Answers
Answer: 57 = y
Step-by-step explanation: To find the value of y in this problem, we use the exterior angle theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
So in the diagram shown, the exterior angle, 114,
is equal to the sum of the remote interior angles, y + y.
So we have 114 = y + y.
Solving from here, first combine like terms on the right side.
So we have 114 = 2y.
Now divide both sides by 2 to get 57 = y.
Related Questions
Which function's graph is shown below?
Answers
Hope this help:)
Please mark a brainliest )))))
help plz quick i will make u a brainllest
Answers
Answer:
B
Step-by-step explanation:
Two 90 degree angles add up to 180, a supplementary angle
Correction: The answer is B, I have made a mistake. Sorry.
Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the mall? $19.00 $23.50 $28.50 $31.67
Answers
Answer:
Francis spent $19 and Hector spent $28.50
A. $19
Step-by-step explanation:
The total amount spent between the two person = $47.5
If Hector is represented by H
Francis represent by F
Therefore equation 1 = H + F = 47.5
H +F = 47.5 ..........(eqn 1)
From the question
Hector = Francis + 50% Francis
Translating this into an equation we get,
H = F + 0.5F ...... (eqn 2)
Substitute equation 2 into equation 1, we get:
(F + 0.5F) + F = 47.5
Thus 2.5F = 47.5
F = 47.5/2.5 = 19
Find the area of the triangle.
Answers
Answer:
80cm^2
Step-by-step explanation:
Answer:
80 ft^2
Step-by-step explanation:
To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2
A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the balcony seats cost $35 each. The theater collected $44,350 in ticket sales for the performance. How many balcony tickets were sold?
Answers
Answer:310
Step-by-step explanation:
Answer:
Balcony tickets = 310
Step-by-step explanation:
Let x be orchestra seat
and y be balcony seat
x + y = 980
x = 980 - y................ (1)
50x + 35y = 44350
Substituting in equation 2,
50 (980 - y) + 35y = 44350
y = 310
Please can someone help me on how to answer this question?
Answers
Answer:
Hello, I'll do it again caus eit got deleted for some reason!
m = 2g^2 + 5
Step-by-step explanation: Remove the radical by raising each side to the index of the radical.
Hope this helped you again!
Solve : a) (x-4)(x-2)=0
Answers
Answer: X= 3
Step-by-step explanation:
x-4*x-2=0
+4. +4
—————-
x*x-2=4
+2. +2
——————
x*x=6
2x=6
/2. /2
—————-
x=3
A national survey showed that 44% of college students drink. A professor provided his own survey by choosing a random sample of 244 students and found that 96 of them drink. Is this an unusual result contradicting the national survey or it is in line with it? Answer the question by determining how far away the proportion is from 44% in terms of standard deviations.
Answers
Answer:
It is an unusual result contradicting the national survey.
Step-by-step explanation:
National survey showed 44% of college students who drink.
The professor's survey showed that 96/244 = 39% drink.
The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.
Standard deviation is the spread of a set of numbers from their mean. In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
Answers
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please help find the correct solutions for the equations below 2x+20=-3x-25 x= -7x+14=4x- 19 x= 10x-3=-5x-18 x= answers 8 5 6 24 -1 -9 20 3 10 -2
Answers
Answer:
I think its 8
Step-by-step explanation:
Se desea plantar árboles a lo largo de un camino de 80m de longitud, a una distancia mínima entre ellos. Si dicha distancia de separación aumentará 6m, entonces el número de árboles necesarios disminuirá en 3. ¿Cuántos árboles serán plantados de la primera forma?
Answers
Answer: 8 arboles.
Step-by-step explanation:
Ok, el camino tiene 80m de longitud.
Si la distancia entre árbol y árbol es x metros, entonces entran:
N = 80m/x arboles.
Ahora, si x aumenta en 6m, entonces el numero de arboles se reduciría en 3, entonces tenemos el sistema de ecuaciones:
N = 80/x
N - 3 = 80/(x + 6)
Para resolver esto, el primer paso es remplazar la primera ecuación en la segunda:
N - 3 = 80/x - 3 = 80/(x +6)
Ahora podemos resolver esto para x.
80*(x + 6) - 3*x*(x +6) = 80x
80*x + 480 - 3*x^2 - 18*x - 80x = 0
-3*x^2 -18*x + 480 = 0
necesitamos resolver esa ecuación cuadrática, y sabemos que las soluciones son:
[tex]x = \frac{18 +-\sqrt{18^2 + 4*3*480} }{-2*3} = \frac{18 +-78}{-6}[/tex]
Entonces las dos soluciones son:
x = (18 +78)/-6 = -16
x = (18 - 78)/-6 = 10
La solución tiene que ser positiva, así que elegimos la segunda.
Esto quiere decir que la primera distancia es 10 metros, entonces el numero de arboles es:
N = 80m/10m = 8
PLEASE HELP ME! Sally is paid a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month.
Answers
Answer: 6($m - $20)
Step-by-step explanation:
From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:
$m - $20.
The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:
= 6($m - $20)
Answer:
Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.
Step-by-step explanation:
she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)
simplify by combining like terms: 7x + 6x + 9
Answers
Answer:
The like terms are 7x and 6x so the answer is 13x + 9.
Answer:
13x + 9 is the Answer
Step-by-step explanation:
Can someone please help me I really need help please help me thank you
Answers
Answer:
A
Step-by-step explanation:
Perpendicular lines always have the negative (opposite) reciprocal slope. Therefore, the slope of the line would be -2 because the reciprocal is just switching the numerator and denominator around (1/2 changes to 2/1 which is 2) and the negative means the opposite sign of which was originally given... i.e, since the 1/2 was positive, now it would be negative. That is why the slope is -2.
The equation of a line is y=mx+b with m representing the slope and b representing the y-intercept. Now to find the y-intercept, plug in the given components of the point (4,0) for the equation and solve for b (the y-intercept). Use 4 for x and 0 for y.
0=-2(4)+b
0=-8+b
8=b
If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°hat is mArc S T?
Answers
Answer:
The answer is below
Step-by-step explanation:
In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°
Given that:
mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees
∠SOR = ∠TOU (Vertically opposite angles are equal). Therefore:
13 x = 15x - 8
solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides
13x - 13x = 15x - 8 - 13x
0 = 15x - 13x - 8
2x - 8 = 0
Adding 8 to both sides:
2x - 8 + 8 = 0 + 8
2x = 8
2x/2 = 8/2
x = 4
∠SOR = 13x = 13(4) = 52°
∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°
Let a = mArc R V = mArc V U
Therefore:
mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)
Substituting:
a + a + 52 = 180
2a = 180-52
2a = 128
a = 128/2
a= 64°
mArc R V = mArc V U = 64°
Answer:
C) 64 degrees
Step-by-step explanation:
just took the test on edg2020
An experiment consists of tossing 3 coins at the same time. What is the probability of tossing 2 tails and 1 head?
Answers
Answer:
3/8.
Step-by-step explanation:
The probability of a head or a tail on one toss of a single coin is 1/2.
So the required probability when 3 coins are tossed of getting say 3 heads = (1/2)*3 = 1/8.
The probabilities are multiplied because each event ( 1 coin tossed) is independent of the others.
There are 3 ways to get 2 H and 1 tail (HHT, HTH and THH) so the answer is 3 * 1/8
= 3/8.
Answer:
3/8 or 0.375 or 37.5%
Step-by-step explanation:
You have three coins. The probability of getting a head or a tail for each coin is 1/2. So,
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex]
There are 8 possible combinations that can come from tossing 3 coins at the same time: HHH, HHT, HTH, HTT, THH, THT , TTH , or TTT.
Every time you toss the 3 coins, there is a [tex]\frac{1}{8}[/tex] chance that you get either of these combinations. So,
[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{3}{8}[/tex]
The probability of tossing 2 tails and 1 head is 3/8.
Hope this helps.
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Smith and 44% supported challenger Jones. Also assume that the poll had a /- 3% margin of error. What would the pollster be able to safely predict
Answers
Answer:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .
Express 35 millimetre in centimetre
Answers
Answer:
Hello!
___________________
Express 35 millimetre in centimetre
Millimetre = 35
Centimetre = 3.5
Step-by-step explanation: Divide the length value by 10.
Hope this helped you!
:D
Answer:
Hey! :)
35 millimetre = 3.5 centimetre
Good luck!
- The Brainly Team
Suppose the area of a rectangle is represented by the expression 100 – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?
Answers
Answer:
a - b and a + b.
Step-by-step explanation:
Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.
According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.
In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).
We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.
Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).
Hope this helps!
draw the graph of the equation x+y=5and find the points were the line meets the x axis and y axis
Answers
Answer:
Use a graphing calculator.
Step-by-step explanation:
How to solve without a graphing calculator (if it's not allowed):
1) convert x+y= 5 to slope-intercept form. (right now it's in standard form.) We can do this by solving for y.
x+y=5 (subtract x from each side), y= -x +5
2) graph by hand using y=mx+b. From our equation, we can see that m= -1 and b=5. So, graph starting at 5, and go down one, over one, as far as you need to be able to draw the line through your points. Now, you can see that the y-intercept is 5 and the x-intercept is 5.
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answers
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
Form a cubic polynomial whose zeroes are 2, 1/3 and 1/2.
Answers
Answer:
6x³ - 17x² + 11x - 2
Step-by-step explanation:
The cubic polynomial in general form is:
ax³+bx²+cx+d = (x-x1)(x-x2)(x-x3)zeroes are
x1=2, x2=1/3, x3=1/2then we can get the polynomial as:
(x-2)(x-1/3)(x-1/2)=0(x-2)(3x-1)(2x-1)=0(3x²-x-6x+2)(2x-1)=0(3x²-7x+2)(2x-1)=06x³-3x²-14x²+7x+4x- 2=06x³ - 17x² + 11x - 2= 0So the required polynomial is:
6x³ - 17x² + 11x - 2Answer:
f(x) = 6x³ - 17x² + 11x - 2
Step-by-step explanation:
Given the zeros x = 2, x = [tex]\frac{1}{3}[/tex], x = [tex]\frac{1}{2}[/tex] then the factors ar
(x - 2), (x - [tex]\frac{1}{3}[/tex] ), (x - [tex]\frac{1}{2}[/tex] )
By equating the fractional factors to zero we can express them as integer factors, that is
x - [tex]\frac{1}{3}[/tex] = 0 ( multiply through by 3 )
3x - 1 = 0
x - [tex]\frac{1}{2}[/tex] = 0 ( multiply through by 2 )
2x - 1 = 0
Thus the factors are (x - 2), (3x - 1), (2x - 1)
The polynomial is then the product of the factors.
f(x) = (x - 2)(3x - 1)(2x - 1) ← expand last 2 factors using FOIL
= (x - 2)(6x² - 5x + 1) ← distribute
= 6x³ - 5x² + x - 12x² + 10x - 2 ← collect like terms
f(x) = 6x³ - 17x² + 11x - 2 ← cubic polynomial
Two researchers select a sample for a population with a mean of 12.4 and a standard deviation of 9. Researcher A selects a sample of 25 participants. Researcher B selects a sample of 15 participants. Which sample is associated with a larger standard error
Answers
Answer:
researcher B with 15 participants will be associated with a larger standard error
Step-by-step explanation:
Standard error can be expressed mathematically as;
E = zr/√n ......1
Where
z = z value of test statistics
r = standard deviation
n = number of samples
From equation 1, given that the standard deviation and the z value for the two researchers are thesame, then we can say;
E = zr/√n
E = k/√n
E1/E2 = √(n2/n1)
n1 = 25
n2 = 15
E1/E2 = √(15/25)
E1/E2 = 0.774596669241
E1 = 0.77E2
Therefore, E1 is less than E2
E1 < E2
And also the larger the number of samples the lower the standard error.
Since researcher B have a lower number of samples it will have a larger standard error.
So, researcher B with 15 participants will be associated with a larger standard error
Sean and katherine have been married for two years. They want to start a family soon. However, before having a child, they would like to secure their future and the future of their child. Which financial option will help them secure their family's future? A. Invest in in several real estate options B. Invest in high-risk shares that promise big returns C. Invest in a joint insurance and retirement plans D. Become entrepreneurs or invest in a profit-making business
Answers
PLEASE MARK BRAINLIEST!!!!!! Thanks
Answer:
A joint insurance and retirement plan would generally be the most secure investment.
Step-by-step explanation:
Note: there may be divergence in the answers depending on personal opinion.
If they would like to secure their future, then they need secure investments, or low-risk investment. Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.
A. real estate options, mean unknown return in unknown time-frame
B. high risk shares that promise big returns mean risky investment with high risk of losses
C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)
D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.
I need help with converting this to get the answer!! Please help!! :D
Answers
Answer:
Volume of the water droplet = 0.00001 cubic meter
Step-by-step explanation:
∵ 100 centimetres = 1 meter
∴ 1 centimetre = [tex]\frac{1}{100}[/tex] meter
= 0.01 meter
Volume of a water droplet = 0.1 cubic centimetre
= 0.1 (centimetre)³
By putting 1 centimetre = 0.01 meter
Volume of the water droplet = 0.1 (0.01 meter)³
= 0.1 × (0.01)³ meter³
= 0.1 × 0.0001 meter³
= 0.00001 meter³
is {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} a relation? why?
Answers
Answer: Yes.
Step-by-step explanation: In each bracket, there is an odd and even number.
Which of the following are not polynomials? Able to be more than one.
A. X-2 +X+1
B. x2/3 + v3x+1
c.2/3x-2+x+1
D. x3+0x2 + 2x + v2
E.2/x3+x+1/2
Answers
The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.
What are polynomial terms?The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.
x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.
Therefore, the correct option is B. x2/3 + v3x+1.
To learn more about polynomial terms, refer to the link:
https://brainly.com/question/11536910
#SPJ1
John cut a paper square with a perimeter of 18 inches into two rectangles. The perimeter of one of the rectangles is 10 inches. What is the perimeter of the second rectangle?
Answers
Answer:
13.5 inches
Step-by-step explanation:
Perimeter of the paper square = 18inches
Perimeter of a square = 4s
4s = 18 inches
s = 18/4 = 4.5 inches
Therefore, each side of the square = 4.5 inches.
When the square is cut into 2 rectangles,
The perimeter of one of the rectangles is 10 inches.
Perimeter of the second rectangle = 2L + 2W
Let the length of the rectangle (L) = one side of the square = 4.5 inches
Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25
Perimeter of the second rectangle = 2(4.5) + 2(2.25)
= 9 + 4.5
= 13.5 inches
Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance. In a study of a weight loss program, 77 subjects lost an average of 4141 lbs. It is found that there is about a 4040% chance of getting such results with a diet that has no effect. Does the weight loss program have statistical significance?
Answers
Answer:
No, the weight loss program doesn't have statistical significance.
Step-by-step explanation:
We are given that in a study of a weight loss program, 7 subjects lost an average of 41 lbs.
It is found that there is about a 40% chance of getting such results with a diet that has no effect.
Firstly, statistical significance means that the event is sure to be happen and there is a proper statistical calculation behind it.
But here it is stated that there is a 40% chance of getting such results with a diet that has no effect which means that the event is unlikely to happen by chance and it is just a prediction so, the weight loss program is not statistically significant.
Now, practically significant means that there is a large difference in the subjects being tested.
Here, the weight loss program is considered to be practically significant because there is a large amount of weight loss of 43 lbs of the subjects which is a large amount.
using the frequency table. what fraction of students passed the test
Answers
Add the frequency for 16 and above :
5 + 7 + 7 = 19
19 passed
Total students ( add all frequencies) is 30
The fraction that passed is 19/30