41 Points!! Multiple choice algebra question. Use the value of the discriminant to determine the number and type of roots for the equation x^2-3x+7=0. Photo attached. Thank you!
Answers
Since the discriminant is negative, the equation has two complex conjugate roots is -19.
How to find complex conjugate roots?To find complex conjugate roots of a polynomial, you can follow these steps:
Identify the complex roots of the polynomial: Use the quadratic formula or any other method to find the roots of the polynomial. If the roots are complex, they will be of the form a + bi, where a and b are real numbers and i is the imaginary unit.
Check for conjugate pairs: If a complex root is of the form a + bi, then its complex conjugate will be a - bi. Check if the polynomial has any other root of the form a - bi. If so, then the two roots are complex conjugates.
For example, suppose you have a polynomial with the equation:
\(x^3 - 4x^2 + 7x - 10 = 0\)
Using a calculator or other methods, you can find that one of the roots of this polynomial is approximately 1.72 + 0.98i. To check if this is part of a complex conjugate pair, you can check if the polynomial has another root of the form a - bi.
One way to do this is to use polynomial long division to divide the original polynomial by the quadratic factor (x - (1.72 + 0.98i)) (x - (1.72 - 0.98i)).
To determine the number and type of roots of the equation x^2 - 3x + 7 = 0, we need to use the discriminant, which is given by the formula b^2 - 4ac.
In this case, a = 1, b = -3, and c = 7. Substituting these values into the formula, we get:
\(b^2 - 4ac = (-3)^2 - 4(1)(7) = 9 - 28 = -19\)
Since the discriminant is negative, the equation has two complex conjugate roots.
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Related Questions
what numbers add up to 6 but multiply to 77
Answers
Answer:
one
Step-by-step explanation:
one is the only number that evenly adds up to six and multplys to 77
The area of a triangle is 40 sq. inches. If the base of the triangle is 10 inches,
what is its height?
Answers
Answer:
8 inches
Step-by-step explanation:
Area of a triangle = 1/2 (b) (h)
so let's plug them in.
1/2( (10) (h)
now let's plug in 8
1/2 (10) (8)
10 times 8 equals 80
now
dividing it by 1/2 equals 40
therefore
it's the height is 8 inches
Ruby and her children went into a bakery and she bought $18 worth of donuts and cookies. Each donut costs $1 and each cookie costs $1.50. She bought a total of 15 donuts and cookies altogether. Graphically solve a system of equations in order to determine the number of donuts, x, and the number of cookies, y, that Ruby bought.
on a graph
Answers
Answer:
Y=6
X=9
Step-by-step explanation:
Donuts=1
Cookies=1.50
x+y=15
X=15-y
X+1.50Y= 18
15-Y+1.50Y=18
0.5Y=3
Y=6
X=9
Answer this please?
Answers
Answer:
2
Step-by-step explanation:
you just divide 8 by 4 love:)
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
Answers
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
A population of 75 foxes in a wildlife preserve triples in size every 15 years. The function y=75x3^x, where X is the number of 15-year periods, models the population growth. How many foxes will there be after 30 years?
Will mark brainliest!
Answers
The fox population after 30 years is 675
How to determine the number of foxes from the function?From the question, we have the following parameters that can be used in our computation:
Initial population =75
Rate of growth = Triples every 15 years
Year = 30 years
The equation of the function can be represented as
y = 75 * 3^x
So, we have
x = 30/15
Evaluate
x = 2
Substitute the known values in the above equation, so, we have the following representation
y = 75 * 3^2
Evaluate
y = 675
Hence, the population is 675
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2. How do you know if a number is
divisible by 9 without dividing?
Answers
Answer:
Add all the digits of the number, then check if that sum is divisible by 9. If yes, we know the number is divisible by 9.
man helppppp oooooooooo
Answers
your answer is right since your going to the right +3 and decreasing -9 units
One share of a stock costs $80 one day and $75 the next. What is the percent decrease? Enter the number only. Do not enter the % sign.
I need some help pleaseeeee
Guide me through this progress.. please!! please!! PLEASE!!!!!!!!!!!!!!!!!!
Answers
6.25
-
the formula for finding percentage decrease would be:
[(start value - final value)/start value] · 100.
in this case, it would be 5/80 · 100.
5 ÷ 80= 0.0625 · 100= 6.25%.
sorry if this doesnt make sense, but hopefully you understand it !! (i also attacted scrap paper just in case)
(he was flunking school to get out of school plus he worked at kfc and loved his job, during the 11th grade btw)
summerize this:
I didn’t know what I was doing or what I believed in, except the United States of America and the Cleveland Browns. Sometimes, to break my addiction to the tube[1], I spent the night in a derelict shed with mushrooms growing from the rafter boards. Back-yard rehab. I used to read in there, or, anyway, swing my eyes over the pages of library books: “Out of Africa” (the girl I was in love with loved the move); Donal Trump’s autobiography; Kierkegaard; “Leaves of Grass”; a book about how to make a robot from an eight-track player. As long as nobody had assigned the book, I could stick with it. I didn’t know what I was reading. I didn’t really know how to read. Reading messed with my brain in an unaccountable way. It made me happy; or something. I copied out the first paragraph of Annie Dillard’s “An American Childhood” on my bedroom’s dormer wall. The book was a present from an ace teacher, a literary evangelist in classy shoes, who also flunked me, of course, with good reason. Even to myself I was a lost cause.
Answers
The joint and marginal pdf's of X = amount of almonds and Y amount of cashews are F(x,y) = fx(x) =with fy(y) obtained by replacing x by y in fx(x). It is easily verified that Mu x = Mu y = A, and E(XY) = 2/ 5 Compute the correlation coefficient p for X and Y. P=
Answers
The value of -0.6675 for the correlation coefficient of X and Y indicates that there is a negative correlation between the two variables.
The correlation coefficient, denoted as p, is a measure of the linear relationship between two random variables X and Y. It is defined as the ratio of the covariance of X and Y to the product of their standard deviations:
p = cov(X,Y) / (stdDev(X) × stdDev(Y))
To compute the correlation coefficient, we need to first calculate the covariance and the standard deviations of X and Y.
Since the marginals pdfs of X and Y are the same, we know that the expected value (mean) of X is equal to the expected value of Y, which is denoted as Mu x = Mu y = A.
The expected value of XY is given as E(XY) = 2/5.
The covariance of X and Y is defined as E((X-Mu x )(Y-Mu y )), which simplifies to E(XY) - Mu x × Mu y
Substituting the given values, we have:
cov(X,Y) = E(XY) - Mu x × Mu y = 2/5 - A²
To calculate the standard deviation of X and Y, we need to calculate the variance first. The variance of X is defined as E(X²) - (Mu x )²,
which can be easily calculated by replacing x with y in fx(x) and applying the same formula.
The standard deviation is the square root of the variance, so we have:
stdDev(X) = √(variance(X)) = √(E(X²) - (Mu x )²)
stdDev(Y) = √(variance(Y)) = √(E(Y²) - (Mu y )²) = √(E(X²) - (Mu x )²)
Now we can substitute these values into the formula for p:
p = cov(X,Y) / (stdDev(X) × stdDev(Y)) = (2/5 - A²) / (√(E(X²) - (Mu x )²) × √(E(X²) - (Mu x )²)).
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Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 68 weekly reports showed a sample mean of 17.5 customer contacts per week. The sample standard deviation was 5.2.
Provide a 90% confidence interval for the population mean number of weekly customer contacts for the sales personnel. (Round your answers to two decimal places.)
contacts/week to contacts/week
Provide 95% confidence interval for the population mean number of weekly customer contacts for the sales personnel. (Round your answers to two decimal places.)
contacts/week to contacts/week
Answers
The 95% confidence interval for the population mean number of weekly customer contacts is 16.27 contacts/week to 18.73 contacts/week.
To calculate the confidence intervals, we'll use the following formula:
Confidence interval = sample mean ± (critical value × (sample standard deviation / √sample size))
First, let's find the critical values for 90% and 95% confidence intervals.
We use a z-score table for this.
The critical values are approximately 1.645 for 90% and 1.960 for 95% confidence intervals.
90% Confidence Interval:
1. Calculate the margin of error: 1.645 × (5.2 / √68) ≈ 1.03
2. Lower limit: 17.5 - 1.03 = 16.47
3. Upper limit: 17.5 + 1.03 = 18.53
The 90% confidence interval for the population mean number of weekly customer contacts is 16.47 contacts/week to 18.53 contacts/week.
95% Confidence Interval:
1. Calculate the margin of error: 1.960 × (5.2 / √68) ≈ 1.23
2. Lower limit: 17.5 - 1.23 = 16.27
3. Upper limit: 17.5 + 1.23 = 18.73
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The equation of the line is
Answers
Answer:
y = -x +3
Step-by-step explanation:
You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
For the given equations, we can put them in this form to find the desired parameters.
-3y = -9 +3x
y = -x +3 . . . . . . . . . . divide both sides by -3
We observe that the y-intercept is +3, which we will need for our answer.
The slope-intercept form of the second equation is ...
-2x -2y = -8
x + y = 4 . . . . . . . . . . divide by -2
y = -x +4 . . . . . . . . . . subtract x
We observe that the slope (coefficient of x) is -1, which we will need for our answer.
Desired equationWe want the equation of the line with slope -1 and y-intercept 3. It is ...
y = -x +3 . . . . . . . . . . same as the equation of the first line
__
Additional comment
The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)
HELP ME PLEASEE ILL GIVE OUT BRAINLIEST
Answers
Answer:
What question?
Step-by-step explanation:
Jayden wants to buy a sweater that costs 20 there is a coupon for 30% off if Jayden uses the coupon how much will the sweater cost?
Please help
Answers
Answer: $14.00
Steps: To find the percentage, Multiply original amount by the percentage (convert percent to decimal form).
So, 20 × .30 = 6
She gets $6.00 off the original price.
$20.00 - $6.00 = $14.00
Plz mark brainliest:)
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below. 1 2 4 5 6 7 P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03 a. What is the missing value in the table? b. Find the mean. c. Find the variance and standard deviation. d. Interpret your results. B. In a quality control analysis, the random variable X represents the number of defective products per each batch of 100 products produced Defects (x) Batches 2 87 3 5 95 113 64 13 a. Use the frequency distribution above to construct a probability distribution? b. Find the mean. c. Find the variance and standard deviation.
Answers
a. The missing value in the table 0.03
b. The mean is 4.18
c. The variance is 3.23 and standard deviation is 1.80
d. The larger the standard deviation, the greater the spread of the probability distribution.
A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.
a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.
b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:
E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)
E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18
So, the mean number of calls per hour to the call center in the last month is 4.18.
c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:
Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)
Var(X) = 3.23
The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:
=> SD(X) = √(Var(X)) = √(3.23) = 1.80
d. Interpretation:
The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.
The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.
This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).
Complete Question:
The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.
x 1 2 4 5 6 7
P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03
a. What is the missing value in the table?
b. Find the mean.
c. Find the variance and standard deviation.
d. Interpret your results.
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what's the answer for this equation
x^3 - 3x^2 + 3x - 1 > 3/2x(x - 1)
Answers
hello
the answer to the question is:
x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->
(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->
(1/2)x < - 1 ----> x < 2
Handrail should be mounted 34 inches minimum and 38 inches maximum above ramps. Which inequality represents the required height?
Answers
Answer:
\(34 \leq x \leq 38\)
Step-by-step explanation:
34 inches minimum
This means that x has to be at least 34, that is:
\(x \geq 34\)
38 inches maximum
This means that x can be at most 38, that is:
\(x \leq 38\)
Which inequality represents the required height?
The intersection of 34 minimum and 38 maximum is:
\(34 \leq x \leq 38\)
Construct an equation that has k = 9 as its solution. Use k on both sides of the equation.
Answers
Answer:
10k ÷ 10 + 1 = k + 1
Step-by-step explanation:
LHS
10k ÷ 10 + 1
10(9) ÷ 10 + 1
90 ÷ 10 + 1
10
RHS
k + 1
9 + 1
10
10k ÷ 10 + 1 = 10
What is the relationship between the 6s in 543,862 and 385,621
Answers
In the first number, the 6 is in the tens place. It represents 60.
The second number has the 6 in the hundreds place. It represents 600.
The 6 in the second number is ten times greater than the 6 in the first number.
It might help to expand each number out
543,862 = 500,000 + 40,000 + 3,000 + 800 + 60 + 2385,621 = 300,000 + 80,000 + 5,000 + 600 + 20 + 1And it should be more clear what the connection is.
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
Answers
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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In KLM, KM is extended through point M to point N,
(3x +19)°, m/LMN = (7x + 5)°, and
m/KLM = (2x+8)°. What is the value of x?
Answers
The value of the variable "x" is 11.
We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".
The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.
∠LMK + ∠LMN = 180°
∠LMK + (7x + 5)° = 180°
∠LMK = 180° - (7x + 5)°
In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠K + ∠L + ∠M = 180°
(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°
3x +19 + 2x + 8 + 180 - 7x - 5 = 180
-2x + 22 = 0
2x = 22
x = 11
Hence, the value of the variable "x" is 11.
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Evaluate the function f(x)= x^2 + 2x + 8 at the given values of the independent variable and
simplify.
a. f(6)
b. f(x+4)
c. f(-x)
Answers
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
Question b:
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
Question c:
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
By evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.
It is required to find the solution.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The function f(x)= x^2 + 2x + 8
According to given question we have,
By put the value of x=6 in the function f(x) we get,
Evaluating the function f(6):
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
By put the value of x=x+4 in the function f(x) we get,
Evaluating the function f(x+4):
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
By put the value of x=-x in the function f(x) we get,
Evaluating the function f(-x):
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
Therefore, by evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answers
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
La temperatura en la mañana fue de 5°F sobre cero. A mediodía, la
temperatura fue de 21°F bajo cero. ¿Por cuánto cambió la temperatura?
Answers
right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you 2have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the right now I know you have to go out for the first half of the most people who have been in touch and time to the
An angle measure is 4 more than twice it’s complement. What would it’s supplement measure?
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The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
What is an angle?An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.
Let the angle be x.
Twο angles are cοmplementary when their sum is 90°.
Tοw angles are supplementary when their sum is 180°
If x is οne angle, then its cοmplementary angle is (90-x)°
Given x is 4 mοre than twice its cοmplement.
We can write the equatiοn as:
x = 4 + 2*(90-x)
Sοlving,
x = 4 + 180 - 2x
3x = 184
x = 61.33°
Nοw we are asked tο find the supplementary angle οf x.
Supplementary angle = 180 - x = 180 - 61.33 = 118.67°
Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
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What is the value of x?
Answers
Answer:
x = 20°
Step-by-step explanation:
Step 1:
x + 40° = 3x Vertical Angles
Step 2:
40° = 2x Subtract x on both sides
Step 3:
x = 40° ÷ 2 Divide
Answer:
x = 20°
Hope This Helps :)
These angles are opposite from each other, meaning they are the same.
Note: I'm pretty sure they are called opposite angles, but it's been a long time.
If they are the same, you would need to use an equal sign.
So the equation is x+40 = 3x
Now solve the equation. To remove the x from the left side, you subtract x.
(x+40)-x = (3x)-x
Note: Ignore the parentheses, they are used so you can clearly see the problem more (That doesn't make sense LOL).
Now we have 40 = 2x
Now we have to isolate the x, by removing the 2. Since 2 is multiplied to x, we have to divide it from both sides.
40÷2 = 2x÷2
You get 20 = x
Therefore, the value of x equals 20°
Solve for the surface area of CUBE and RECTANGULAR PRISM
Answers
The surface area of cube and rectangular prism is 384 sq. cm and 100 sq. cm respectively.
What is surface area?The surface area of an object refers to the overall space filled by its surfaces. Different 3D shapes in geometry have various surface areas, which may be quickly estimated using the formulas we shall learn in this lesson. Two categories are used to classify the surface area:
Curved surface area or Lateral surface area
Surface area in total
The surface area of the cube is given as:
SA = 6s²
Substitute the value of s= 8:
SA = 6(8)²
SA = 384 sq. cm
The surface area of the rectangular prism is given by:
SA = 2(lw) + 2(wh) + 2(hl)
Substitute the value of l = 7, w = 2 and h = 4.
SA = 2(7)(2) + 2(2)(4) + 2(4)(7)
SA = 28 + 16 + 56
SA = 100 sq. cm
Hence, the surface area of cube and rectangular prism is 384 sq. cm and 100 sq. cm respectively.
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which statement and reason are missing in the proof? A=A; reflexive
Answers
Answer:
a i guess there isnt a queston here
Step-by-step explanation:
Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)
Step-by-step explanation: i just completed the unit practice test and got 100%
