divide.
The Cost divide by the Number of T-shirts.
Thus, 38/8 and 70/14
38/8 = 4.75
70/14 =5.00
Hence, We can conclude that 8 t-shirts for $38 is the better deal.
[RevyBreeze]
\([Hello,BrainlyUser]\)
Answer:
8 t-shirts for $38
Step-by-step explanation:
\(\frac{Cost}{T-Shirt}\)
38/8 = 4.75
70/14 = 5
4.75 < 5
Hence, Answer = 8 t-shirts for $38
[CloudBreeze]
Alex has $600 in her checking account. She wants to spend a part of this money on a computer.
She wants to have at least $250 left in her checking account after buying the computer. Write an
inequality that can be used to find t, the amount of money in dollars that Alex can spend on the
computer, and solve fort.
Answers
Amount of computer can be 350 or more than 350.
What do you mean by inequality?
Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilised to compare the numbers, whether it is less than or higher than.
Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions.
It is given that Alex has $600 in her checking account and She wants to have at least $250 left in her checking account after buying the computer.
Let the amount of computer be t
According to the question , inequality become:
600 - t ≥ 250
600 - 250 ≥ t
350 ≥ t
Therefore, amount of computer can be 350 or more than 350.
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if we include the end zones, a football field is 360 feet by 160 feet. What is the area of a football field in square feet? (Reminder: a football field is a rectangle - so to find the area you find length x width).
Answers
Answer:
A = 57,600 feet
Step-by-step explanation:
Area = length x width
A = 360 x 160
Solve the system of equations by the substitution method
x+10y=27
3x +6y=9
Answers
Answer:
x= -3 ; y=3
Step-by-step explanation:
x = 27 - 10y
3(27-10y) + 6y = 9
81-30y + 6y = 9
-24y = 9-81
-24y = -72
-24/-24 y = -72/-24
y= 3
x= 27- 10(3)
x = 27 - 30
x = -3
Sam has a goal of walking (3)1/2 miles by the end of the day. He walks (1)1/8 miles before lunch and 3/4 miles after resting. What is the remaining distance, in miles, that same needs to walk to reach his goal?
Answers
Since the remaining distance is negative, it implies that Sam has already exceeded his goal distance. Therefore, he doesn't need to walk any further to reach his goal.
To find the remaining distance that Sam needs to walk to reach his goal of (3)1/2 miles, we need to subtract the distance he has already walked from his goal distance.
Sam walks (1)1/8 miles before lunch and 3/4 miles after resting. To calculate the total distance he has walked, we add these two distances:
Total distance walked = (1)1/8 + 3/4
To add these fractions, we need to find a common denominator, which is 8 in this case
Total distance walked = (9/8) + (6/8)
= 15/8
= 1 (7/8)
Now, we subtract the total distance walked from Sam's goal distance:
Remaining distance = (3)1/2 - 1 (7/8)
To subtract fractions, we also need a common denominator. The common denominator is 2 in this case:
Remaining distance = (6/2 + 1/2) - (15/8)
= (12/8 + 1/8) - (15/8)
= 13/8 - 15/8
= -2/8
= -1/4
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Find the quotient. 3 WN 4. 3 25 5 2 4 3- + 3 3 5 . (Type a whole number, fraction, or mixed number.)
Answers
Answer:
The quotient of the given expression is;
\(3\frac{2}{3}\div3\frac{4}{5}=\frac{55}{57}\)Explanation:
Given the expression;
\(3\frac{2}{3}\div3\frac{4}{5}\)To solve, let us convert the mixed fraction to improper fraction.
\(\begin{gathered} 3\frac{2}{3}\div3\frac{4}{5} \\ \frac{3(3)+2}{3}\div\frac{5(3)+4}{5} \\ \frac{11}{3}\div\frac{19}{5} \end{gathered}\)Then we can now divide the fractions to get the quotient;
\(\begin{gathered} \frac{11}{3}\div\frac{19}{5} \\ \frac{11}{3}\times\frac{5}{19} \\ \frac{11\times5}{3\times19} \\ =\frac{55}{57} \end{gathered}\)Therefore, the quotient of the given expression is;
\(3\frac{2}{3}\div3\frac{4}{5}=\frac{55}{57}\)Jax wants to buy a car with an interest rate of 5.5% the car costs a total of 35000 and he wants to finance it for 5 years he wants his monthly payment under 500 a month can he buy this car?
Answers
Determining the monthly payment as $668.54, it seems that Jax cannot buy this car since he wants his monthly payment to be under $500.
How is the monthly payment determined?The monthly payment is the periodic payment that must be made by Jax to settle the credit or car loan, including the finance charges.
The monthly payment can be determined using an online finance calculator.
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 5.5%
PV (Present Value) = $35,000
FV (Future Value) = $0
Results:
Monthly Payment (PMT) = $-668.54
The sum of all periodic payments = $-40,112.44
Total Interest = $5,112.44
Thus, Jax must pay $668.54 monthly to finance the car and cannot based on his budget.
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in a concert hall, there are 16 chairs in the first row, and each row has 4 more chairs than the previous row. there are 14 rows altogether. how many chairs are there in the concert hall?
Answers
6) How long will it take for an investment to double in value if it earns 4.75% compoundedcontinuously?A) 14.593 yearsB) 15.711 years C) 23.129 years D) 7.296 years
Answers
A quantity that is compounded continuously follows the next equation:
\(A=Pe^{rt}\)Where:
\(\begin{gathered} A=\text{ amount in time ''t''} \\ P=\text{ initial amount} \\ r=\text{ rate of interest in decimal form} \\ t=\text{ time} \end{gathered}\)Now, the interest rate in decimal notation is determined by dividing the percentage by 100:
\(r=\frac{4.75}{100}=0.0475\)Now, we are asked to determine the time required for the quantity to double. Therefore, we need to determine "t" when:
\(A=2P\)Substituting in the formula we get:
\(2P=Pe^{rt}\)Now, we can cancel out the "P":
\(2=e^{rt}\)Now, we solve for "t". First, we take the natural logarithm to both sides:
\(ln2=lne^{rt}\)Now, we use the following property of logarithms:
\(lnx{}^y=ylnx\)Applying the property we get:
\(ln2=rtlne\)We have that:
\(lne=1\)Therefore:
\(ln2=rt\)Now, we divide both sides by "r":
\(\frac{ln2}{r}=t\)Now, we substitute the value of "r":
\(\frac{ln2}{0.0475}=t\)Solving the operations:
\(14.593=t\)Therefore, the right option is A.
Slope help please it is supposed to be easy
Answers
Look at the coordinates, y=4 in that coodinate meaning it is the y=intercept.
The slope u already know,
The formula for equation --> Y=mx+b
Answer: Y=3/4+4
Lines AB and CD intersect at E.
1. What is the measure of angle AED?
2. What is the measure of angle DEB?
(Just type the number of degrees in your answer.)
Answers
Answer:
1. 130
2. 50
Step-by-step explanation:
AEB = 180 because it's supplementary and AEC is vertical to DEB making them congruent. 180-50=130
The measure of angle AED = 130 degrees and the measure of angle DEB = 50 degrees
We have lines AB and CD intersect at E.
We have to find out -
measure of angle AED?measure of angle DEB?Can two straight lines intersect at more than on point ?No, straight lines can never intersect at more than one point.
According to the question -
AB and DC intersect each other.
Now -
∠DEB = ∠AEC (Vertically opposite angles are equal)
Let ∠AED = x
Then -
∠AED = ∠CEB = x (Vertically opposite angles are equal)
Now -
∠AED + ∠DEB + ∠BEC + ∠AEC = 360
x + 50 + x + 50 = 360
2x + 100 = 360
2x = 260
x = 130
Hence - the measure of angle AED = 130 degrees and the measure of angle DEB = 50 degrees.
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What advice would you give to students B and C to help them avoid factoring this
type of problem incorrectly in the future?
Correct solved problem
Student A factored
this expression correctly:
²-10x-24
(x-12)(x+2)
Factor: ²-10-24
Incorrect solved problem:
Sum of the integers does not
equal the middle term
Student B did not factor
this expression correctly.
²-10x-24
(x-4)(x+6)
Incorrect solved problem:
Sum of the integers does not
equal the middle term
Student C did not factor
this expression correctly:
-10-24
(r+12)(x-2)
**Day 4 will open once you post to the discussion board
Answers
Therefore , the solution of the given problem of expressions comes out to be students can develop their factoring abilities and avoid mistakes with practise and instruction.
What exactly is an expression?Estimates that combine joining, disabling, and rather than randomly divide should be produced when variables are shifting. If they got together, they could solve a mental puzzle, provide some data, and instead software. A declaration of truth contains formulas, components, and mathematical processes like combination, subtraction, omission, and grouping. Both phrases and words can be assessed and analysed.
Here,
are some pointers to assist students B and C prevent incorrect factoring in the future:
Regularly practise factoring: Since factoring is a talent that must be honed, students should make sure to factor problems frequently. They will be better able to understand the procedure and spot trends in the expressions they are factoring as a result of this.
Verify the indications again because they are prone to error when factoring. Students should double-check their distribution of the signs and make sure no negative indicators are being left out.
Students should double-check their work by multiplying the factors back together after factoring an equation. They'll be able to correct any errors they may have made thanks to this.
If students need assistance with factoring, they should ask an instructor or tutor for assistance. Although factoring can be a challenging ability to master, students can develop their factoring abilities and avoid mistakes with practise and instruction.
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The Green Goober, a wildly unpopular súperhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume. Write an equation that relates y, the amount of yellow paint in liters, and 6, the amount of blue paint in liters, needed to make the Green Goober's special green paint.
Answers
An equation that relates y, the amount of yellow paint in liters, and the amount of blue paint in liters, needed to make the Green Goober's special green paint is 3y + 5b = 8x.
What is an equation?An equation is a mathematical statement that shows that two or more mathematical or algebraic expressions are equal or equivalent.
Mathematical expressions combine variables with constants, numbers, or values with the mathematical operands, addition, subtraction, multiplication, and division.
The yellow paint mixed with the blue paint = 3 liters
The blue paint mixed with the yellow paint = 5 liters
The quantity of the special green paint = 8 liters
Let the yellow paints = 3y
Let the blue paints = 5b
Let the special green paints = 8x
Equation:3y + 5b = 8x
Thus, the equation that represents the situation is 3y + 5b = 8x.
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A checking account has a balance of $350. A customer makes two withdrawals, one $50 more than the other. Then he makes a deposit of $75.
Answers
The new balance of the checking account after the two withdrawals and the deposit is $375 - 2x. Note that we do not know the value of x, so we cannot determine the exact new balance without additional information.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
After the two withdrawals and the deposit, the new balance of the checking account can be calculated as follows:
First withdrawal: Let x be the amount of the first withdrawal. Then the second withdrawal is x + $50.
Balance after first withdrawal: $350 - x
Balance after second withdrawal: ($350 - x) - (x + $50) = $350 - 2x - $50 = $300 - 2x
Deposit: After the deposit of $75, the new balance is ($300 - 2x) + $75 = $375 - 2x.
Therefore, the new balance of the checking account after the two withdrawals and the deposit is $375 - 2x. Note that we do not know the value of x, so we cannot determine the exact new balance without additional information.
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Calculate the crude death rate (per 100,000 ) from the following data: Number of deaths in the US during 1990=2,148,463 Population of the US as of July 1,1990=248,709,873 What was the crude death rate in 1990? 831.5 per 100,000 821.5 per 100,000 843.8 per 100,000 863.8 per 100,000 Calculate the incidence rate (per 100,000 population) of primary and secondary syphilis (combined) in 2013 from the following data: Number of reported cases in 2013: 17,357 Estimated pop. of the US as of July 1, 2013: 316,128,839 5.1 per 100,000 7.5 per 100,000 6.5 per 100,000 5.5 per 100,000 In 2010 , the total number of infant (<1 year old) deaths in the U.S. was 22,000 . In the U.S. in 2010 there were 2,356,000 live births. Calculate the infant mortality rate for the U.S. in 2010 per 1,000 live births. 6.9.per 1,000 live births 9.3 per 1,000 live births 3.4 per 1,000 live births 7.5 per 1,000 live births Calculate the crude birth rate (per 1,000 population) from the following data: Number of live births during 1991=4,111,000 Population of the US as of July 1,1991=252,688,00 Calculate the crude birth rate in the year 1991. 13.4 per 1,000 16.3 per 1,000 15.3 per 1,000 12.4 per 1,000
Answers
Crude death rate in 1990: 863.8 per 100,000
Incidence rate of primary and secondary syphilis (combined) in 2013: 5.5 per 100,000
Infant mortality rate in the U.S. in 2010: 9.3 per 1,000 live births
Crude birth rate in 1991: 16.3 per 1,000
Crude Death Rate in 1990:
Number of deaths in the US during 1990 = 2,148,463
Population of the US as of July 1, 1990 = 248,709,873
Crude Death Rate = (Number of deaths / Population) * 100,000
Crude Death Rate = (2,148,463 / 248,709,873) * 100,000 ≈ 863.8 per 100,000
Therefore, the crude death rate in 1990 was approximately 863.8 per 100,000.
Incidence Rate of primary and secondary syphilis (combined) in 2013:
Number of reported cases in 2013 = 17,357
Estimated population of the US as of July 1, 2013 = 316,128,839
Incidence Rate = (Number of reported cases / Population) * 100,000 Incidence Rate = (17,357 / 316,128,839) * 100,000 ≈ 5.5 per 100,000
Therefore, the incidence rate of primary and secondary syphilis (combined) in 2013 was approximately 5.5 per 100,000.
Infant Mortality Rate in the U.S. in 2010:
Number of infant deaths (<1 year old) in the U.S. in 2010 = 22,000
Number of live births in the U.S. in 2010 = 2,356,000
Infant Mortality Rate = (Number of infant deaths / Number of live births) * 1,000
Infant Mortality Rate = (22,000 / 2,356,000) * 1,000 ≈ 9.3 per 1,000 live births
Therefore, the infant mortality rate in the U.S. in 2010 was approximately 9.3 per 1,000 live births.
Crude Birth Rate in 1991:
Number of live births during 1991 = 4,111,000
Population of the US as of July 1, 1991 = 252,688,000 Crude Birth Rate = (Number of live births / Population) * 1,000
Crude Birth Rate = (4,111,000 / 252,688,000) * 1,000 ≈ 16.3 per 1,000 Therefore, the crude birth rate in the year 1991 was approximately 16.3 per 1,000 population.
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Jesse bought a car for $25,000. The car depreciates approximately 10% of its value each year. What will the car be worth in 5 years?
Answers
Answer:
$12,500
Step-by-step explanation:
I got this answer by first taking the purchase price of the car and multiplying it by .10 to see what ten percent of the price was and I got $2,500. Then I took and multiplied 2,500 by 5 years and go 12,500. Then I subtracted 12,500 from the original purchase price to get $12,500. Meaning that the value of the care has decreased by half of the purchase price.
HOPE THIS HELPS!
According to the synthetic division below, which of the following statements are true? Check all that apply.
A. (x+2) is a factor of 5x2-16x + 12.
B. (x-2) is a factor of 5x2-16x + 12.
C. (5x2 - 16x+12) + (x - 2) = (5x-6)
D. (5x2-16x +12) + (x + 2) = (5x-6)
E. The number -2 is a root of F(x) = 5x2 - 16x + 12.
F. The number 2 is a root of F(X) = 5x2 - 16x+ 12.
Answers
Answer:
Correct answer just took the quiz
Step-by-step explanation:
The correct option for the given statement is that (x-2) is a factor of \(5x^{2} -16x+12\).
What is a factor?It is a number by which the number whose it is a factor can be divided.
How to divide an equation?To check factor of an equation we need to divide it with so to check (x-2) a factor of \(5x^{2} -16x+12\) we need to divide the equation by x-2
=( \(5x^{2} -16x+12\))/x-2
=5x-6
So it is a factor of the given equation.
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Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply.
Answers
Answer:
10%
-0.1
1/4
Step-by-step explanation:
Complete question
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth
step-by-step explanation
On the number line, numbers increase from left to right.
The blank is between -0.2 and 1/2.
Only numbers greater than -0.2 and less than 1/2 can fill the blank.
Range = -0.2<x<1/2
From the values given,
1) 10% = 10/100 = 1/10 = 0.1
-0.2<0.1<1/2
2) -0.2<1
But, 1>1/2
3) -0.2<-0.1<1/2
4) -0.2>-1
5) -0.2<1/4<1/2
Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2
Answer:
A
C
E
THE ANSWER BOIIIIIIIIIIIIIIIIIIIIIII!
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalities?
y>−2
x+y≤4
(0,−4)
(1,5)
(1, 3)
(−2, −3)
Answers
Factorise
\( a {2} - 7a + 12\)
Answers
In this activity, you will apply mathematics to problems arising in everyday life and communicate mathematical ideasusing multiple representations.Part AMelissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of thegarden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden's width to exceed thewidth of the tomato patch by 5 feet.Let x represent the length, in feet, of the square tomato patch.Question 1QuestionWrite expressions to represent the length and width of Melissa's vegetable garden in terms of x.Enter the correct answer in the box.
Answers
The vegetable garden is rectangular.
In it are tomato square patches
Given:
x = length of the tomato square patch
Since it is a square patch, the width of the tomato patch is also the length.
Hence, x = width of the tomato square patch
Also,
A = rectangular vegetable garden
B = tomato square patch
l = length of the vegetable garden
w = width of the vegetable garden
The expressions that represent the length and width of Melissa's vegetable garden is shown mathematically below;
\(\begin{gathered} \text{She wants the length of the garden to exc}eed\text{ thre}e\text{ times the length of the tomato patch by 2 f}eet. \\ l-3x=2 \\ l=3x+2 \end{gathered}\)\(\begin{gathered} \text{Also, she wants the garden's width to exc}eed\text{ the width of the tomato patch by 5 f}eet \\ \text{The length and width of the tomato patch are the same since it is a square patch. Hence, the width of the tomato patch is x} \\ w-x=5 \\ w=x+5 \end{gathered}\)Therefore, the length and width of Melissa's vegetable garden in terms of x is given by;
\(\begin{gathered} l=3x+2 \\ w=x+5 \end{gathered}\)
PLS HELP ME ASAP NOW PLS ILL GIVE EXTRA POINTS PLE HELP ME
Answers
Answer:
your not showing the whole thing
Step-by-step explanation:
After carrying out the operations below, what is the correct answer using the correct number of significant figures in the result? 13.7+0.027+8.221 21.921 22 21.9 21.92
Answers
The correct answer using the correct number of significant figures is 21.9.
To determine the correct answer with the appropriate number of significant figures, we need to consider the rules for significant figures.cThe result should be rounded to the fewest number of decimal places in any of the supplied integers whether adding or subtracting numbers.
In this case, the numbers being added have varying decimal places. 13.7 has one decimal place, 0.027 has three decimal places, and 8.221 has three decimal places.
To add these numbers, we align the decimal points and sum the values: 13.7 + 0.027 + 8.221 ------- 21.948
To follow the rule for significant figures, the least number of decimal places is one (from 13.7).
Therefore, the answer should be rounded to one decimal place.
Hence, the correct answer using the correct number of significant figures is 21.9.
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someone PLSSS HELP fast !! pls give rightt answer :( PLS
Answers
Answer:
the first one, 64(-1/2)^(n-1)
Step-by-step explanation:
To go from one number to the next, we first start with 64, so everything is multiplied by that. Next, 64 turns into -32, and (-32)/64 = -1/2. Similarly, 16/-32 is -1/2, and -8/16 is -1/2 as well. Therefore, we have to multiply each number by -1/2 a number of times. For example, to get from 64 to 16, we have to multiply 64 by negative one half 2 times. The only option with -1/2 in the multiplier is the first one, making that our answer
Year-2022...
ntific
Question 9
(3x + 11)°
H
42. Find the value of x. Show your work on your worksheet for full credit.
A
answered
tion
< >
E
(9x+6)°
B
Round to one decimal place when necessary.
0/1 pt 22
Answers
For given triangle, the value of x =5/6.
What is a triangle's definition?
A triangle is a geometric shape that consists of three straight line segments that connect to form a closed shape. It is a polygon with three sides, three vertices (corners), and three angles. Triangles can have different shapes and sizes depending on the length of their sides and the measure of their angles.
The sum of the interior angles of a triangle is always 180 degrees. This means that the three angles of a triangle add up to 180 degrees. The size and shape of the angles can vary, however, depending on the lengths of the sides.
Now,
For given triangle
as ∠CAE=∠BAE
then,
3x+11=9x+6
9x-3x=11-6
6x=5
x=5/6
Hence,
the value of x =5/6.
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