A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.
Answers
Answer:
A
Step-by-step explanation:
The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!
Related Questions
Which of the following equations is equivalent to 4x -y=3`?
Answers
Answer:
x-intercept = (3/4,0)
y'intercept = (0,-3)
Step-by-step explanation:
Not sure what conversion you need but here are the intercepts
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
Answers
Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
question no. 3 the square root pls help guys pls
Answers
La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.
Answers
Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.
John wants to draw a circle graph showing his friends favorite ice cream flavors. When he polled his friends asking each their favorite flavor of ice cream, 35% of his friends aid chocolate, 20% of his friends said vanilla, 15% of his friends said Strawberry, 25% of his friends said mint chocolate chip, and 5% of his friends said flavors other than those previously listed. What will be the degree measure of the vanilla sector of the circle graph?
Answers
Answer:72
Step-by-step explanation:
The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?
Answers
9514 1404 393
Answer:
$500
Step-by-step explanation:
The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...
C = 45·10 +50 = 450 +50 = 500
The greatest value in the range for this situation is $500.
A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels
Answers
Answer:
22.5 miles
Step-by-step explanation:
15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15
What is the area of this shape?
7 inches
4 inches
5 inches
A. 17.5 square inches
B. 25.5
C.27.5
D. 35.5
E.37.5
Answers
Answer:
c because 5×4=20 and 3×5÷2=7.5= 27.5
-1/2 (10+1/4)
A. -5 -1/4
B. -5 -1/8
C. -5 +1/8
D. -5 +1/4.
Please help, I'll mark first correct as Brainlyest
Answers
Answer:
-5 1/8
Step-by-step explanation:
-5 1/8
Paul was making some brownies and cupcakes for his school fundraiser. If the brownies needed 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would he need altogether?
Answers
Answer:
10 cups in total.
Step-by-step explanation:
4.8+5.2= 10.00
add the .2 to the 4.8 you get get 5 then add 5.0+5.0
Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 0.3x plus 24, 5x, and 0.2x minus 15.
Answers
Answer: The expression is 5.5x + 9 for the perimeter of the triangle described.
Step-by-step explanation: Add the three lengths given to find the perimeter.
0.3x + 24,
+ 5x,
+ 0.2x - 15 Combine like terms
=5.5x + 9
Answer:
The perimeter is the sum of all sides.
Step-by-step explanation:
Can you write 10 2/3 as an improper fraction?
Answers
Answer:
10 2/3 is 32/3
Step-by-step explanation:
10*3=30
30+2=32
32/3
.
Step-by-step explanation:
10 2/3
add 10 + 2/3
continue
What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?
Answers
Answer:
y = 1/3x + 4
Step-by-step explanation:
Make it into slope intercept form
3y = x + 6
y = 1/3x + 2
parallel = same slope
y = 1/3x + b, plug in (3,5)
5 = 1/3(3) + b, b = 4
y = 1/3x + 4
A licensed nurse practitioner is instructed to give a patient 1500 milligrams of an antibiotic over a period of 36 hours. If the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 18x=1500.
Answers
Answer:
83.33 milligrams
Step-by-step explanation:
The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.
Thus, the each dosage = x.
Let's solve for x
[tex] 18x = 1500 [/tex]
Divide both sides by 18
[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]
[tex] x = 83.33 milligrams [/tex] (nearest hundredth)
At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?
For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true
Answers
Answer:
all answers are true I think
( Which of the following best describes an ecosystem in a neighborhood garden?
Answers
What is the slope of AB in parallelogram ABCD?
Answers
The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.
[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]
Reasons:
The slope of a line is given by the ratio of the rise to the run of the line
The coordinates of point A = (-9, -4)
The coordinates of point B = (-5, 6)
The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10
The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4
[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]
Therefore
[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]
Learn more here:
https://brainly.com/question/12860056
ASAP I AM BEING TIMED I WILL MARK BRAINLIST
In psychology, the word "Gestalt" refers to
 A. a personality type

B. an adaptation that increases chances of survival 
C. the organization of parts into a whole pattern
 D. a learned response to a stimulus  E. the unconscious forces that drive behavior
Answers
Answer:
C. the organization of parts into a whole pattern
Step-by-step explanation:
4cm
Use 3.14 for pi
Circumference =
cm
Area
=
cm
Answers
Some 10 cm
please help me, i need this so much
Answers
Answer:
Do you have insta cus if u do follow _l.bartlett
Step-by-step explanation:
1. x<-3
2. z[tex]\leq[/tex] -5
3. y<2
4. 3 [tex]\leq[/tex]x<7
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answers
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
I’ll give BRAINLIEST just pls help :(
Answers
Answer:
September
December
May and December
Step-by-step explanation:
I am not sure about the last one
What is the square root of 10,000 in simplest radical form?
Answers
Answer:
Step-by-step explanation:
the answer is 100
If the school supply kit regularly cost $25 how much does it cost after the 20% discount
Answers
The amount of the school supply kit after the discounted price is $ 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of the school supply kit be A
The value of A is $ 25
The percentage discount of the school supply kit = 20 %
So , the value of the percentage amount is given by the equation
The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )
Substituting the values in the equation , we get
The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )
The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )
The cost of the school supply kit after discount = 25 - 5
The cost of the school supply kit after discount = $ 20
Therefore , the discounted price is $ 20
Hence ,
The amount of the school supply kit after the discounted price is $ 20
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
What is the sum of -7 1/6 + 3 5/6 in simplest form?
Answers
Answer:
-3 1/3
Step-by-step explanation:
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
Answers
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a
Answers
Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
Answers
Answer:
Elena's move will lead to the solution of the problem
Step-by-step explanation:
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning
Given:
7.5d = 2.5d
Lin divides each side by 2.5d, Lin:
7.5d / 2.5d = 2.5d / 2.5d
3 = 1
This can not be the solution to the problem because 3 can not be Equal to 1
Elena subtracts 2.5d from each side
7.5d = 2.5d
7.5d - 2.5d = 2.5d - 2.5d
5d = 0
This can lead to the solution of the problem
Elena's move will lead to the solution of the problem
9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8
Answers
Answer: 74 boxes
Explanation: To get 305 you add the weight of the cart and the weight of the worker
Then create the inequality
Subtract 305 from 4000 and you get 3695
Then since the 50 is trying to multiply against x then you do the inverse operation and divide 3695 by 50
Which equals out to 73.9 and since the point nine is higher then 5 then you round the 73 up by one which gives you 74
Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!
Answers
Answer:
A.B
Step-by-step explanation:
5 - sqrt1.35 = ~3.8
A) 3 / sqrt2 = ~2.1
B) 5 / sqrt3 = ~2.9
C) 3 + 2sqrt2 = ~5.8
D) 4 + 8/sqrt50 = ~5.1