Angle F will have the same measure as angle D, which is 53°, because they are vertical angles and thus congruent.
Explanation:The question asks about the measure of angle F given that it is a vertical angle to angle D, which measures 53°. In geometry, vertical angles (also known as opposite angles) are pairs of non-adjacent angles formed when two lines intersect. Vertical angles are congruent, which means they have the same measure. Therefore, since angle D is 53°, angle F, being its vertical angle, will also have a measure of 53°.
Angle D and angle F are vertical angles, which means they are congruent. If angle D measures 53°, then angle F will also measure 53°. This is because vertical angles are equal in measure.
Madison has to read a book that is 260 pages. Her mom says she can take a break when she is 30% finished. How far does she need to read? A) 8 pages B) 17 pages C) 78 pages D) 87 pages
Partition a number line from 0 to 1 into fourths.Decompose 3/4 into 6 equal lengths.
Final answer:
To partition a number line into fourths, divide it into four equal segments, with each representing 1/4. To decompose 3/4 into 6 equal lengths, divide 3/4 into six parts where each part is 1/8 of the whole.
Explanation:
Partitioning a Number Line into Fourths and Decomposing Fractions
To partition a number line from 0 to 1 into fourths, you would divide the line into four equal segments. Each segment represents a value of 1/4. Now, to decompose 3/4 into 6 equal lengths, realize that each 1/4 is being divided into two parts (since 6 divided by 3 equals 2), which means each part is 1/8 in length. Therefore, 3/4 divided into 6 equal lengths gives us 6 segments, each of length 1/8.
Step-by-Step Solution
Draw a number line from 0 to 1.
Mark off four equal lengths between 0 and 1, each representing 1/4.
Find 3/4 on the number line. It is three of these fourths.
Divide each fourth into two equal lengths to decompose 3/4 into 6 equal parts.
Mark these new lengths on the number line, showing that each length is 1/8.
Write a decimal that is equivalent to three and ten hundredths.
Answer:
The number in decimal expression is:
3.1
Step-by-step explanation:
We have to write the given number in a decimal expression.
The information about the number is given as:
three and ten hundredths.
Hence, in decimals the number is written as:
3.1
( since , three is to be written before the decimal point
as 3 is 3.0
and the number 10 is to be written after the decimal .
since, 10/100=0.1)
Hence, the number in decimal expression is:
3.1
The decimal equivalent to three and ten hundredths is 3.1
How to write decimal numberthree and ten hundredths.3 is in the unit place1 hundredth = 1/100 = 0.01
10 hundredth = 10/100 = 0.1
Therefore,
three and ten hundredths
= 3 + 0.1
= 3.1
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tony began putting together a rectangular puzzle.he completed the top edge and left edge of the puzzle, each piece is a square that has a side length of 2 1/2 centimeters
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2pi/3
Answer:
C) 20.94 inches
Step-by-step explanation:
It right on edge
Rasheed takes a taxi in Pittsburgh for 5.6 miles. The initial charge is $5.00 and you are charged $2.10 per mile. The driver automatically calculates a 15% tip and adds it to the cost. What is the total cost of the taxi ride? _
Pete bagged 18 bags in 9 minutes. How many bags did he bag in 1 minute.
Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?
Answer:
Rate column: 30, 20.
Distance column: x miles for both.
Step-by-step explanation:
Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?
Fill out the Rate column in the table below.
a = 30
b = 20
Fill out the Distance column.
c = x miles
d = x miles
basically: 30, 20 for first question. x miles for both second
Find the area of the blue shaded region.
Use 3.14 for pi.
Area = ____ ft2
please help me solve 7-30 worth 30 points
7. 0.78 8. 0.55 9. 0.185 10. 0.574 11. 0.33 12. 0.09 13. 0.4763 14. 0.9125
15. 1.66 16. 2.17 17. 0.0006 18. 0.00034 19. 74% 20. 52% 21. 89% 22. 76.8%
23. 99% 24. 49% 25. 48.7% 26. 12.8% 27. 368% 28. 512% 29. 3.71%
30. 0.46% Converting Decimal to Percentage, Multiply Decimal by 100. Percentage to Decimal, divide by 100.
Answer:
for the changing decimal to percent just change each decimal to a whole number for example .99=99 percent and 3.68 = 368 percent
Step-by-step explanation:
Suppose a and b are independent events if P(A) =0.4 and P(B) =0.45 what is P(A*B)?
Answer:
P(A*B) = 0.18
Step-by-step explanation:
Given : We are given that a and b are independent events .
P(A) = 0.4
P(B) = 0.45
Solution :
Since , A and B are independent events so by
[tex]P(A*B) = P(A\cap B)=P(A)\ast P(B)[/tex]
⇒[tex]P(A*B) = 0.4\times 0.45[/tex]
[tex]P(A*B) = 0.18[/tex]
Thus, [tex]P(A*B) = 0.18[/tex]
Factor the expression. r2 – 49
Answer:
(r-7)(r+7)
hope this helps! :)
B. how many 350-day periods are there in one year? (use 365 days in a year. round your answer to 4 decimal places.)
Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get 700. What is the number?
A deck of cards has 52 cards. If p is the number of players and each player receives 3 cards, which expression represents the number of cards remaining in the deck?
A 3/52
B 52/3
C 52-3p
D (52-3)p
The expression represents the number of cards remaining in the deck will be 52 - 3p. Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A deck of cards has 52 cards. If p is the number of players and each player receives 3 cards. Then the expression is given as,
⇒ 52 - 3p
The expression represents the number of cards remaining in the deck will be 52 - 3p. Then the correct option is C.
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A telemarketer will make 25 calls in one hour. the probability of making a sale on any given call is .09. what is the probability that he will make at least one sale during the hour? (answer to the third decimal place.)
match each expression to its equivalent standard form
Answer:
1. x² + 2x + 2
2. x² + 4
3. x² - 4x + 8
Step-by-step explanation:
(1) ( x+1+i ) ( x+1-i )
= ( x+1 )²- i² [ Since ( a+b ) ( a-b ) = a² - b² ]
= x² + 1 + 2x - ( √-1 )²
= x² + 1 + 2x + 1
= x² + 2x + 2
(2) ( x+2i ) ( x - 2i )
= x² - (2i)² [ ( a+b ) ( a-b ) = a² b²
= x² - 4i²
= x² - 4 (-1) [Since i² = -1 ]
= x² + 4
(3) ( x - 2i - 2 ) (x + 2i - 2 )
= ( x-2 )² - ( 2i )² [ ( a+b ) ( a-b ) = a² - b² ]
= x² + 4 - 4x - 4 ( i )²
= x² + 4 - 4x - 4 ( -1 )²
= x² - 4x + 4 + 4
= x² - 4x + 8
a water jug holds 1 gallon. Cooper is going to pour the water in glasses that each hold 1 pint.How many glasses can cooper fill
which of the following is equal to the rational expression below when x=11?
x^2-121/x+11
a. x-11
b. x+11
c. x+11/x-11
d. 1/x-11
The algebraic expression that is equivalent to the given rational expression is (x-11), but when we substitute x=11 into the expression, we receive 0. However, this leads to an indeterminate form in the original rational expression.
Explanation:The rational expression given in the question is x^2-121/x+11. If we factorize x^2-121, we'll get (x-11)(x+11), because x^2-121 is a difference of squares. Now, the expression becomes: (x-11)(x+11)/(x+11). We see that (x+11) on numerator and denominator will cancel out each other. This leaves us with (x-11).
Now, let's substitute x=11 in (x-11). We obtain 11-11 which equals 0. So the correct answer is (x-11), but we get 0 when we substitute x=11 into the expression. This actually results in an indeterminate form because the original rational expression becomes a 0/0 form, which points to a situation of undefined or indeterminate form.
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Matt paid $55 at a restaurant. That amount included a 10% tip. What was the check amount before the tip?
Answer:
The amount before the tip is $50.
Step-by-step explanation:
Given : Matt paid $55 at a restaurant. That amount included a 10% tip.
To find : What was the check amount before the tip?
Solution : We have given
Matt paid = $55 .
amount included a 10% tip.
Let the amount before the tip = x.
Tip amount = 10% of x is
[tex]\frac{10 x}{100}[/tex] = 0.1 x .
Tip amount = 0. 1 x
Total amount = x + 0.1x = 55 .
1.1 x = 55.
On dividing both sides by 1.1
x = 50.
So, the amount before the tip is $50.
Therefore, The amount before the tip is $50.
PLEASE HELP WITH THIS QUESTION!!??
Jasmine buys a turkey every year. The first time she bought a turkey, in Year 0, it cost $15.50. She notices the price is getting more expensive, at a rate of 2% per year.
Jasmine sketches a graph of the situation.
Which statement is true?
A. The graph decreases from left to right.
B. The point (5, 16.78) is on the graph.
C. The point (1, 16.13) is on the graph.
D. The graph increases from left to right.
how do you graph y = 2x + 5
the length of a train car is 50.6 feet. This is 5.8 feet less than 6 time the width. What is the width?
a submersible traveling at a depth of 250 feet dives at an angle of 15 degrees with respect to a line parallel to the water's surface. it travels a horizontal distance of 1500 feet during the dive. what is the depth of the submersible after the dive
y=f(x)=(1/3)^x find f(x) when x=2 express as a decimal rounding to the nearest thousandth
classify the following triangle as acute, obtuse, or right
Answer:
Step-by-step explanation:
Alright, lets get started.
Once the triangle has all angles less than 90 degree, is called Acute triangle.
Once the triangle has one angle more than 90 degree, is called Obtuse triangle.
Once the triangle has one angle equal to 90 degree, is called Right triangle.
So, the given triangle has its angle 55, 55, 70.
Each angle is acute angle, so the triangle is Acute triangle. : Answer
Hope it will help :)
Cleo wants to join a gym. There is an initiation fee of $24.99 and each month of membership costs $12.50. If Cleo pays $174.99, how long will his membership last?
The membership will last for about 1 year.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Let's start by subtracting the initiation fee from the total amount Cleo paid:
$174.99 - $24.99 = $150
This represents the total amount Cleo will pay for the monthly membership fees.
To find out the number of months of membership this represents, we divide by the monthly fee:
$150 ÷ $12.50 = 12
Therefore, Cleo's membership will last for 12 months.
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Trip has 15 coins worth 95 cents. four of the coin are each worth twice as much as the rest. construct a math argument to justify the conjecture that trip has 11 nickels and 4 dimes
Required math argument to justify the conjecture that trip,
11 x 5 + 4 x 10 = 95
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Trip has 15 coins worth 95 cents. four of the coin are each worth twice as much as the rest.
So, we get,
Required math argument to justify the conjecture that trip,
11 x 5 + 4 x 10 = 95
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HELPP PLEASE!!!
Victoria will borrow $6500 at 13% APR. She will pay it back over 15 months. What will her monthly payment be?
A. $489.67
B. $503.75
C. $517.83
D. $629.69
Victor will borrow $6800 at 13.5% APR. He will pay it back over 3 Year’s. What will his monthly payment be?
A. $156.47
B. $227.46
C. $230.79
D. $324.90
Part A: The monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.
Part B: The monthly amount payable by Victor is $276.17.
What is interest?Interest is defined as the amount of money paid for the use of someone else's money.
Part A:
Given that the amount P is $6500, interest rate R is 13% and time period T is 15 months. The yearly time period is given as,
[tex]T = \dfrac {15}{12}[/tex]
[tex]T = 1.25 \;\rm Years[/tex]
The interest is calculated as given below.
[tex]I = P\times\dfrac {R}{100}\times T[/tex]
[tex]I = 6500 \times \dfrac {13}{100} \times 1.25[/tex]
[tex]I =\$ 1056.25[/tex]
The total amount after 15 months is given as,
A = P + I
A = $6500 + $1056.25
A = $7556.25
This is the amount of 15 months. The amount of one month is calculated as given below.
Monthly Amount = [tex]\dfrac {\$7556.25}{15}[/tex]
Monthly Amount = $503.75
Hence we can conclude that the monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.
Part B:
Given that the amount P is $6800, interest rate R is 13.5% and time period T is 3 years.
The total amount after 3 years is given as,
[tex]A = P (1 + \dfrac {R}{100})^T[/tex]
[tex]A = 6800 (1 + \dfrac {13.5}{100})^3[/tex]
[tex]A = 6800 \times 1.4621[/tex]
[tex]A = \$ 9942.28[/tex]
This is the amount of 3 years or for 36 months. The amount of one month is calculated as given below.
Monthly Amount = [tex]\dfrac {\$9942.28}{36}[/tex]
Monthly Amount = $276.17
Hence we can conclude that the monthly amount payable by Victor is $276.17.
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