Answers
Answer:
<16 should be 70 degrees. Correct me if I'm wrong.
Answer:
70°
Step-by-step explanation:
\(m \angle \: 1 + m \angle \: 2 = 110 \degree...(given) \\ \\ m \angle \: 11 + m \angle \:1 2 = m \angle \: 1 + m \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: m \angle \: 11 + m \angle \:1 2 = 110 \degree \\ \\ now \: \\ m \angle \: 14 + m \angle \:1 5 = m \angle \: 1 1+ m \angle \: 12 \\ (vertical \: \angle s) \\ \implies \: m \angle \: 14 + m \angle \:1 5 = 110 \degree \\ \\ m \angle \: 13 = m \angle \: 16 \: \\ (vertical \: \angle s) \\ \\next \\ m \angle \: 1 1+ m \angle \: 12 + m \angle \: 1 3+ \\ m \angle \: 14 + m \angle \: 1 5+ m \angle \: 16 = 360 \degree \\ \therefore \: (m \angle \: 1 1+ m \angle \: 12 ) + (m \angle \: 1 4+ \\ m \angle \: 15) + m \angle \: 1 3+ m \angle \: 16 = 360 \degree \\ \therefore \:110\degree + 110 \degree + m \angle \: 1 6+ m \angle \: 16 = 360 \degree \\ 220 \degree + 2m \angle \: 16 = 360 \degree \\ 2m \angle \: 16 = 360 \degree - 220 \degree \\ 2m \angle \: 16 = 140 \degree \\ \therefore \: m \angle \: 16 = \frac{140 \degree}{2} \\ \\ \huge \red{ \therefore \: m \angle \: 16 =70 \degree}\)
Related Questions
Catherine Destivelle was the first woman rock climber to complete a solo ascent in 1992. She is helping to design an inside rock-climbing wall on which other climbers can practice. She draws the figure
below on the coordinate grid to represent part of the wall. Each square represents one foot
Answers
Answer:
count the unit squares
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
pleas please help me !!
“A relation contains to points (-5,-10) (-2,-4) (-1,-2) (4,8) and (5,10) is this a function?
please explain how you did the work step by step pls!!!
Answers
Answer:
This is a function and there is no value of x for which we will get two or more different values of y.
Step-by-step explanation:
Now, this is a function and there is no value of x for which we will get two or more different values of y
The equation is y = 2x
bye
Under an enlargement transformation point A(1,-4)is mapped onto A¹(2,5)with scale factor 3 find the center of enlargement
Answers
Answer:
(1/2, -8 1/2)
Step-by-step explanation:
The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...
(A' -C) = 3(A -C)
__
Solving for C gives ...
A' -C = 3A -3C
2C = 3A -A' . . . . . . . add 3C-A'
C = (3A -A')/2
Filling in the given coordinates for A and A', we find the center of enlargement to be ...
C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2
C = (1/2, -8 1/2)
The center of enlargement is (1/2, -8 1/2).
A television stand was priced P1659 after a discount of 30%. Calculate the price of the television stand before the discount?
Answers
Answer:
2156.7
Step-by-step explanation:
first, after discount is meant now $1659 and 30% up, that way we need to do 1659 x 1.3 it gives us 2156.7
A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment grade bonds at 8%, how much should she invest in each?
Answers
Answer:
She should invest 150,000 in government bonds and 50,000 in investment grade bonds
Step-by-step explanation:
Let the amount invested in government bonds be $y while the amount invested in investment bond be $x
Since total is $200,000
Then:
x + y = 200,000 ••••••(i)
Since 13,000 is what is expected to be earned, then this is like the interest.
thus;
6% of x + 8% of y = 13,000
6x/100 + 8y/100 = 13,000
Multiply through by 100
6x + 8y = 1300000 •••••••(ii)
From i, x = 200,000 - y
insert this into ii
6(200,000-y) + 8y = 1300000
1200000-6y + 8y = 1300000
2y = 1300000-1200000
2y = 100,000
y = 100,000/2
y = 50,000
but x + y = 200,000
thus, x = 200,000 - 50,000
x = 150,000
Monsieur Anatole est un artisan spécialiser dans la fabrication de colliers. Il dispose 3 717 perles rouges et de 2 205 perles blanches. En utilisant toutes ses perles, il réalise au maximum de colliers identique. La réalisation de chaque collier lui coute 9,84 €. Un deuxième artisan, Monsieur Bernards, utilise la totalité de ces 1472 perles rouges et 2 898 perles blanches pour fabriquer un maximum de colliers identiques. La fabrication d'un collier lui revient à 8,48 €. Les deux artisans décident de fixer le prix de vente de chaque colliers selon la constitution, à savoir : 22 centimes d'euro par perle rouge et 13 centimes par perles blanches. Sur la vente d'un collier, quel artisan réalise le meilleure bénéfice ?
Answers
Answer:
Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard
Step-by-step explanation:
a) Pour Monsieur Anatole
Nous trouvons le plus grand diviseur commun de 3717 et 2205
Par conséquent, le plus grand diviseur commun = 63
Le nombre de colliers qu'il a fabriqués = 63
Découvrir combien de perles rouges et blanches il a utilisées
Pour les perles rouges =
= 3717/63 = 59 perles
Pour les perles blanches
= 2205/63 = 35 perles blanches
il fabrique 63 colliers avec 59 perles rouges et 35 perles blanches
On nous dit dans la question que:
Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.
Le prix de vente du collier =
0,22 × 59 + 0,13 × 35 = 17,53 €
Prix de revient = 9,84 €
Le profit est calculé comme suit:
17,53 € - 9,84 € = 7,69 €
Nous calculons le pourcentage de profit
= Bénéfice / Prix de revient × 100
= 7,69 / 9,84 × 100
= 78,150406504%
= 78,2%
b) Pour Monsieur Bernard
Le GCD de 1472 et 2898 = 46
Par conséquent, il a fait 46 colliers
Le nombre de perles rouges = 1472/46
= 32 perles rouges
Le nombre de perles blanches = 2898/46
= 63 perles blanches
Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.
Le prix de vente de chaque colliers = 32 × 0,22 + 63 × 0,13 = 15,23 €
Le coût Prix du collier = 8,48 € chacun
Le profit qu'il a réalisé = 15,23 € - 8,48 €
= 6,75 €
Nous calculons le pourcentage de profit
= Bénéfice / Prix de revient × 100
= 6,75 / 8,48 × 100
= 79,5990566%
= 79,6%
Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard
Mary analyzed occupancy rates at two community hospitals and obtained the following Excel results.
t-Test for Acue Care Occupancy Rates
MaxHealth HealthPro Mean 62.5462 68.4800 Variance 108.2377 98.3707 Observations 13 10 Hypothesized Diff 0 df 20 t Stat −1.3923 P(T<=t) one-tail 0.0896 t Critical one-tail 1.7247 P(T<=t) two-tail 0.1791 t Critical two-tail 2.0860 Which conclusion is correct in a two-tailed test at α = .05?
Multiple Choice
There appears to be no difference in the mean occupancy rates.
There is a significant difference in the mean occupancy rates.
HealthPro has a significantly higher mean occupancy rate.
Carver Memorial Hospital’s surgeons have a new procedure that they think will decrease the time to perform an appendectomy. A sample of 8 appendectomies using the old method had a mean of 38 minutes with a variance of 36 minutes, while a sample of 10 appendectomies using the experimental method had a mean of 29 minutes with a variance of 16 minutes. For a right-tailed test for equal means (assume equal variances), the critical value at α = .10 is
Multiple Choice
2.120
2.754
1.746
1.337
Answers
The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.
How to solveFrom the given values:
Thus, the P-value = 0.1791
Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.
From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.
Thus, option A is correct.
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A chemical reaction occurs in three stages. Each stage consists of a mix of positively and negatively charged elements. Some of those elements react by bonding together, but each pair can only consist of 1 negatively charged and 1 positively charged element. Some elements can exist by themselves without bonding with other elements.
In the chemical reaction, there are 8 elements (Z, Y, X, W, V, U, T, S). In the first reaction, two pairings were made: Z bonded to T, and U bonded to X. In the third reaction, V bonded to S. The reaction only consisted of three negatively charged elements.
Which of the following statements is false?
Pick ONE option
a. Y must be positively charged
b. V must be positively charged
c. W must be positively charged
d. T, X, and S could possibly be negatively charged
e. T, X, and 5 could possibly be positively charged
Answers
The false statement is option e. T, X, and S could possibly be positively charged.
Based on the given information, we know that three negatively charged elements are involved in the reaction. Let's analyze the options one by one:
a. Y must be positively charged: We have no information about Y, so it could be either positively or negatively charged. This statement is inconclusive.
b. V must be positively charged: We are specifically told that V bonded to S. Since S is negatively charged, V must be positively charged for the bonding to occur. This statement is true.
c. W must be positively charged: We have no information about W, so it could be either positively or negatively charged. This statement is inconclusive.
d. T, X, and S could possibly be negatively charged: We know that T bonded with Z and X bonded with U. Since Z and U are positively charged, T and X must be negatively charged to form the required pairing. This statement is true.
e. T, X, and S could possibly be positively charged: This statement contradicts the information given in option d. If T and X are negatively charged, they cannot be positively charged. This statement is false.
Therefore, the false statement is option e. T, X, and S could not possibly be positively charged.
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I need help solving the missing part of the problem
Answers
The given functions are:
\(\begin{gathered} f(x)=5x-3 \\ g(x)=3x^2+6x+4 \end{gathered}\)To solve for f(g(6)), first we need to find g(6):
\(\begin{gathered} g(6)=3\cdot(6)^2+6(6)+4 \\ g(6)=3\cdot36+36+4 \\ g(6)=108+36+4 \\ g(6)=148 \end{gathered}\)So, f(g(6))=f(148), now find f(148):
\(\begin{gathered} f(148)=5\cdot148-3 \\ f(148)=740-3 \\ f(148)=737 \end{gathered}\)The answer is f(g(6))=737
b. Find f(f(2)).
Start finding f(2):
\(\begin{gathered} f(2)=5\cdot2-3 \\ f(2)=10-3 \\ f(2)=7 \end{gathered}\)Now, f(f(2))=f(7), solve for f(7):
\(\begin{gathered} f(7)=5\cdot7-3 \\ f(7)=35-3 \\ f(7)=32 \end{gathered}\)The answer is f(f(2))=32
Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.
a. How many copies will bill have to purchase if he is to have enough resumes?
b. how much will the copies cost bill, including the 6% sales tax?
Answers
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60
50 points!!! and BRAINLIEST IF CORRECT
An investment banker is responsible for investing a customer’s money into the greatest interest earning account. The banker has the following options for his customer’s investment:
Account A:
interest rate = 8%
term of investment = 8 years
interest compounded annually Account B:
interest rate = 7%
term of investment = 10 years
interest compounding continuously
Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer, include all of your calculations.
Answers
Answer: account b
Step-by-step explanation:
account A will give 92 thousand dollars
account B will give 100 thousand dollars
I put it in a table
Answer:
SEE ANSWER BELOW
Step-by-step explanation:
A. (formula A=P(1+r/n)^nt
P=50,000(1+.08/1)^nt
P=50,000(1+.08)^nt
P=50,000(1.08)^nt
P=50,000 • 1.85
P=92,546.5
B. (formula A=Pe^rt
P=50,000e7 • 10
P=50,000 • 7
P=50,00 •2 .013
P=100689.64
B saves more
Evaluate ∫ ∫ (x² + y²)dx dy over the region in the positive quadrant which x+y≤1.
Answers
The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.
To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.
Now, integrating the inner integral with respect to x, we get:
∫ (x² + y²)dx = (1/3)x³ + y²x + C1,
where C1 is the constant of integration.
Next, we integrate the resulting expression with respect to y:
∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,
where C2 is another constant of integration.
Finally, we evaluate this double integral over the given region by substituting the limits of integration:
∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.
Performing the integration, we can find the numerical value of the double integral within the given region.
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The mean points obtained in an aptitude examination is 103103 points with a variance of 169169. What is the probability that the mean of the sample would differ from the population mean by less than 2.82.8 points if 6363 exams are sampled
Answers
The probability that the mean of the sample would differ from the population mean by less than 2.8 points if 63 exams are sampled is 0.9592 or approximately 95.92%.
It is necessary to determine the region under the normal distribution curve between -2.8/0.5916 and 2.8/0.5916 standard deviations from the mean in order to determine the likelihood that the sample mean deviates from the population mean by less than 2.8 points. We can use a standard normal distribution table or a calculator to find this probability.
Mean of the distribution of sample means = 103
Variance of the distribution of sample means = 169/63 = 2.68
Using the z-score method, we can determine the likelihood that the sample mean deviates from the population mean by no more than 2.8 points.:
z = (x - μ) / (σ / √(n))
where n is the sample size, x is the sample mean, is the population mean, is the population standard deviation (square root of the variance), and is the population mean.
Plugging in the values, we get:
z = (x - 103) / (√(169/63))
z = (x - 103) / 0.5916
We calculate the chance to be roughly 0.9592 using a conventional normal distribution table.
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Which of the following is equivalent to
z²+7z-3/z+2
Answers
The equivalent expression is:
(z - 1)(z + 3)/(z + 2)
To simplify the expression (z² + 7z - 3)/(z + 2), you can either factorize the numerator or use polynomial division. Let's use factoring in this case.
First, let's factorize the numerator, z² + 7z - 3, into two binomial factors:
(z - 1)(z + 3)
Now, the expression becomes:
[(z - 1)(z + 3)]/(z + 2)
So, the equivalent expression is:
(z - 1)(z + 3)/(z + 2)
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\(\frac{11}{6}\)
Answers
Answer:
1, R 5
Step-by-step explanation:
Long division
\(6 \times 1 = 6\\11 - 6\\= 5\\=1\:R5\)
What is an equation of the line that passes through the points (4, 3) and (7, 3)?
Answers
Answer:
y = mx+b
Step-by-step explanation:
m is the slope, and
b is the y-intercept
PLEASE HELP ASAP
The equation (x + 56) / 3 = 5x models the workload of a class project, where x is the number of hours each student must contribute. How many hours does each student work on the project?
I think it's 4 hours because when I plug it into the equation, it shows 20 = 20 indicating it's correct. I need some verification tho.
10 hours
9 hours
7 hours
4 hours
Answers
Answer:
Step-by-step explanation:
the answer is 7 hours not 4 hours
Answer:
Yes, 4 hours
Step-by-step explanation:
\(\frac{x + 56}{3} = 5x\) Multiple both sides by 3
x + 56 = 15x Subtract x from both sides
56 = 14x Divide both sides by 14
4 = x
The perimeter of an isosceles triangle is 21 cm. The length of each equal side is triple
the length of the base. Find the side lengths of the triangle.
Answers
Let the length of the base of this isosceles triangle be = x
One of its equal sides = 3x
Another one of its equal sides = 3x
Their perimeter = x + 3x + 3x = 21 cm
To find the value of each side let us first solve this equation .
= x + 3x + 3x = 21 cm
= 7x = 21 cm
= x = 21 ÷ 7 ( transposing ×7 from LHS to RHS changes ×7 to ÷7 )
= x = 3
Then length of base = 3 cm
Length of one equal side = 3 × 3 = 9 cm
Length of another equal side = 3 × 3 = 9 cm
Therefore , the the three sides of this triangle = 3 cm , 9 cm and 9cm .
What is current i formula?
Answers
The formula of current I is I=V/R.
In the field of physics, current can be described as the rate that shows the intensity of electrons that are flowing from one place to another.
The current is the measure of the potential difference from which the current moves forward when resistance is also a factor that stops it. Electric current is directly proportional to the potential difference applied and is inversely proportional to the resistance in the object in which the electric current is flowing.
Based on this fact, the formula for current, which is represented by the letter I is I=V/R, here I is the current, V is the potential difference and R is the resistance.
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Write the ratio as a fraction in simplest form.
1. 8 to 14
2. 36 even : 12 odd
3. 42 vanilla to 48 chocolate
Find the unit rate.
4. $2.50 for 5 ounces
5. 15 degrees in 2 hours
6. 183 miles in 3 hours
What is the answer to all these questions?
Answers
1. 4 to 7
2. 3 even : 1 odd
3. 6 vanilla to 8 chocolate
+please help i dont know how to solve this
Answers
Answer:
thee answer is 3375ft
Step-by-step explanation:
Volume =length x width x height
V = 15ft x 15ft x 15ft
=3375 ft
can I please get brainly
Jason and Mateo went to eat at Sam's Sub Shop. They spent $12.25 for lunch plus 8% tax. If they split the bill evenly, what was the price that each person paid
Answers
Answer:
answer 26
ok now help me
Complete the solution of the equation. Find the
value of y when x equals -29.
-X – 7y = -34
Answers
Answer: 9
Step-by-step explanation:
-x-7y= -34
-(-29) -7y =-34
29 -7y =-34
-7y = -63
y = 9
statisticians calculate the consumer price index by taking the 80,000 prices of individual products and combining them, using ______________ .
Answers
Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.
The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.
Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.
To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.
In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.
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9. Solve the equation. (1 point)
23 = 7x
Answers
Step-by-step explanation:
x=3.2 or if u round-up 3.3
Answer:
Today: Monday: 12 October 2020
Hour: 10.28 WIB (in Indonesian)
_________________________
23 = 7x
23/7 = x
x = 3.285
What fraction of the shape is shaded? plssss help
Answers
Answer:
2/6
Step-by-step explanation:
Answer:
1 1/2 of the shape is shaded
Step-by-step explanation:
Hope this helps!
The cost of a cab ride is $4.25 plus $0.35 per mile. How many miles did a person travel if the cost of the cab ride was $14.75?
A. 30 miles
B. 35 miles
C. 42 miles
D. 54 miles
Answers
step by step explanation: 14.75-4.25 (one time fee)
14.75-4.25=10.5
10.5 divided by 0.35 is 30
therefore the answer is A, 30 miles
Answec 42
Step-by-step explanation:
use a calculater and time 0.35 by each answerd and then you get your annswer
based on the scatterplot and residual plot shown, is a linear model appropriate for summarizing the relationship? a linear model is appropriate because the residual plot shows no pattern. a linear model is appropriate because the mean of the residuals appears close to zero. a linear model is not appropriate because there are potential outliers in the residual plot. a linear model is not appropriate because of the random scatter of points in the residual plot.
Answers
Answer:A linear model is appropriate because the scatterplot shows a strong, positive linear relationship.
Step-by-step explanation:
A jet engine (140 decibels) is how many times as intense as a rock concert (120 decibels). A. 20 B. 2 c. 1/100 D. 100
Answers
The correct option is D. 100. The jet engine is 100 times more intense than the rock concert.
The decibel scale is logarithmic, which means that every increase of 10 decibels represents a tenfold increase in sound intensity. To determine how many times more intense the jet engine (140 decibels) is compared to the rock concert (120 decibels), we need to calculate the difference in decibels and then convert it into intensity ratios.
The difference in decibels is 140 - 120 = 20 decibels. Since every 10 decibels represent a tenfold increase in intensity, a 20-decibel difference corresponds to a 100-fold increase in intensity. Therefore, the jet engine is 100 times more intense than the rock concert.
Among the options provided: A. 20 (not correct), B. 2 (not correct), C. 1/100 (not correct), D. 100 (correct). The correct option is D. 100.
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What is the product of 2x3 +9 and x3 +7?
Answers
The product of the expression is 2x⁶ + 23x³ + 63
How to determine the productFirst, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.
These algebraic expressions are also made up of mathematical operations, such as;
BracketAdditionMultiplicationDivisionParenthesesSubtractionFrom the information given, we have that;
2x3 +9 and x3 +7?
Then,
(2x³ + 9)(x³ + 7)
expand the bracket
2x⁶ + 14x³ + 9x³ + 63
add like terms
2x⁶ + 23x³ + 63
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