Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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what slope is this
......................
Answer:
Negative slope
What’s the answer please help.
Answer:
i think its the last one
someone please help meeeeee
Answer:
B. (5,0)
Step-by-step explanation:
hope this helps
Answer:
B. (5,0)
Step-by-step explanation:
Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.
(4x-5)+15=32 find solution for x
Answer: x=11/2
Step-by-step explanation: (4x-5)+15=32
4x-5+15=32
4x+10-10=32-10
4x/4=22/4
x=11/2
Used in traditional Indian dances, Ghungroos are ankle made with bells. The scatter plot shows the number of hours Nisha works and the number of pairs of ghungroos she makes. The equation y = 4.75x - 2.5 is a good line of fit for the data. Using the equation of the line, how many hours will it take Nisha to make 64 pairs of ghungroos.
Answer:144
x
Step-by-step explanation:
Find tan θ for θ = 60° .
Answer:
\(\sqrt{3}\)
Step-by-step explanation:
tanx=\(\frac{sinx}{cosx}\)
sin60°/cos60°=\(\frac{\sqrt{3} }{2} / \frac{1}{2}\)= \(\sqrt{3}\)
can someone explain the working out pls
The total surface area of the hemisphere is 300πcm²
What is a hemisphere?We should understand that when a sphere is cut into two equal parts, one half is called a hemisphere.
The curved surface area of the hemisphere is denoted by
CSA = 2πr²
Area of the circular base is denoted by
Area = πr²
This implies that the total surface area of the hemisphere
TSA= Area of surface + Area of the circular base
TSA= 2πr² + πr²
Total surface area = 3пr²
Total surface area = 3*π*10²
= 300π cm²
This means that the hemisphere has total surface area of 300π cm²
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yeehaw new chaatatattatat
Answer:
heyyyyyyyy :P
Step-by-step explanation:
Answer:
Heyyyyyyyyyyyyyyyyyyyyyy :)
Can someone help with this? Thank you!
The value of x is 24 and different angles of hexagon will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
Describe angle.An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.
We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).
Given the figure is hexagon,
the sum of angles of a hexagon is 720,
Upon adding the given angles,
mA = (7x-8)°
mB (4x+46)°
mC = (5x)
mD = (6x+12)°
mE = (x+7)°
mF = (5x-9)°
⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720
⇒ 28x + 48 = 720
⇒ 28x = 672
⇒ x = 24
Therefore, the angles will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
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There are 1400 students in a school. Out of these 350 students wear glasses. What percentage of students wear glasses
Answer:
25%
Step-by-step explanation:
divide the number by the total then multiply by 100 and add a percent sign
350/1400*100=25%
A random sample of 50 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $18.21 per car. The population standard deviation is $5.92.
Round your answers to two decimal places.
(a) State the point estimate for the population mean cost of fast food bills at this restaurant $
(b) Calculate the 95% margin of error. $
(c) State the 95% confidence interval for the population mean cost of fast food bills at this restaurant.
$
≤ µ ≤ $
(d) What sample size is needed if the error must not exceed $1.00?
n =
First, we find the point estimate, given by the sample mean. Then, with this, and the standard deviation of the population given, we can find the margin of error, and then, we can find the confidence interval and the minimum sample size necessary.
Doing this, we get that:
a) The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.
b) The 95% margin of error is $1.64.
c) The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.
d) The sample size needed is 135.
Question a:
The point estimate for the population mean is the sample mean, which is of $18.21.
The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.
Question b:
We have to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.95}{2} = 0.025\)
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a p-value of , so Z = 1.96.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which is the standard deviation of the population and n is the size of the sample.
\(M = 1.96\frac{5.92}{\sqrt{50}} = 1.64\)
The 95% margin of error is $1.64.
(c) State the 95% confidence interval for the population mean cost of fast food bills at this restaurant.
The lower end of the interval is the sample mean subtracted by M. So it is 18.21 - 1.64 = 16.57
The upper end of the interval is the sample mean added to M. So it is 18.21 + 1.64 = 19.85
The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.
(d) What sample size is needed if the error must not exceed $1.00?
This is n for which M = 1. So
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(1 = 1.96\frac{5.92}{\sqrt{n}}\)
\(\sqrt{n} = 1.96*5.92\)
\((\sqrt{n})^2 = (1.96*5.92)^2\)
\(n = 134.6\)
Rounding up:
The sample size needed is 135.
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WILL GIVE BRIANLEST IM WATCHING
Answer:
negative
Step-by-step explanation:
♪\(*^▽^*)/\(*^▽^*)/
12% of what number is 3600?
Answer:
30,000
Step-by-step explanation:
I just counted in my head
Answer:
x = 30,000Step-by-step explanation:
Let's represent the unknown number by x
"of" means multiplication so 12% of the number means 12/100 × x
12% of the number is 3600 so we equate 12/100(x) to 3600 and find x
We have
\( \frac{12}{100} \times x = 3600\)
Multiply both sides by 100 to eliminate the fraction
We have
\(12x = 360000\)
Divide both sides by 12
\( \frac{12x}{12} = \frac{360000}{12} \\ \)
We have the final answer as
x = 30,000Hope this helps you
Work out the area of a rectangle with base, b = 22mm and perimeter, P = 50mm.
b
The diagram is not drawn to scale.
mm2
Answer: A=22^2
Step-by-step explanation: Hope this helps
NTB Tires bought 809 tires from its manufacturer for $32 per tire. A - What is the total cost of NTB's purchase? B - Assume the store can sell all the tires at $85 each. What will be the store's gross profit, or the difference between its sales and costs?
Answer:
A. $25,888
B. $42,877
Step-by-step explanation:
The total cost is the product of the cost of each item and the number of items. The total profit will be the product of the profit on each item and the number of items.
ApplicationA) CostThe cost of 809 tires at $32 each is ...
809 × $32 = $25,888 . . . . . total cost of the purchase
B) ProfitThe profit the store makes on each tire is ...
profit = selling price - cost = $85 -32 = $53
The gross profit on 809 tires at $53 each is ...
total profit = 809 × $53 = $42,877 . . . . . gross profit
The area of the circular base of a cone is 16π cm², and the slant height of the cone is 4 times the radius of the cone.
What is the approximate lateral area of the cone?
The approximate lateral area of the cone is equal to 200.96 cm².
How to calculate the lateral area of the cone?Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:
Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)
Where
l represents the slant height of the cone.r represents the radius of the cone.h represents the height of the cone.How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area of a circular base = πr²
16π = πr²
Radius, r = √16
Radius, r = 4 cm.
Substituting the given parameters into the lateral area of a cone formula, we have the following;
Lateral surface area of a cone, LSA = πrl = πr4(r)
Lateral surface area of a cone, LSA = 3.14 × 4 × 16
Lateral surface area of a cone, LSA = 200.96 cm².
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Answer:
201 beause you are rounding to the nearest whole number
Step-by-step explanation:
Find the reference angle
The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12
Finding the reference anglesFrom the question, we have the following parameters that can be used in our computation:
Angle = -320
The reference angle is caculated as
Reference = 360 + Angle
So, we have
Reference = 360 - 320
Evaluate
Reference = 40
For the other angle, we have
θ = 19π/12
The above angle is in the fourth quadrant
So, we subtract it from 2π to calculate the reference angle
Using the above as a guide, we have the following:
Reference angle = 2π - 19π/12
Evaluate the difference
Reference angle = 5π/12
Hence, the reference angle is 5π/12
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lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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What the meaning of statement this?
The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.
The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.
In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.
The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.
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He buys atoy car for 150 the sells it for $120find his percentage loss
Answer: 80%
Step-by-step explanation:
divide 120 by 150 and you get .8 then you move the decimal over 2
What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.
Find the equation (in terms of x) of the line through the points (-2,-3) and (4,-1)
Answer:
y = 1/3x - 7/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-3) / 4 - (-2)
2/6
= 1/3
y = 1/3x + b
-1 = 1/3(4) + b
-1 = 4/3 + b
-7/3 = b
Please help me with this and also tell me the scale factor
Figure DEFG is congruent to figure WXYZ because rigid motions can be used to map Figure DEFG onto Figure WXYZ.
What are the possible transformations?Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.Congruence is only lost in the case of a dilation, as the equivalent side lengths will have different measures due to the multiplication.
For this problem, we have that DE = XW, hence there was no dilation and thus the figures are congruent.
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X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%
Answer: The tax would be $6.75.
toby buys a new mp3 player for the price of 45.5. what is the total amount his credit card is charged if the sales tax is 7%
Is the range a subset or a proper subset of the codomain?
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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help needed TIMED
Will give brainlliest
Answer:
the answer is 90%
Hope this helps! Good luck
The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -1, -5, -9, ...?
an = -1 + 4( n - 1)
an = -1 + (-4)( n - 1)
an = 4 + (-1)( n - 1)
an = -4 + (-1)( n - 1)
Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.