Answers
The value of 'a' in each parallelogram are,
1) a = 38
2) a = 15
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We know that;
In a parallelogram; the opposite angles are equal to each other.
So, By first figure;
We get;
⇒ 3a° = 114°
⇒ a = 114 / 3
⇒ a = 38
And, For second figure;
We get;
⇒ 40° = (3a - 5)°
Solve for a;
⇒ 40 = 3a - 5
⇒ 40 + 5 = 3a
⇒ 45 = 3a
⇒ 3a = 45
⇒ a = 45/3
⇒ a = 15
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Related Questions
15 weavers can weave some length of cloth in 1 hr 24 minutes how many more weavers will be required to do the same job in 60 minutes
Answers
First, we need to convert the time of 1 hour and 24 minutes into minutes. Since there are 60 minutes in an hour, 1 hour and 24 minutes is equivalent to 1 * 60 + 24 = 84 minutes.
Now we can find out how much cloth 15 weavers can weave in 60 minutes by dividing the cloth length woven in 84 minutes by 84 and then multiplying the result by 60.
Let's call the length of cloth "L"
L = (15 * 84) / 60 = 21
So, 15 weavers can weave 21 units of cloth in 60 minutes.
If we want to find out how many weavers will be required to do the same job in 60 minutes, we can divide the length of the cloth by the number of weavers.
15 weavers = 21 units of cloth
So, the number of weavers required to weave the same amount of cloth in 60 minutes is 21/15= 1.4
So, 1 more weaver will be required to do the same job in 60 minutes.
Find the coordinates of the orthocenter of angle XYZ with vertices X(-3, 3), Y(9, 3), and Z(1, -5).
The coordinates of the orthocenter are(__,__)
Answers
Answer:
The orthocenter of a triangle is the intersection point of the three altitudes of the triangle.
An altitude of a triangle is a line that goes from one vertex of the triangle to the opposite side, and is perpendicular to that side.
To find the orthocenter of a triangle, we can find the equation of each altitude by using the slope-point form.
The slope of the altitude from vertex X to side YZ is the negative reciprocal of the slope of line YZ.
The slope of line YZ is (3 - (-5)) / (9 - 1) = 8/8 =1
So the slope of the altitude from vertex X is -1
The equation of this altitude is y = -1x + b
We know that this line passes through the point X (-3, 3) so we can substitute this point in the equation and find the value of b
3 = -1(-3) + b
b = 6
So the equation of this altitude is y = -1x + 6
The orthocenter of angle XYZ is the point that is common to all three altitudes, we can find this point by finding the intersection point of all three altitudes.
So the coordinates of the orthocenter of angle XYZ are (1, -1)
Find the lateral surface area and total surface area of the following triangular prism.
Answers
The lateral surface area and total surface area of the given triangular prism are 252cm² and 348 cm² respectively.
What is lateral surface?The entirety of an object's sides, excluding its base and top, are referred to as the lateral surface. The size of the lateral surface is referred to as the lateral surface area. The total surface area, which includes the lateral surface area as well as the areas at the base and top, should be distinguished from this.
Total surface area of this prism = 3 × l × b + 2 × h × b
= 3 × 14 × 6 + 2 × 8 × 6
= 348 cm²
And lateral surface area = 3 × l × b
= 3 × 14 × 6
= 252cm²
Thus, the lateral surface area and total surface area of the given triangular prism are 252cm² and 348 cm² respectively.
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In the space at the right, draw, a rectangle use an algebraic expression to label the length of each slide right in expression of the perimeter
of triangle, and simplify that expression.
Answers
The perimeter of the triangle is,
⇒ P = (4x + 9)
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The figure of triangle is shown.
All the sides are,
⇒ AB = x + 1
⇒ BC = x + 3
⇒ CA = 2x + 5
Now, Remember that the perimeter is the sum of all sides of a figure, so in this case would be;
⇒ P = (x + 1) + (x + 3) + (2x + 5)
= 4x + 9
Thus, The simplified expression of the perimeter is,
⇒ P = (4x + 9)
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Help please it’s due soon
Answers
Answer: 729
Step-by-step explanation:
3 × 3 × 3 × 3 × 3 × 3 = 729.
find a solution y = 3 x − 4
Answers
Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.
For example, if we let x = 2, we can substitute it into the equation:
y = 3(2) - 4 = 6
So the solution for x=2 is y=6
We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)
Step-by-step explanation:
(Look at picture) ty btw :)!!!!! <3
Answers
By simplifying 8 to 23 to make both powers base two and subtracting the exponents.
Explain how the Quotient of Powers property was used to simplify this expression?The Quotient of Powers property is used to simplify an expression with two powers, or exponents, that have the same base. To simplify this expression, first find the quotient of the bases.In this case, the bases of both powers are 8, so the quotient is 8/8 or 1. Then cancel out any common factors. 8/8 cancels out to 1, leaving the expression as 2^3/2^5.Next, simplify the expression further by making both powers have the same base. Since the base of the first power is two, we can simplify 8 to 23 to make the base of the second power two. This leaves us with 2^3/2^8.Finally, use the Quotient of Powers property to simplify the expression by subtracting the exponents. The subtraction results in 2^3-2^5, which simplifies to 2^-2. This is the simplified version of the expression.To learn more about the Quotient of Powers Property refer to:
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In the triangle below, ZC is a right angle. Suppose that m Z B=(2x+43)° and m Z D= (5x+5)°.
(a) Write an equation to find x. Make sure you use an "=" sign in your
D
(5x +5)
(2x+43)
Equation:
(b) Find the degree measure of each angle.
mZB=
m2c=
mZD=
0=0
X
Answers
Answer:
a) 7x + 48 = 90 which simplifies to 7x = 42
b) m∠B = 35°m m∠C = 90°, m∠D = 55°
Step-by-step explanation:
The three angles of a triangle add up to 180°
Therefore the sum of the measures of angles B, C and D should be 180
==> m∠B + m∠C + m∠d = 180
Since m∠C = 90,
m∠B + 90 + m∠D = 180
m∠B + m∠D = 180 - 90 = 90
Since m∠B = (2x+43)° and m∠D = (5x+5)°.
(2x + 43) + (5x + 5) = 90
==> 7x + 48 = 90
==> 7x = 90 - 48 = 42
==> x = 42/7 = 6
b)
m∠B = 5 x 6 + 5 = 35°
m∠C = 90°
m∠D = 2 x 6 + 43 = 12 + 43 = 55°
Amanda Is sure she got the highest score on a video game but she’s not sure what the number is please write it down for her using base 10 number she scored 943,261,568
Answers
Answer:
You can do this on your own
Step-by-step explanation:
Knowing this, we know that 10 is like 0.0299% of 943M sO do this on your own!
Information from a Problem card and a Data card are shown. There is
not enough information on the Data card to solve the problem.
Problem card
Priya wants to make a purple paint by
mixing blue paint and red paint.
She wants to use all of the blue paint
she has left. How much red paint will
she have left, if any?
.
.
·
Data card
The directions for purple paint say,
"Mix 2 ml blue with 5 mil red."
She has 20 ml of blue paint.
There are 1,000 ml in a liter.
1. What information - that is not on the data card - do you need to
solve this problem?
Answers
To solve this problem, we need to know how much red paint Priya has. This information is not on the data card, so we need to know the amount of red paint Priya has in order to solve the problem.
What is amount?Amount is a numerical value that can refer to the quantity of a particular item or resource. It can also refer to the sum of money due or owed for a product or service. In the context of mathematics, amount is often used to refer to a quantity, a measure, or a total. Amount can also be used to refer to the total value of a particular asset, such as a bank account or the total number of shares of a particular stock.
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Which expression is equivalent to
Answers
According to the solving we can say that the given expression is equivalent to = [tex]3f^3/g^2[/tex].
What are the comparable expressions?Expressions that seem different but perform the same way are referred to as equivalent expressions. If two algebraic expressions were equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).
How are equivalent expressions known?If two expressions could be written similarly or can be combined into a single, simpler phrase, then those two expressions are comparable. Additionally, you can tell if two expressions are equal if you substitute values for the variable in both and they get the same result.
According to the given information:√(900f⁶/100g⁴)
on simplifying this we get:
√(9f⁶/1g⁴)
Now removing the roots of the given expression we get:
= [tex]3f^3/g^2[/tex].
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a pair of runners costs $240. suppose you wear them every day for two years.
a) how much does it cost per month to have these runners?
b) compare the value of these runners to another pair that costs $168, but lasts only for one and two months which is better value
Answers
Answer: a) $10 per month b) the original runners
Step-by-step explanation: A) since runners cost $240, and you used them for a total of 2 years, which is 24 months. This means they cost 240/24 = $10 per month
b) The other pair costs $168 but you only have them for 2 months so they cost 168/2 = $84 per month which are more expensive.
Please help! I’m so confused
Answers
Answer:
(0,0) 3rd
(1,5) 1st
(6,30) 1st
5 feet: 1 second
A two digit number is 3 more than 3 times the sum of its digits. The tens digit is 6 less than the units digit, If t= the tens digit and u = the units digit, which system must be true?
A. t - u=6
10t + u =3t + u - 3
B. t = u - 6
10t + u = 3t + u - 3
C. t - u = 6
10t + u =3( t + u ) - 3
D. t = u - 6
10t + u = 3( t + u ) + 3
Answers
Answer:
D.
Step-by-step explanation:
t = tens digit
u = units digit
"A two digit number is 3 more than 3 times the sum of its digits."
10t + u = 3(t + u) + 3
"The tens digit is 6 less than the units digit."
t = u - 6
System of equations:
10t + u = 3(t + u) + 3
t = u - 6
Answer: D.
Ans D
The 2- digit number can be represented as 10t+u.
Given tens digit is 6 less than units digit. So t = u - 6. -----(1)
The number is 3more than 3 times the sum of its digit.
Sum of digits = t+u
So
10t+u = 3+[3(t+u)] ---------(2)
EASY POINTS!
Over the years, separate teams of scientists have been tracking and studying different
bird species in Africa. They want to know if certain bird populations have been
increasing or decreasing over time. For 8 years, one team of scientists has tracked the
African Fish Eagle. When their research began, there were 32,800 African Fish Eagles in
Africa. Today, there are 43,952 African Fish Eagles living in Africa. Meanwhile, another
team of scientists have been tracking the Tawny Eagle. Over the last 8 years, the
population of Tawny eagles went from 7,900 to 10,981. Which eagle species saw a
larger percent increase to their population over the last 8 years?
Answers
The percentage increase of Tawny Eagles 39 % during the research is higher than the African Fish Eagle 34 %
What is Percentage Error?The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage increase of African Fish Eagle be represented as P
Let the percentage increase of Tawny Eagles be represented as Q
The initial population of African Fish Eagle = 32,800
The final population of African Fish Eagle = 43,952
The percentage increase in population = [( 43952 - 32800 ) / 32800] x 100
On simplifying the equation , we get
The percentage increase in population P = 0.34 x 100 = 34 %
And ,
The initial population of Tawny Eagles = 7,900
The final population of Tawny Eagles = 10,981
The percentage increase in population = [( 10,981 - 7,900) / 7,900 ] x 100
On simplifying the equation , we get
The percentage increase in population Q = 0.39 x 100 = 39 %
Hence , the percentage increase of population of Tawny Eagles is higher
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C={-9,-6, -3, 3, 6, 9} by using set building method.
Answers
Answer:
Step-by-step explanation:
In the set-builder notation, the set C that contains the elements {-9, -6, -3, 3, 6, 9} can be written as:
C = {x | x ∈ Z and x ∈ {-9, -6, -3, 3, 6, 9}}
where "x" is a variable, "Z" represents the set of integers, and the expression "x ∈ {-9, -6, -3, 3, 6, 9}" specifies that x can only take on the values of -9, -6, -3, 3, 6, or 9.
Alternatively, we can write it as:
C = {-9, -6, -3, 3, 6, 9}
This notation is used to express a set of elements that have a common property or belong to a specific category, it makes it easy to understand and to read what the set consists of.
6. Mini muffins cost $3.00 per dozen. • Andre says, “I have $2.00, so I can afford 8 muffins.” • Elena says, “I want to get 16 muffins, so I’ll need to pay $4.00.” Do you agree with either of them? Explain your reasoning.
Answers
Answer: I agree with both of them
Step-by-step explanation:
A dozen is 12
And a dozen cost $3.00,
To get how many mini muffins they can get for$1.00= 12/3 =4 mini muffins
Andre has $2.00 =2*4=8 he can get 8 mini muffins.
Elena wants 16 mini muffins.
She'll need $4.00
=16/4= $4.00
Help
Select all the possible first steps you could perform to solve the equation 25.4-3.2x=-90.3
Answers
Divide all the terms in the equation with 3.2 for resulting equation 7.9375 -x = -28.21875, and
Subtract 25.4 from each side of the equation to write the equivalent equation as 3.2x = -115.7
What is an equation ?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.
The equation is
25.4 - 3.2x = - 90.3
The 1st step can be
Divide all the terms in the equation with 3.2 for resulting equation 7.9375 -x = -28.21875, and
Subtract 25.4 from each side of the equation to write the equivalent equation as 3.2x = -115.7
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A bookshelf contains 5 cookbooks, 4 novels, 6 picture books, and 1 dictionary. A book is randomly selected. When finding the probability of the book being a novel or a dictionary, identify the compound events.
Answers
The probability of the book picking at random is a novel or a dictionary is 1/8.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Bookshelf:
5 cookbooks, 4 novels, 6 picture books, and 1 dictionary.
Total number of books = 5 + 4 + 6 + 1 = 16
The probability of picking a novel.
= 1/16
The probability of picking a dictionary.
= 1/16
The probability of the book picking at random is a novel or a dictionary.
= 1/16 + 1/16
= 2/16
= 1/8
Thus,
The probability is 1/18.
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S Desktop
S Lesson 6-4- Practice & Extra Pra: x +
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Question 14 OT ZU V
Question 14
A jug has gallon of water inside it. How many pints of water are in the jug?
pints
Answers
A jug has gallon of water inside it. 8 pints of water are in the jug.
What is meant by gallon?
In both imperial and US customary units, the gallon is a unit of volume.The imperial gallon, which has a definition of 4.54609 liters and is or was used in various Caribbean nations as well as the United Kingdom, Ireland, Canada, Australia, and New Zealand.The US gallon, which is used in the US and several nations in Latin America and the Caribbean, is defined as 3.785411784 L.18 US bushel is the definition of a US dry gallon.A gallon contains four quarts and two pints respectively.The differences between imperial and US gallons are explained by variations in pint sizes.The US gallon and imperial gallons have the same IEEE standard symbol, gal, which should not be confused with the gal, a CGS unit of acceleration.To learn more about gallon refer to
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Julie went to the post office and bought both $0.41 stamps and $0.26 postcards for her office's bills. She spent $47.30. The number of stamps was 10 more than twice the number of postcards. How many of each did she buy?
Answers
Julie went to the post office to buy 90 stamps and 40 postcards
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Let x represent the number of stamps and y represent the postcards.
Julie went to the post office and bought both $0.41 stamps and $0.26 postcards for her office's bills. She spent $47.30, hence:
0.41x + 0.26y = 47.30 (1)
Also, The number of stamps was 10 more than twice the number of postcards:
x = 10 + 2y
x - 2y = 10 (2)
From both equations:
x = 90, y = 40
90 stamps and 40 postcards were bought
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The width of a rectangle is 4 2/3cm. If the rectangle is twice as long as it is wide what is the area of the rectangle
Answers
8 4/3
Hello sorry i dont have explanation
PLEASE HELP ME PLEASE
Answers
Answer:
Step-by-step explanation: the answer would be C because if you have 10 gallons in your car and then use the ten gallons you have 0 gallons left with combines to make 0
Answer: Option C
Step-by-step explanation:
Person below explained it well
√26 in exponential form.
Answers
0.5 is the exponential form, the exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.
What is 26's simplified square root?5.099 divided by 26 is the square root.
The exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.
When a number is written in exponential notation, it is often stated as a coefficient between 1 and 10 times the exponent, which is an integral power of 10. If you want to write a number in exponential notation, you should do it in the format: c 10n, where c is an integer and n is a number between 1 and 10 (for example, 1, 2.5, 6.3, 9.8). (e.g. 1, -3, 6, -2).
0.5 is the exponential form,the exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.
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Audrey and Lauren began reading a novel on the same day. Audrey reads 15 pages a day and Lauren reads 5 pages a day. If Audrey is on page 45, on what page is Lauren?
Answers
If Audrey is on page 75, then Lauren is on page 25.
What is ratio and proportion?It is the comparison of two quantities of the same kind is called ratio.
It is an equation in which two ratios are equal is proportions
Given;
Audrey reads 15 pages a day and Lauren reads 5 pages a day.
So, the ratio of number of pages for Audrey and Lauren would be;
15 : 5
Let 'n' be the number of pages Lauren read when Audrey is on page 75.
Now, the ratio of number of pages would be;
75 : n
Here, both the ratios are in proportion;
15/5=75/n
15x n= 75x5
n=25
Therefore, Lauren is on page number 25.
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the dollar amount the club would have if half of the students at the school each gave 50 cents
Answers
Answer:
The question is incomplete, but the answer would just be 0.50 times the amount of students. Hope this helps.
Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you.
Answers
Composite figures are made up of several different shapes. Calculating the combined areas of the different shapes allows one to compute the area of composite figures.
How to area of composite figures?
1. Identify all of the individual shapes and label them.
2. Calculate the area of each individual shape.
3. Add the areas together to get the total area of the composite figure.
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Jane got a good deal on her new coat she bought her coat on sale as shown then use your coupon to further reduce the price which expression below shows how much she paid for the car originally selling for $126 
Answers
Answer:
Choice B
(0.75) (0.90) (126)
Step-by-step explanation:
Original price of coat = $126
First note that
25% ≡ 0.25 in decimal
10% ≡ 0.10 in decimal
If she gets 25% off then the discount is 0.25(126)
The coat would then cost her 126-(0.25)(126) = 126(1-0.25) = (0.75)126
(In general if there is a discount of d% where r = d/100 on sale price of S then the new price would be S(1-r))
On this discounted price she gets an additional 10%(0.10) off.
This means the already discounted price is reduced to 0.9 of its value
So the final discounted price is (0.90[126(0.75]
or (0.90)(0.75)(126)
which can be rewritten as
(0.75) (0.90) (126)
and corresponds to choice B
The other choices can be eliminated easily
A. Here the 10% discount is applied to the original price 126 not the discounted price
C. This is the total discount not the final price
D. This is attempting to find the final price but again the discount of 10% is being applied to 126
E. Does not make any sense. 0.25 x 0.10 = 0.025 and 126 - 0.025 = $125.975 which is practically no discount
brandy and adriana work at an after-school childcare center. together they cared for 320 children this week. brandy cared for 7 times as many children as adriana. how many children did each girl care for?
part a: define the variables
part b: write a system of equations to represent the situation
part c: solve the system to find how many children each girl took care of
Answers
Using substitution method to solve the system of linear equations, Brandy took care of 280 children and Adriana took care of 40 children.
What is Word ProblemA word problem is a type of mathematical problem that is presented in a natural language text, rather than in mathematical notation. These problems are designed to test a person's ability to understand and apply mathematical concepts and skills to real-world situations. They often involve describing a scenario, such as a situation involving money, time, or measurements, and then asking a question or series of questions about the scenario.
In this problem, we need to write equations to set up the variables.
a)
Let;
x = brandyy = Adrianab)
x + y = 320 ...eq(i)
x = 7y ..eq(ii)
c)
Put equation (ii) into equation (i)
7y + y = 320
8y = 320
y = 40
Put y = 40 in equation (ii)
x = 7(40)
x = 280
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Find 36.3% of 333. Round to the nearest hundredth.