Answers
The angle amount of m is 128⁰
What is meant by an angle?Angle can also refer to the length of a rotation or an angle. The Greek word , which means "crooked, curled," and the English word "ankle," are related words. Both stem from the Proto-Indo-European root which means "to bend" or "bow," in some way.
A plane angle, according to Euclid, is the inclination to each other of two intersecting lines in a plane that are not perpendicular to one another. Proclus asserts that an angle must be either a quality, a number, or a connection. Eudemus used the first idea, viewing an angle as a departure from a straight line; Carpus of Antioch used the second idea, viewing an angle as the distance or space between intersecting lines; and Euclid used the third idea. Vertical angles, opposing angles, or vertically opposite angles refer to a pair of angles that are directly across from one another and are created by two straight lines meeting to form a "X". Vert is the shorthand for them. opp.
The vertical angle theorem states that angles that are vertically opposing are equal. The assertion shown that since both of a pair of vertical angles are supplementary to both of the neighboring angles, the vertical angles are equal in measure, according to Eudemus of Rhodes' attribution of the proof to Thales of Miletus. When Thales visited Egypt, it is recorded in history[9] that he noticed the Egyptians measuring the vertical angles whenever two intersecting lines were drawn to ensure that they were equal. Thales came to the conclusion that one might establish
4x+6=7x-21
3x=27
x=9
x+x+42+42=360
2x+84=360
x=128⁰
Therefore, the angle amount of m is 128⁰
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Related Questions
a study is designed to test whether there is a relationship between natural hair colors and eye colors. if a significant chi-square value is obtained, this suggests that:
Answers
Using the concepts of hypothesis test, we got that something is happening that wasn’t accounted for as a result when a significant chi-square value is obtained.
A chi-squared test (symbolically represented as χ2) is basically the data analysis on the basis of the observations of a random set of variables. Usually, it is the comparison of two statistical data sets. This test was introduced by Karl Pearson in the 1900 for categorical data analysis and distribution. So it was mentioned as a Pearson’s chi-squared test.
The chi-square test is actually used to estimate how likely the observations that are made would be, by considering assumption of the null hypothesis as true.
Hence, a study is designed to test whether there is a relationship between natural hair colors and eye colors, in that case if a significant chi-square value is obtained it suggests that something is happening that wasn’t accounted for .
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If tan(A+B) = -4 and tan B=5/3, find tan A.
Answers
The value of tan A = 1
What are trigonometric ratios?Trigonometric ratios are the ratios of sides of a right-angle triangle. The six trigonometric ratios of a right angle triangle are Sin, Cos, Tan, Cosec, sec and cot.
The trigonometric ratios relate the sides of the triangle with the angles of the triangle.
tan(A+B) = -4, tan B = 5/3
But tan(A + B) = [tex]\frac{tan A + tanB}{1-tanAtanB}[/tex]
Substituting the values of tan(A +B) tan B
-4 = [tex]\frac{tan A + 5/3}{1 - 5/3tanA}[/tex]
multiply numerator and denominator by 3, you have
-4 = [tex]\frac{3tanA + 5}{3 -5tanA}[/tex]
-4(3-5tanA) = 3tanA +5
-12 +20tanA = 3tanA +5
collect like terms
20tanA - 3tanA = 5 +12
17tanA = 17
tan A = 17/17
tanA = 1
In conclusion, the value of tanA = 1
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An elevator ascends at a rate of 29.6 feet per second. If a building is 1,450 feet tall, about how long would it take for the elevator to travel from the ground floor to the roof?
A. 0.49 minutes
B. 0.82 minutes
C. 4.9 minutes
D. 8.2 minutes
Answers
Complete the statement. Round to the nearest hundredth if necessary.
64 lb kg
Answers
Answer: you are dummy
Step-by-step explanation:dummy
Between his 9th and 10th birthdays jimmy read one book each week there are 52 weeks in a year if each book at about 95 pages about how many pages did he read during the year?
Answers
Answer:
he read 4940 pages in a year
Step-by-step explanation:
Given data:
1 year= 52 weeks
1 book= 95pages (takes 1 week to complete)
for 1 year = 52x95
=4940
How do you write 5 11/16 and 7 24/25 as a decimal?
Answers
Answer:
5 11/16 as a decimal = 5.6875
7 24/25 as a decimal is 7.96
Step-by-step explanation:
Answer:
5 11/16 = 5.6875
7 24/25 = 7.97
Step-by-step explanation:
you keep the whole numbers then you turn the fractions into decimals so to do that you divide 100 by the denominator and whatever the answer is you multiply it by the numerator to get your answer, 100 divided by 16 is 6.25 and 6.25 multiplied by 11 is 68.75 but since the 5 is already the whole number you basically just forget the decimal in 68.75 ( I hope that makes sense)
And for 7 24/25 you do 100 divided by 25 and that’s 4 so now you multiply 24 by 4 and that’s 96 so that goes after the decimal so it’s 7.96 (I hope that helped and all made sense.)
Deandre is studying metals. He finds out that the ratio of chromium to nickel in stainless steel is 9 to 4.
Deandre adds 27 pounds of chromium and 12 pounds of nickel to his forge. Did he add the metals correctly
(is this a proportional relationship)? Show your work
Answers
9:4 27:12 27/9=3 12/4=3 3=3
An isosceles right triangle has a hypotenuse length that can be modeled with the function . the combined length of the legs can be modeled with the function l(x) = 2x. which function, p(x), can be used to find the perimeter of the triangle?
Answers
The perimeter of the isosceles triangle will be P(x) = x√2 + 2x.
A polygon with three sides is known as a triangle. The angles of a triangle add up to form 180° and the sum of all sides of a triangle is known as the perimeter. In an isosceles triangle, the two sides are equal and their opposite angle too. In an isosceles triangle, the hypotenuse side of the triangle can be written as h(x) = x√2. The combined length comes out to be L(x) = 2x. Using this information the perimeter of the triangle comes out to be,
P(x) = h(x) + L(x).
P(x) = x√2 + 2x
Hence the perimeter of the triangle comes out to be P(x) = x√2 + 2x
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Sweet Lucy’s ice cream shop offers customers 2 different types of cones, 5 different flavors of ice cream, and 6 different toppings. Assuming a customer picks one type of cone, one flavor of ice cream, and one topping only, how many different combinations of cone, ice cream, and topping are possible?
Answers
60 different combinations of cone, ice cream, and topping are possible.
What is combination?The combination is defined as an arrangement of objects where the order in which the objects are selected does not matter.
Given that, an ice cream shop offers customers 2 different types of cones, 5 different flavours of ice cream, and 6 different toppings
Total combination = 2*5*6 = 60
Hence, there are 60 different combinations of cone, ice cream, and topping are possible.
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The radius of a circle is 15 inches. What is
the circumference of the circle? Write
your answer using T.
Answers
Answer:
C = 30pi inches
Step-by-step explanation:
The radius is 15 inches (said so in the question)
The diameter is 30 inches (The diameter is twice the radius)
The circumference is
C = pi•d
C = pi•30
C = 30pi
The circumference is 30pi inches.
Two integers, a and b, have different signs. They absolute value of integer a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if she product of the integers is greater than or less than the quotient of the integers. Show your work.
Answers
Answer:
Step-by-step explanation:
One example is a=-6 and b=3
-6/3=-2
-6*3=-18
-2 is greater than -18; the quotient is greater than the product in this case.
Another example is a=6 and b=3
6/3=2
6*3=18
2 is smaller than 18; the quotient is smaller than the product in this case.
What are some ways we have learned to solve percent increase or percent decrease problems? How are these ways related to one another?
Answers
The different ways of solving percent increase or percent decrease problems has been described below
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
One way to solve the percentage increase or decrease problem is by multiplying the original number by the percentage given and then adding the result with the original number.
Another method is by multiplier method
Here, the original number is taken as 1 and the given percentage has to be converted to decimal and then 1 and the percentage obtained as decimal is added or subtracted. The result obtained has to be multiplied by the original number to get the required number after increase or decrease
For the first method
Suppose the number is n and it is increased by p%
Required result is
[tex]n + \frac{p}{100}\times n\\n( 1 + \frac{p}{100})[/tex]
For the second method
Suppose the number is n and it is increased by p%
Here n is taken as 1 and p% is converted to decimal
then 1 and p% in decimal form is added
we get (1 + 0._p)
Now the result is obtained is multiplied by n
Required result is
n(1 + 0._p)
[tex]n(1 + \frac{p}{100})[/tex]
In this way the two methods are related
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⦁ The function p (w) = 230(1.1)w represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period. 10 points
⦁ During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
⦁ Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
⦁ When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
you will get 10 points
Answers
The increasing exponential functions are described as follows:
f(t) = a(1 + r)^t.
In which the parameters are listed as follows:
a is the initial value.r is the growth rate.For the old factory, the function is of:
p (w) = 230(1.1)^w.
Hence:
During week 0, 230 items are produced.The growth rate is of 10%.For the new factory, from the graph given at the end of the answer, the parameters are given as follows:
a = 190, which is the intercept.b = 1.1578, as 220/190 = 1.1578.Hence the function is:
pn(w) = 190(1.1578)^w.
The new factory overtakes the old factory when:
pn(w) > p(w)
190(1.1578)^w > 230(1.1)^w
(1.1578/1.1)^w > 230/190
wlog(1.1578/1.1) > log(230/190)
w > log(230/190)/log(1.1578/1.1)
w > 3.73 weeks.
Missing InformationThe graph for the second factory is given by the image presented at the end of the answer.
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to test whether the overall regression equation is statistically significant one uses a. the r2-statistic. b. the standard error statistic. c. the f-statistic. d. the t-statistic.
Answers
One can use the f-statistic to test whether the overall regression equation is statistically significant, one uses the f-statistic.
A reasonably high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.
The ratio of two variances is known as an F-statistic, and it bears Sir Ronald Fisher's name. Variances gauge how widely apart the data points are from the mean. When the individual data points tend to deviate further from the mean, there are more variances.
The F-test determines that it is unlikely that all of the coefficients will equal zero by adding the predictive power of all independent variables. But it's likely that none of the variables are individually important enough to be statistically significant.
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(b) Work out the value of (2.3 × 10³) × (5.9 × 105)
Give your answer in standard form.
Answers
Answer: 1424850
Step-by-step explanation:
2.3 x 10³ = 2300
5.9 x 105 = 619.5
2300 x 619.5 = 1424850
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snoopy brown is interested in the number of businesses that do not allow dogs in st. paul, mn. to conduct his study, he randomly selects 100 businesses listed in the st. paul phone book, calls them and asks their policy. what is the sample of this study?
Answers
The sample of study is 100 business.
Define sample.An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.
Given,
Snoopy brown is interested in the number of businesses that do not allow dogs in st. paul, mn. to conduct his study, he randomly selects 100 businesses listed in the st. paul phone book, calls them and asks their policy.
The sample of study is 100 business.
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Please someone help me. Number 7 and 8. Thank you.
Answers
7. The composite functions are given as follows:
a. f(g(x)) = [tex]\frac{3x}{-x^2 + 3x - 1}[/tex].
b. g(f(x)) = [tex]\frac{3x(x - 1)}{9x^2 + x - 1}[/tex]
c. (f(g(3)) = -9.
8. The inverse function is given as follows:
[tex]f^{-1}(x) = \frac{4 + x}{3 - x}[/tex]
How to obtain the composite function?The composite functions are obtained using the inner function as the input to the outer function.
In this problem, the functions are defined as follows:
f(x) = x/(x - 1).g(x) = 3x/(x² + 1).The composite of f and g is:
[tex]f(g(x)) = f\left(\frac{3x}{x^2 + 1}\right) = \frac{\frac{3x}{x^2+1}}{\frac{3x}{x^2+1} - 1} = \frac{\frac{3x}{x^2+1}}{\frac{-x^2 + 3x - 1}{x^2 + 1}} = \frac{3x}{-x^2 + 3x - 1}[/tex]
At x = 3, the numeric value of the composite function is given as follows:
f(g(3)) = 9/(-9 + 9 - 1) = -9.
The composite function of g and f is given as follows:
[tex]g(f(x)) = g\left(\frac{x}{x - 1}\right) = \frac{\frac{3x}{x - 1}}{\left(\frac{3x}{x - 1}\right)^2 + 1} = \frac{3x}{x - 1} \times \frac{(x - 1)^2}{9x^2 + x - 1} = \frac{3x(x - 1)}{9x^2 + x - 1}[/tex]
Inverse functionThe function is given as follows:
y = (3x + 4)/(x - 1)
The find the inverse, the variables x and y are exchanged, and then y is isolated, as follows:
x = (3y + 4)(y - 1)
xy - x = 3y + 4
3y - xy = 4 + x
y(3 - x) = 4 + x
y = (4 + x)/(3 - x)
[tex]f^{-1}(x) = \frac{4 + x}{3 - x}[/tex]
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2.8x + 10 + 5.7x = 70+x
Answers
Answer:
Step-by-step explanation a=0.32
The required simplified value of x in the given expression is 8.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
2.8x + 10 + 5.7x = 70+x
Simplifying,
8.5x + 10 = 70 + x
8.5x - x = 70 - 10
7.5x = 60
x = 60 / 7.5
x = 8
Thus, the required simplified value of x in the given expression is 8.
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Solve for x:-
[tex]\sf -10 + x + 4 - 5 = 7x - 5[/tex]
Answers
Answer:
x = -1
Step-by-step explanation:
Now we have to,
→ find the required value of x.
The equation is,
→ -10 + x + 4 - 5 = 7x - 5
Then the value of x will be,
→ -10 + x + 4 - 5 = 7x - 5
→ -11 + x = 7x - 5
→ 7x - x = -11 + 5
→ 6x = -6
→ x = -6/6
→ [ x = -1 ]
Hence, the value of x is -1.
¯2(*3+¯4+¯8+*7).
Please help asap
Answers
Answer:-2(3+(-4)+(-8)*7)=114
Step-by-step explanation: You wrote the equation wrong, but if you use PEMDAS that's the answer you'll get.
22. A train travels 3 hours at 20km per
hour. How long will it take another
train to travel the same distance at
10km per hour?
(a) 6²/³ hours
(b) 6¹/2hours
(c) 6 hours
(d) 3 hours
(e) 2 hours
ans
Answers
6 hours will it take another train to travel the same distance .
What is speed?
Speed indicates the rate of movement of something or someone. If you know the distance traveled and the time it took, you may calculate an object's average speed. Speed is calculated as distance times speed.Average speed = Total distance/Total time
A train travels 3 hours at 20km per hour.
train travels 20 km in 1 hours.
then in 3 hours train travels = 3 * 20 = 60 km
total speed = 10 km/hr
t = distance/speed
= 60/10 = 6 hours
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Replace the star astrict (*) with a digit that allows you to reduce the fraction. If there are two * in the same fraction, replace them with the same digit. Find all possible values of * in each fraction. This is the one that I got stumped in...
12*/23* This is a fraction. Fill it in. Remember, you have to fill it in, so it can get reduced.
Please answer by 3:00PM Pacific time Sunday november 6th 2022
Answers
The star asterisk in the fraction 12*/23* is being replaced by all the possible values as outlined
1 to be 11/21
2 to be 61/116
4 to be 62/117
5 to be 25/47
6 to be 63/118
8 to be 64/119
0 to be 12/23
What are fractions?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a chunk or section taken from a whole, which can be any number, and can represent any amount.
The fractions with different numerators and denominators when compared with another fraction but the same value with the fraction are said to be equivalent fractions.
The asterisk value is replaced with digit in each case, and the fraction formed is reduced to their equivalent forms as below
12*/23* * replaced by 1 and reduced to be 11/21
12*/23* * replaced by 2 and reduced to be 61/116
12*/23* * replaced by 4 and reduced to be 62/117
12*/23* * replaced by 5 and reduced to be 25/47
12*/23* * replaced by 6 and reduced to be 63/118
12*/23* * replaced by 8 and reduced to be 64/119
12*/23* * replaced by 0 and reduced to be 12/23
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sally purchases some apples and oranges for $5.25. oranges cost 51 cents each and apples costs 42 cents each. sally purchased 11 pieces of fruit in total. how many oranges did sally purchase? g
Answers
Sally purchased 7 pieces of orange .
Conversion applied :
1 dollar = 100 cents
Cost of 1 piece of orange = 51 cents
Cost of 1 piece of apple = 42 cents
Let pieces of orange purchased be x .
⇒ pieces of apples purchased = 11 - x .
The following linear equation becomes ,
51 x + 42 ( 11 - x ) = 5.25 * 100
Solving linear equation in 1 variable given above ,
9 x = 63
x = 7
⇒ no. of oranges purchased = 7
Therefore Sally purchased 7 pieces of orange .
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Each of PQ and RS represents a 2-digit number. Different letter represent different digits, chosen from 6, 7, 8 and 9. What is the greatest product that PQx RS can have?
Answers
The greatest product that PQ x RS can have: 96 * 87 = 8352
In this question, we have been given PQ and RS represents a 2-digit numbers. Different letter represent different digits, chosen from 6, 7, 8 and 9
We need to find the greatest product that PQ x RS can have.
Consider P = 9, Q = 6, R = 8 and S = 7
So the two digit numbers would be,
PQ = 96 and RS = 87
PQ x RS
= 96 * 87
= 8352
Therefore, the greatest product that PQ x RS can have: 96 * 87 = 8352
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some pennies are arranged in rows. the number of pennies in each row is the same as the number of rows. after 10 pennies are removed, the remaining pennies can be arranged into 2 fewer rows, but with 1 additional penny in each row. how many pennies were there originally?
Answers
Answer:
22
Step-by-step explanation:
1. which of these variables are discrete and which are continuous random variables? (a) the number of new accounts established by a salesperson in a year. (b) the time between customer arrivals at a bank atm. (c) the number of customers at big nick's barber shop. (d) the amount of fuel in your car's gas tank. (e) the number of minorities on a jury. (f) the outside temperature today.
Answers
The discrete and continuous random variables are-
a) Discrete; (b) Continuous; (c) Discrete; (d) Continuous; (e) Discrete; (f) Continuous
Define the term discrete and continuous random variables?Discrete variables are those whose values may be measured through counting. Contrarily, random variables which it reflect something are designated continuous variables.(a) So because number of new accounts is counted, (a) discrete (like, non-negative integers).
(b) Continuous, given that the interval between customer arrivals may have decimal values (like 2.9 minutes or 27.75 seconds).
(c) Because the quantity of clients is counted, (c) discrete (like, non-negative integers).
(d) Continuous, as the fuel consumption can have decimal values (like 15.5 gallons).
(e) Since this number of minorities is counted, (e) discrete (like, non-negative integers).
(f) Continuous since the outdoor temperature can be expressed in decimal degrees (e.g., 7.78 C).
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how many cards must be selected from the standard 52 deck to guarantee that at least 3 cards of the same suit are chosen
Answers
Nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.
What is the pigeon-hole approach?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. For instance, if one possesses three gloves but none of them are ambidextrous or reversible, then there must be at least two right-handed gloves or at least two left-handed gloves since there are three items but only two categories of handedness. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.
The standard 52 deck has 4 suits of 13 cards each, thus as per n pigeons need to be extracted from p = 4 pigeon-holes; as per established literature above.
∴ [(n - 1) / p] + 1 = 3 ⇒ [(n - 1) / 4] + 1 = 3 ⇒ n - 1 = 8 ⇒ n = 8 + 1 ⇒ n = 9
Therefore, nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.
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Find g(x) if g(x) is the resulting function from moving f(x) = (x + 2) right 1 unit and up 6 units.
Answers
g(x) = (x+2-3) + 4 = (x-1)+4
Melissa's monthly budget is shown in
the table
Melissa's Budget
Category
Housing
Transportation
Clothing
Savings
Other
Amount
$1,200
$600
$250
$250
$825
What percentage of her total monthly
budget does she plan for savings?
Answers
8 percentage of her total monthly budget does she plan for savings.
Define percentage.The proportion of value in relation to the original value is measured using the percentage concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage. Additionally, it is used in schools and colleges to show the grades that pupils have earned. A percentage formula can be used to assess the pupils' grades. In general, the definition of a percentage is any ratio of a value to the total value multiplied by 100. The percentage is denoted by the sign %.
Given,
Melissa's monthly budget is shown in the table,
Melissa' s saving = $250
Total amount = 3125
Percentage = Value/ Total × 100
Percentage = 250/3125 × 100
Percentage = 0.08 × 100
Percentage = 8%
8 percentage of her total monthly budget does she plan for savings.
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2/7 x 2 1/4 write your answers in simpliest form
Answers
Answer:
the answer is 9/14
Step-by-step explanation:
2/7× 2 1/4 = 2/7× 9/4
= 2 × 9 / 7 × 4
= 18/28
= 9/14
