\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
x = 12°\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
\(\qquad❖ \: \sf \:2x + 6 + 5x + 90 = 180\)
[ by linear pair ]
\(\qquad❖ \: \sf \:7x + 6 = 180 - 90\)
\(\qquad❖ \: \sf \:7x + 6 = 90\)
\(\qquad❖ \: \sf \:7x = 90 - 6\)
\(\qquad❖ \: \sf \:7x = 84\)
\(\qquad❖ \: \sf \:x = 84 \div 7\)
\(\qquad❖ \: \sf \:x = 12\)
\( \qquad \large \sf {Conclusion} : \)
\(\qquad❖ \: \sf \:x = 12 \degree\)
PLS HURRY IM BEING TIMED
Answer:
option B
Step-by-step explanation:
First Quartile = 14
Find the perimeter of each figure
Answer: 53 ft
Step-by-step explanation:
The perimeter of a polygon is the sum of all sides. In this example, the sides are 4 ft, 20 ft, 18 ft, and 11 ft, so the perimeter is
4+20+18+11=53 ft
on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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City planners want to put in a new road that connects Brown Road, represented by the line on the coordinate grid, and the School, represented by the point (1,3) . If the new road is perpendicular to Brown Road, what would be the slope of the line that represents the new road?
The slope of the new road based on the information given is 0.
What is a slope of a line?A slope of a line is defined in mathematics as the change in y coordinate with respect to the change in the x coordinate. The net change in y-coordinate is denoted by Δy, while the net change in x-coordinate is denoted by Δx. Where "m" represents the slope of a line. As a result, tanθ represents the slope of a line.
The slope of d street line is tan(90)
[if the angle made by a line with x axis is then, the slope of that line will be tan() ]
Here, the angle made by the d street line with x axis is 90 degrees. If a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis. So, the slope of new road will be tan(0) = 0
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Write the equation of the line given the point (2, 5) and the slope -2.
Answer:
by point slope form
(y-5)/(x-2)=-2
Answer:
3x+y=16
x−y+4=8
4x−5+y=0
Find the average rate of change of the function f(x)=9/-3x+4, on the interval [3,5]
The average rate of change of the function f(x)=9/-3x+4, on the interval [3,5] is 1.
What is function?A function is a process or set of instructions that takes inputs, performs a specific task, and produces an output. Functions are key components of programming languages, allowing the coder to create complex commands with simple instructions. For example, a function can be used to add two numbers together or to generate a random number. Functions can also be combined to create more complex sequences of instructions.
The average rate of change of the function f(x)=9/-3x+4, on the interval [3,5] can be determined by taking the difference of the output values of the function at the endpoints of the interval, and then dividing it by the difference of the input values of the interval.
The output of the function at x=3 is f(3)=9/-3*3 +4 = -5,
and the output of the function at x=5 is f(5)=9/-3*5 +4 = -3.
Therefore, the difference of the output values is f(5)-f(3) = -3 - (-5) = 2
The difference of the input values is 5-3 = 2
Therefore, the average rate of change of the function on the interval [3,5] is f(5)-f(3) / (5-3) = 2/2 = 1.
Hence, the average rate of change of the function f(x)=9/-3x+4, on the interval [3,5] is 1.
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2/3 - 3/5, simplifiy
Answer:
1/15
Step-by-step explanation:
decimal 0.06
if correct plz mark as brainliest
thank you
19NBoli
Answer:
that would half to equal 0.066
Step-by-step explanation:
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.Select all the sums that are positive.
A. –5 + (–2)
B. 5 + (–2)
C. –3 + 4
D. 0 + (–3)
E. –2 + 4
Answer:
The positive sums are:
B. 5 + (–2)
C. –3 + 4
E. –2 + 4
Step-by-step explanation:
We can simply observe the sums to conclude that the sum will be positive or negative.
A. –5 + (–2)
We can see that both numbers are negative, the sum of two nu=egative numbers is also negative.
-5+(-2) = -5-2 = -7
B. 5 + (–2)
The number with greater magnitude is positive so the sum will also be positive.
5 + (–2) = 5-2 = 3
C. –3 + 4
The number with greater magnitude is positive so the sum will also be positive.
-3+4 = 1
D. 0 + (–3)
The number with greater magnitude is negative so the sum will also be negative.
= 0-3 = -3
E. –2 + 4
The number with greater magnitude is positive so the sum will also be positive.
-2+4 = 2
Hence,
The positive sums are:
B. 5 + (–2)
C. –3 + 4
E. –2 + 4
If 2 pounds of rib steak and 6 pounds of hamburger meat costs $12.30 and 3 pounds of rib steak and 2 pounds of hamburger meat costs $9.70, what is the cost per pound of each type of meat?
The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.
To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.
Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.
From the first statement, we know that:
2x + 6y = 12.30 ---(Equation 1)
From the second statement, we know that:
3x + 2y = 9.70 ---(Equation 2)
Now we can solve this system of equations to find the values of 'x' and 'y'.
Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:
6x + 18y = 36.90 ---(Equation 3)
6x + 4y = 19.40 ---(Equation 4)
Subtracting Equation 4 from Equation 3, we get:
14y = 17.50
Dividing both sides by 14, we find:
y = 1.25
Substituting the value of 'y' back into Equation 1, we can solve for 'x':
2x + 6(1.25) = 12.30
2x + 7.50 = 12.30
2x = 4.80
x = 2.40
Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.
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Evaluate |x - y| + 4 if x = -1, y = 3, and z = -4.
Answer:
8
Step-by-step explanation:
Substitute the values in the expression, we have:
\(\displaystyle{|-1-3|+4}\)
Evaluate:
\(\displaystyle{|-4|+4}\)
Any real numbers in the absolute sign will always be evaluated as positive values. Thus:
\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)
Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.
A credit car company charges 7% simple
interest. What is the total interest on a $1,900
loan at the end of the two years?
Answer: 266
Step-by-step explanation:
I = prt
p= 1900
r=.07
t=2
1900x.07x2=266
Please help me finish the question!
Answer:
Step-by-step explanation:
Ok well first you need to put 9,000
4 years- 207.26
5% interest rate-
Now add all those together and the 4 years how many days are in 4 years?
Find that out and add all together.
Signed,
Emily Blevins
Use the product-to-sum identities to rewrite the following expression as a sum or difference.
2sin(2x)sin(2x)
The sum form of the trigonometric function 2 · sin 2x · sin 2x by product-to-sum formula is 1 - cos 4x.
How to transform a product of trigonometric functions into a sum of trigonometric functions
Herein we find the definition of a trigonometric function defined as a product of trigonometric function, this can be transformed into a sum of trigonometric functions by means of the following product-to-sum formula:
sin α · sin β = [cos (α - β) - cos (α + β)] / 2
First, write the trigonometric function defined in the statement:
2 · sin 2x · sin 2x
Second, use the product-to-sum formula by considering α = β = 2 · x:
2 · [[cos (2x - 2x) - cos (2x + 2x)] / 2]
cos 0 - cos 4x
1 - cos 4x
Third, write the resulting expression:
2 · sin 2x · sin 2x = 1 - cos 4x
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A dilation is a nonrigid transformation that can produce enlarge or reduce images from a given pre-image. How do you know that a dilation will produce similar figures? Explain.
You would know that the dilation is going to produce a similar figure because the image and the pre image are going to have congruent and corresponding sides.
How to know that dilation would give similar figureDue to the congruent matching angles between the image and pre-image, dilations result in identical figures. Based on the scale factor, the corresponding side lengths of the figures will be proportionate. The scale factor causes the sides to be either extended or contracted while maintaining the form.
Each preimage point has a line leading to its corresponding image point that is congruent. Dilations are a particular kind of transformation that are not isometries.
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The world population is projected to be 8.2 billion in 2045. At that time, there are expected to be approximately 3 billion more people in Asia than in Africa. The population for the rest of the world will be approximately 0.2 billion more than half the population of Asia. Find the projected populations of Asia, Africa, and the rest of the world in 2045.
The projected population of Asia will be approximately billion
Answer:
Since the total population will be 9.4B people
W + A+ A =9.4B
W = 0.6B + A/4
A+ 2.9B = As
A - 2.9B + As + 0.6 + A/4 = 9.4B
(9/4)*A= 11.7B
A = (4/9)*11.7B=5.2B
W = 0.6B + (5.2B/4) = 1.9B
A = 5.2B - 2.9B = 2.3B
Rewrite as a simplified fraction.
0.1 with the 1 repeating
Answer:
\(\frac{1}{9}\)
Step-by-step explanation:
\(\frac{1}{9} =0.111111111111111111\)
Houston, TX and New Orleans, LA are 348 miles apart. On a map, these two cities are 2.3 centimeters apart. Use this scale to determine the distance between Houston, TX and Dallas, TX if they are 1.6 centimeters apart on the map.
Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.
To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.
Let's denote the distance between Houston and Dallas as "x" (in miles).
According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:
2.3 cm / 348 miles = 1.6 cm / x miles
To find the value of "x," we can cross-multiply and solve the equation:
(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)
2.3x = 556.8
Divide both sides by 2.3 to isolate "x":
x = 556.8 / 2.3
x ≈ 242.0869565
Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.
Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.
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M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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Each sentence shows the number of pages a student reads a book and the amount of time it takes to read those pages.
Answer:
65 mins
Step-by-step explanation:
I well help anyone because I’m a hero and I well always be one thanks to all of you
Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is the inverse image of d?
Answer:
d does not have an inverse image
Step-by-step explanation:
From the question we are told that
The first set is A (10, 11, 12, 13 )
The second set is B (a, b, c, d)
The function that from A to B is f(10, a), (11,a), (12, b), (13,b))
Generally for a function defined by (x,y), y is the image of x while x is the inverse image of y
Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function
hence d does not have an inverse image
Colin and Dan win some money and share it in the ratio 5:2. Colin gets £55. How much did Dan get?
Answer:
Dan gets £15.7142857
Step-by-step explanation:
Colin => 5
Dan => 2
5 + 2 (total of the two) = 7
55 divided by 7 = 7.85714286
7.85714286 times 2 = 15.7142857
So Dan gets £15.7142857
Question 16
Given AEFHAGFH below, what is the measure of GFH?
F
21.6°
E<
(6x - 12)° H
G
1 pts
The most appropriate choice for congruency of triangles will be given by-
\(\angle GFH =68.4^{\circ}\\\)
What is congruency of triangles?
Two triangles are said to be congruent if all the corrosponding sides and the corrosponding angles of the triangle are equal.
There are five axioms of congruency. They are -
SSS axioms, SAS axioms, ASA axiom, AAS axiom, RHS axiom.
Here,
\(\Delta EFH \cong \Delta GFH\) [Given]
\(\angle E = \angle G = 21.6^{\circ}\) [Corrosponding parts of congruent triangles are congruent]
\(\angle GFH\) = 180 - (90 + 21.6) [Sum of the three angles of a triangle is 180°]
\(\angle GFH = 180 - 111.6\\\angle GFH =68.4^{\circ}\\\)
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Write an essay describing how you would implement subtraction as a money lesson. You must add the lesson plan for this lesson to support your discussion in your essay. Your essay must not be longer than 3 pages. And if you use ideas from the internet, did not forget to reference it as far as possible. Also, if you are going to do this lesson in your class, you are welcome to add images to your assignment of what you did with the learners. (But this is not a requirement). I will be posting the rubric for the assignment along with the slides tomorrow morning. Due date: Tuesday the 25th of April 2023 su wil mo follo toric
The implementing of subtraction as a money lesson need a starting with concrete examples and building students' understanding of the concept in scenarios.
How can we implement subtraction as a money lesson?As a mathematical concept, subtraction is useful in real-life scenarios including managing money. To implement it, we must note that it important to start with concrete examples that students can relate to like making purchases or earning an allowance.
We can provide the students with a set amount of money and ask them to subtract the cost of various items from it to determine how much they have left. For example, if a student has $10 and wants to buy a $3 toy, they would need to subtract $3 from $10 to determine that they have $7 remaining.
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PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST
Hello!
We will go tu use the pythagorean theorem!
So:
BA² = BC² + AC²
AC² = BA² - BC²
AC² = 52² - 20²
AC² = 2304
AC = √2304
AC = 48
Two boards are placed end to end to make a walkway. One board is 6 feet 11 inches long, and the other board is 5 feet 7 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
The walkway is 11 feet 6 inches long.
To find the length of the walkway, we need to add the lengths of the two boards.
The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.
The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.
Now we can add the lengths of the two boards:
6 + 11/12 feet + 5 + 7/12 feet
= 11 + 6/12 feet
=11 + 1/2 feet
Therefore, the walkway is 11 feet 6 inches long.
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Suppose a newly-born pair of rabbits, one male and one female, are put in a field. Rabbits are able to
mate at the age of one month so that at the end of its second month a female can produce another pair of
rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male,
one female) every month from the second month on. How many pairs will there be in one year?
At the end of the year there will be 356 rabbit.
What is Fibonacci sequence?Fibonacci sequence is a sequence, in which each number is the sum of the two preceding ones. The numbers in the Fibonacci sequence is the Fibonacci numbers.
Suppose a newly-born pair of rabbits, one male and one female, are put in a field.
Let \(f_{1},f_{2},f_{3} ,........f_{12}\) represents the number of rabbit in the month 1, month2,....month12.
i.e., \(f_{1} =2, f_{2} =2\)
At the end of its second month a female can produce another pair of
rabbits. i.e., \(f_{3}=4\).
At the end of third month a parent female produce one pair and the daughter female produce one pair. i.e., \(f_{4} = 8.\)
Similarly it goes on for 12 months.
Using fibonacii sequence, the general term is,
\(f_{n} =f_{n-1}+f_{n-2}\)
for 5th month
\(f_{5} =f_{4} +f_{3} =8+4=12\)
\(f_{6} =f_{5} +f_{4} =12+8=20\)
\(f_{7} =f_{6} +f_{5} =20+12=32\)
\(f_{8} =f_{7} +f_{6} =32+20=52\)
\(f_{9} =f_{8} +f_{7} =52+32=84\)
\(f_{10} =f_{9} +f_{8} =84+52=136\)
\(f_{11} =f_{10} +f_{9} =136+84=220\)
\(f_{12} =f_{11} +f_{10} =220+136=356.\)
Hence, at the end of the year there will be 356 rabbit.
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If triangle ABC was reflected over the x-axis, what would be the coordinates of B’?
a(-3, 4)
b(3, -4)
c(4, -3)
d(-4, 3)
The coordinates of B’ is given by D. A'(2, -5)
Since point A is at (2, 5), and you are reflecting it across the x-axis, you take a look at the y-coordinate.
What is the reflecting axis?A reflection of a point, a line, or a figure in the X-axis involved reflecting the image over the x-axis to create a mirror image. In this case, the x-axis would be called the axis of reflection.
Since it is five above the x-axis, you go five below the x-axis, or just give the opposite of 5, which is -5.
So, A' is at (2, -5).
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Answer:
c (4, -3)
Step-by-step explanation:
took the quiz
1/3log125/8-2log2/5+log80/125
Answer:
1
Step-by-step explanation:
⅓Log₁₀(125/8) – 2Log₁₀(2/5) + Log₁₀(80/125)
The above expression can be simplified as follow:
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
Recall:
a LogM = Log Mᵃ
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= Log(125/8)¹/³ – Log(2/5)² + Log(80/125)
= Log(5/2) – Log(4/25) + Log(16/25)
Recall:
Log M – Log N = Log M/N
Log(5/2) – Log(4/25) = Log (5/2 ÷ 4/25)
Log(5/2) – Log(4/25) = Log (5/2 × 25/4)
Log(5/2) – Log(4/25) = Log (125/8)
Therefore,
Log(5/2) – Log(4/25) + Log(16/25)
= Log (125/8) + Log(16/25)
Recall:
Log M + Log N = Log MN
Log (125/8) + Log(16/25)
= Log (125/8 × 16/25)
= Log 10
= Log₁₀10 = 1
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= 1
A student is solving the problem
x^2 + 10x + _ = 16 + _
by method of completing the square. What number should the student add to both sides?
A. 4
B. 16
C. 25
D. 5
We should add 25 both side by method of completing the square.
We have to given that;
A student is solving the problem
x² + 10x + _ = 16 + _
Now, We can completing the square as;
⇒ x² + 10x + 5² = 16 + 5²
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 16 + 25
Hence, We should add 25 both side by method of completing the square.
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