The values of all the required angles are; m∠5 = 42°; m∠8 = 138°; m∠10 = 138° and m∠11 = 42°
How to Identify corresponding angles?
Corresponding angles are formed where a line known as an intersecting transversal, crosses through a pair of straight lines.
Now, we are given that; m∠1 = 42°
By corresponding angles, we can say that;
m∠1 = m∠5
Thus; m∠5 = 42°
Now, we know that sum of angles on a straight line is equal to 180° i.e. they are supplementary angles.
Now, from the diagram, we can see that m∠5 and m∠8 are supplementary angles and as such;
m∠5 + m∠8 = 180°
42 + m∠8 = 180
m∠8 = 180° - 42°
m∠8 = 138°
Now, m∠9 is a corresponding angle to both m∠1 and m∠5. Thus, we can say that; m∠9 = 42°. However, m∠9 is supplementary to m∠10. Thus;
m∠10 = 180 - 42
m∠10 = 138°
Lastly, m∠10 and m∠11 are supplementary angles and as such;
m∠10 + m∠11 = 180°
138 + m∠11 = 180
m∠11 = 180° - 38°
m∠11 = 42°
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The perimeter of a rectangular garden is 262 m.
If the width of the garden is 54 m, what is its length?
Step-by-step explanation:
154 is my answer thank you
NEED HELP 20 points
Solve for x: −4x − 4 = −4(x + 2)
0
−4
All real numbers
No solution
Answer:
no solution
Step-by-step explanation:
The heaviest freshwater fish caught in region A weighs 286 lb, and the heaviest freshwater fish caught in region B
weighs 614 lb. How much does each weigh in kilograms?
A. The fish from region A weighs about _______ in kg.
(Round to the nearest whole number.)
B. The fish from region B weighs about _______ in kg.
(Round to the nearest whole number.)
Answer:
A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.
B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.
Match the vocabvulary
Answer: The answers are in the steps I numbered it as a question from 1 to 12 hopes it helps.Read it carefully.
Step-by-step explanation:
(1) Answer is RATIONAL NUMBERS.
(2) Answer is Fraction
(3) Answer is Terminating decimal
(4) Answer is Decimal
(5) Answer is Integer
(6) Answer is Repeating Decimal
(7) Answer is Perfect Square
(8) Answer is CLASSIFY
(9) Answer is Real Numbers
(10) Answer is Percent
(11) Answer Whole numbers
(12) Answer is Irrational numbers
 that’s for your contest of a rectangle and semi circle. What is the perimeter of the figure? Use 3.14 for pi.
10ft length 4ft width
Answers available
24.00 ft
30.28 ft
34.28 ft
36.56 ft
Answer:
30.28 ft
Step-by-step explanation:
Part 1 of 2
Evaluate the function f(x)=x-7 at the given value of the variable.
a. f(13)
b. f(3)
Answer:
a)
b)-4
Step-by-step explanation:
a) f(13) = 13-7=
b) f(3)= 3-7= -4
Complete the expression to make its value equal 9.
(24 - ___) / 2 = 9
Answer:
6
Step-by-step explanation:
(24 - 6)/2 = 9
18/2 = 9
Any idea.???????
Here are four shapes
Rhombus and equilateral triangle will fit in regular circle and rectangle will fit in quadrilateral circle.
A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
Here, rhombus and equilateral triangle are regular, and rectangle and triangle are not regular.
Therefore, rhombus and equilateral triangle will fit in regular circle and rectangle will fit in quadrilateral circle.
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A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy \(2.25\ \text{ft}^2\)
Area of first level
\(75\times 75=5625\ \text{ft}^2\)
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
\(\dfrac{5625}{2.25}=2500\)
The number of tickets that can be sold for the first level is 2500.
Two parents who are each known to be carriers of an autosomal recessive allele have four children. None of the children has the recessive condition.What is the probability that one or more of the children is a carrier of the recessive allele? Hint: The probability that one or more of the children is a carrier is the same as the sum of all probabilities minus the probability that none of the children is a carrier. The answer is 0.988. I know the answer but do not know the explanation. So, if someone could walk me through it, I would greatly appreciate it.
The probability that one or more of the children is a carrier of the recessive allele is 0.988.
The probability that one or more of the children is a carrier of the recessive allele can be calculated using the binomial theorem. The binomial theorem states that the probability of a success in a given trial is the sum of all probabilities of success minus the probability of none of the successes.
For the given scenario, we can assume that the probability of each child being a carrier is 0.25 (since each parent is known to be a carrier). The probability of one or more of the children being a carrier is then\((1-0.25^4) = 0.988.\)
To calculate this, we first calculate the probability of none of the children being a carrier, which is \((1-0.25)^4 = 0.316\). We then subtract this from 1 to get the probability of one or more of the children being a carrier:\((1-0.25)^4 = 0.316\)
Therefore, the probability that one or more of the children is a carrier of the recessive allele is 0.988.
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Divide 3 2/3 ÷ 2 1/3. Simplify the answer and write it as a mixed number.
Answer:
The answer is \(1 \frac{4}{7}\)
Step-by-step explanation:
First, you convert \(3 \frac{2}{3}\) to an improper fraction. That is \(\frac{11}{3}\). Do the same for the other number.
Next, use KFC, or Keep, Flip, Change.
Keep the first number
Flip the second
Change the operation. Division becomes Multiplication. You should've gotten \(\frac{11}{3}\)x\(\frac{3}{7}\).
You can simplify now. You would've gotten 11 * \(\frac{1}{7}\). Multiply and you would get \(\frac{11}{7}\). Simplify into a mixed number. The answer is \(1 \frac{4}{7}\).
In a survey, 28 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $34.6 and standard deviation of $2.6. Estimate how much a typical parent would spend on their child's birthday gift (use a 80% confidence level). Give your answers to 3 decimal places.
Answer:
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.8}{2} = 0.9\). So we have T = 1.314
The margin of error is:
\(M = T\frac{s}{\sqrt{n}} = 1.314\frac{2.6}{\sqrt{28}} = 0.646\)
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 34.6 - 0.646 = $33.954
The upper end of the interval is the sample mean added to M. So it is 34.6 + 0.646 = $35.246
The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.
100 POINTS FOR 2 QUESTIONS!!
Answer:
11.a
=solution
Perimeter of triangle =A+B+C
=x+5+2x-3+x+2
=4x+4
4(x+1)cm
Therefore, 4(x+1) cm is the perimeter of the given triangle.
b.
=solution
given,
length(l)=3y+1
breadth(b)=y-2
Now,
perimeter of rectangle=2*(l+b)
=2*(3y+1+y-2)
=2*(4y-1)
=8y-2 cm
Therefore, 8y-2 cm is the perimeter of the given rectangle.
Answer:
\(\textsf{(a)} \quad 4x+4\)
\(\textsf{(b)} \quad 8y-2\)
Step-by-step explanation:
The perimeter of a two-dimensional shape is the distance all the way around the outside.
Part (a)The perimeter of the given triangle is the sum of the lengths of its sides:
\(\begin{aligned}\sf Perimeter & = (2x-3)+(x+2)+(x+5)\\& = 2x-3+x+2+x+5\\& = 2x+x+x+5+2-3\\& = 4x+4\end{aligned}\)
Part (b)A rectangle has two pairs of parallel, congruent sides.
Therefore, the perimeter of the given rectangle is twice the sum of its two different sides:
\(\begin{aligned}\sf Perimeter & = 2(3y+1+y-2)\\& = 2(3y+y+1-2)\\& = 2(4y-1)\\&=8y-2\end{aligned}\)
Select the correct answer. Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)
Answer:
if you have LOF it is explained very well in there. When I was doing that kind of problem that was so helpful. Hope you find the same.
Step-by-step explanation:
Answer:
attached.
Step-by-step explanation:
4. Find the value of the missing angle (x).*
B
20
F
300
E
G
D
NOTE: Angles not necessarily drawn to scale.
Your answer
Answer:
hey, angle x:
it's 60 degree
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Robert has some nickels and some dimes. He has a maximum of 29 coins worth no less than $2.20 combined. If Robert has 10 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Robert's dimes are anywhere between 17 and 19.
Explanation:Nickels
are worth 5 cents, and
dimes
are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.
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Out of a group of 60 people, 24 are left-handed. Which decimal represents the fraction of the people who are left-handed?
0.40
0.24
0.36
0.20
Answer:
0.40
Step-by-step explanation:
fraction of left-handed to total in the group will be
24/60
cut down to 2/5
converting to decimal, it becomes 0.40
The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'. 2 trapezoids are shown. Line W Y is the line of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X. What is m? 45º 90º 180º 270º PLZ HURRY !!!
Answer:
90 degrees
Step-by-step explanation
Answer:
ANSWER: BStep-by-step explanation:
the respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The standard deviation of the response time is 1.53 minutes.
What is the standard deviation of the response time?To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.
Z-score = z = (x - μ) / σ
For the lower bound of 10 minutes:
z = (10 - 13) / σ
For the upper bound of 16 minutes:
z = (16 - 13) / σ
As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.
Using z-scores, we set up equations:
(10 - 13) / σ = -1.96
(16 - 13) / σ = 1.96
Solving the first equation:
-3 / σ = -1.96
σ = -3 / -1.96
Solving the second equation:
3 / σ = 1.96
σ = 3 / 1.96
Dividing both sides by 1.96:
-3 / 1.96 = σ
1.53 = σ
Full question:
The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.
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Determine how Marilyn’s net pay will be affected if she increases her federal withholding allowances from 3 to 4.
What is the whole question?
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,426 was collected on the sale of 1,182 tickets. How many of each type of ticket were sold?
Answer:
You have two unknowns, two variables, therefore you need to have at least two equations in this word problem in order to find a solution. Let's review the info you are given:
The price of an Adult ticket: $5
The price of a Student ticket: $1
The two variables are: the number of Adult tickets sold (you can use variable "A"), and the number of Student tickets sold (use variable "S").
The other info you are given is the total number of tickets sold: 1,215 tickets. Use this to make your first equation: the number of adult tickets plus the number of student tickets equals 1,215.
You are also told how much money was collected: $2,591. That means, $5 from every Adult ticket and $1 from every student ticket. We don't know how many of each ticket, but we assigned variables A and S to stand in for this unknown info. The money made from all the adult tickets would be the price of the adult ticket times how many adult tickets sold (5 times A), and the money made from all the student tickets would be the price of the student ticket times how many student tickets sold (1 times S). Use this to make your second equation, which says that all the money collected from all the tickets (5 times A in addition to 1 times S) is (=) 2,591.
Now you have two equations, each equation has two variables. To solve, go back to the easiest equation (the first one) and isolate one of the variables. By isolate I mean get it on one side of the equation by itself. Since in this case these variables are being added together, you have to do the opposite of addition, which is of course subtraction. To do this, you will have to subtract the other variable ON BOTH SIDES of the equation. So, say we want to isolate the variable A, we will subtract S from both sides. Well, S minus S is zero, so now A is isolated, meaning the left side of the equation is just A = ... Now you want to subtract the S on the other side. Remember that whatever you do to one side you must do to the other.
Now that you have your equation re-worked to show A = ..., you need to "plug it into" the second equation. What I mean is, you need to substitute instead of A, put in this equation. Then you will have one equation with one variable which you can solve! Remember the rules of equations, to do work in parenthesis first, the multiply or divide, then add or subtract. You will be able to solve for S.
Once you have found S (the number of student tickets sold), you can easily find A (the number of adult tickets sold) by going back to that first equation and subtracting your value of S from 1215.
Step-by-step explanation:
list
Which ordered pair is a solution of y = x + 12?
A.( 24, 12)
B. (–12, –24)
C.( 9, 21)
D. (0, –12)
(9,21) is a solution of y=x+12
Step-by-step explanation:When is an ordered pair a solution?
To find if an ordered pair (x,y) is a solution to an equation, substitute the x-value and y-value from the ordered pair into the equation, evaluate both sides of the equation individually, and see if the equation is true.
If the two sides are equal, the ordered pair is a solution.If the two sides are not equal, the ordered pair is not a solution.Warning: A common mistake is to use the first coordinate (the x-coordinate, on the left of the ordered pair) as the value on the left side of the equation, and the second coordinate (the y-coordinate, on the right of the ordered pair), as the value for the right side of the equation. Make sure to substitute the x-value for the "x" in the equation, and the y-value for the "y" in the equation.
Going through the choices:
Point A (24,12)
y = x+12
(12) ?? (24) + 12
12 ≠ 36
not equal -- not a solution
Point B (-12,-24)
y = x+12
(-24) ?? (-12) + 12
-24 ≠ 0
not equal -- not a solution
Point C (9,21)
y = x+12
(21) ?? (9) + 12
21 = 21
equal -- (9,21) is a solution
Point D (0,-12)
y = x+12
(-12) ?? (0) + 12
-12 ≠ 12
not equal -- not a solution
What is the value of the expression 3x+9 if x=6
Answer:
27
Step-by-step explanation:
3(6)=18
18+9=27
Answer:
27
Step-by-step explanation:
You would use PEMDAS to solve this equation, P (parenthesis) E (exponates) M (multiply) D (divide) A (add) S (subtract). The way you use this is by following the steps in the order that you would spell PEMDAS, so 3x+9 would be 3•6+9. So look at the equation 3•6+9, so what would we use first? do we have parenthesis? No, Do we have exponents? No, Do we have multiplication? Yes, so multiply 3 and 6 = 18. Now the equation will look like this 18+9 = 27.
Hope this helps!
Help plz....................
Number 12 please!!! You only have to write not solve
Answer:
He can order 4 toppings
Step-by-step explanation:
600-325=275
$2.75 left
275/065=4.2
What was the decision in the Korematsu v. United States case?
A. Korematsu won and the Japanese internment was deemed unconstitutional
B. Korematsu lost, and the internment was deemed necessary and not discrimination
C. Korematsu lost and was given life in prison as punishment
D. Korematsu won, and was personally let free
Answer:
B. Korematsu lost, and the internment was deemed necessary and not discrimination
Step-by-step explanation:
Give me brainliest if that helped :)
Over a 24-hour period, the tide in a harbor can be modeled by one period of a
sinusoidal function. The tide measures 5 ft at midnight, rises to a high of 9.5 ft, falls
to a low of 0.5 ft, and then rises to 5 ft by the next midnight.
Give the value of each given that x represents time in hours since the beginning of
the 24 hour period that models the situation.
Amplitude =
Equation of midline
Y=
The sinusoidal function that models the situation is:
\(y = 4.5\sin{\left(\frac{\pi}{12}\right)x} + 5\)
From the function, we have that:
The amplitude is of 4.5 ft.The mid-line equation is of y = 5.What is a sinusoidal function?A sinusoidal function is a trigonometric function, and has the following format, considering no phase shift:
\(y = A\sin{(Bx)} + C\)
In which:
A is the amplitude, which is the twice the difference between the largest and smallest value.The period is of \(\frac{2\pi}{B}\).C is the vertical shift, and the mid-line equation is \(y = C\).In this problem, the high is of 9.5 ft and the low is of 0.5 ft, hence, for the amplitude, we have that:
\(2A = 9\)
\(A = \frac{9}{2}\)
\(A = 4.5\)
With an amplitude of 4.5, the standard function would vary between -4.5 ft and 4.5 ft, while in this problem the variation is from 0.5 ft to 9.5 ft, hence the vertical shift is of:
\(C = 9.5 - 4.5 = 4.5 - (-0.5) = 5\)
Which means that the mid-line equation is of y = 5.
Period of 24 hours, hence:
\(\frac{2\pi}{B} = 24\)
\(24B = 2\pi\)
\(B = \frac{\pi}{12}\)
Hence, the function is:
\(y = 4.5\sin{\left(\frac{\pi}{12}\right)}x + 5\)
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Need help, pls!!!
ty!
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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10. In this university, among all students, 15% are senior, 25% are junior, 25% are sophomore, and so 35% are freshmen. Among senior, 40% have scholarship; among junior, 30% have scholarship; among sophomore, 20% have scholarship, and among freshmen, 10% have scholarship. Among those have scholoarship, what is the percentage of studens who are senior
Answer:
27.27% of the students with scolarship are seniors.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has scolarship
Event B: Is a senior
15% are senior, and of those, 40% have scolarship. So
\(P(A \cap B) = 0.15*0.4 = 0.06\)
Probability of a scolarship:
15% of 40%(seniors)
30% of 25%(juniors)
20% of 25%(sophmores).
10% of 35%(freshmen). So
\(P(A) = 0.15*0.4 + 0.3*0.25 + 0.2*0.25 + 0.1*0.35 = 0.22\)
Percentage:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.22} = 0.2727\)
0.2727*100 = 27.27%
27.27% of the students with scolarship are seniors.