Final answer:
The angle of rotation of a regular octagon is 45°, and the measure of an interior angle of a regular octagon is 135°.
Explanation:
The angle of rotation for a regular octagon can be found by dividing the full circle of 360 degrees by the number of sides, which is 8 for an octagon. Therefore, the angle of rotation is 360° / 8 = 45°.
The measure of an interior angle of a regular octagon is determined by the formula (n-2) × 180° / n, where 'n' is the number of sides. Substituting 8 for 'n', the measure of an interior angle is (8-2) × 180° / 8 = 6 × 180° / 8 = 135°.
10ac-x/11=-3 solve for a
Answer:
The solution for the required variable is [tex]a=\frac{-33+x}{10c}[/tex]
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{10ac-x}{11}=-3[/tex]
We need to solve the equation for a.
Multiply both the sides by 11.
[tex]10ac-x=-33[/tex]
Add x to both sides
[tex]10ac=-33+x[/tex]
Divide both the sides by 10c.
[tex]a=\frac{-33+x}{10c}[/tex]
Hence, the solution for the required variable is [tex]a=\frac{-33+x}{10c}[/tex]
Dario bought a new bike for $90.00. Sales tax is 5 1/2% How much tax does he have to pay? How much is his total bill?
Nina bought a package of 94 oatmeal cookies. The total weight of the cookies was 1 ounce. To the nearest hundredth of an ounce, how much did each cookie weigh?
The largest part of landfills is made up of newspapers. A 30.48 cm stack of newspapers weighs about 15.87 kg. How many meters of newspapers are stacked up?
The stack of newspapers is 0.3048 meters tall.
The student is asking how to convert the height of a stack of newspapers from centimeters to meters for a proper estimation of its volume in terms of the given weight. Since the question specifies a stack of newspapers that is 30.48 cm high and weighs 15.87 kg, we need to convert the height from centimeters to meters to find out how tall the stack is in meters.
To convert centimeters to meters, we divide the number of centimeters by 100, because there are 100 centimeters in a meter. Therefore:
30.48 cm / 100 = 0.3048 meters
So, the stack of newspapers is 0.3048 meters tall.
Write 46/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
Rewrite the following alebraic expression using the distributive property.
-2a(a+b-5) + b(6a+b-8)
After a discount Joan paid $700 for a new laptop and an additional 5% tax on the marked price.
What is the marked price of the laptop if Joan paid a total of $737?
Question 5 options:
$700
$777
$740
$40
The correct marked price of the laptop is $740.
To find the marked price of the laptop, we need to consider the total amount Joan paid, which includes the discounted price and the additional tax. Joan paid a total of $737, which is after a discount and including a 5% tax on the marked price.
Let's denote the marked price of the laptop as M. Joan paid $700 after the discount, which means the discounted price is $700. The tax paid on the marked price is 5% of M, which can be written as 0.05M .
The relationship between the marked price, the discount, and the tax can be expressed as:
[tex]\[ M - \text{Discount} + 0.05M = \text{Total paid} \] \[ M - (M - 700) + 0.05M = 737 \] \[ M - M + 700 + 0.05M = 737 \] \[ 0.05M = 737 - 700 \] \[ 0.05M = 37 \][/tex]
Now, we solve for \( M \) to find the marked price:
[tex]\[ M = \frac{37}{0.05} \] \[ M = 740 \][/tex]
Therefore, the marked price of the laptop is $740.
The other options can be eliminated as follows:
- $700 is the price Joan paid after the discount, not the marked price.
- $777 is not correct because it does not account for the 5% tax on the marked price.
- $40 is incorrect as it is much less than the amount Joan paid after the discount.
Hence, the correct answer is $740 for the marked price of the laptop.
The following is an incomplete flowchart proving that the opposite angles of parallelogram JKLM are congruent:
Parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML. Extend segment JM beyond point M and draw point P, by Construction. An arrow is drawn from this statement to angle MLK is congruent to angle PML, Alternate Interior Angles Theorem. An arrow is drawn from this statement to angle PML is congruent to angle KJM, numbered blank 1. An arrow is drawn from this statement to angle MLK is congruent to angle KJM, Transitive Property of Equality. Extend segment JK beyond point J and draw point Q. An arrow is drawn from this statement to angle JML is congruent to angle QJM, Alternate Interior Angles Theorem. An arrow is drawn from this statement to angle QJM is congruent to angle LKJ, numbered blank 2. An arrow is drawn from this statement to angle JML is congruent to angle LKJ, Transitive Property of Equality. Two arrows are drawn from this previous statement and the statement angle MLK is congruent to angle KJM, Transitive Property of Equality to opposite angles of parallelogram JKLM are congruent.
Which reasons can be used to fill in the numbered blank spaces?
1Alternate Interior Angles Theorem
2Alternate Interior Angles Theorem
1Corresponding Angles Theorem
2Corresponding Angles Theorem
1Same-Side Interior Angles Theorem
2Alternate Interior Angles Theorem
1Same-Side Interior Angles Theorem
2Corresponding Angles Theorem
Answer:
(B) corresponding angles theorem
Step-by-step explanation:
Given: A parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML.
To prove: Opposite angles of parallelogram are equal.
Construction: Extend segment JM beyond point M and draw point P, Extend segment JK beyond point J and draw point Q.
Proof:
It is given that A parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML.
Extend segment JM beyond point M and draw point P--------By construction
and Extend segment JK beyond point J and draw point Q----By construction
thus, ∠MLK≅∠PML and ∠JML≅∠QJM (Alternate interior angles theorem) (1)
Then, ∠PML≅∠KJM and ∠QJM≅∠LKJ (corresponding angles theorem) (2)
Using equation (1) and (2) and using the transitive property of equality, we have
∠MLK≅∠KJM and ∠JML≅∠LKJ
therefore, opposite angles of the given parallelogram JKLM are congruent.
Hence proved.
BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTT
You are planning a restaurant. You will be open only for dinner and expect a steady flow of customers to your 20 tables. Assuming one party per table and an average check of $50 per party, how many times will you have to "turn" each table to make your revenue goal of $3000 per night? ("Turning" a table means seating a new party at it.) a) 1 b) 2 c) 3 d) 4
Answer:
C) 3
Step-by-step explanation:
I just did this math quiz on KM
WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest?
A. 36%
B. 63%
C. 33%
D. 3.6%
The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false?
The ordered pair (−3,−6) is a solution for the first equation, and it is a solution for the second equation. Therefore, (−3,−6) is a solution to the system of equations. −4x+y=6
5x−y=21
true
or false
(−3,−6) is not a solution to the system of equations.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Given the system of equations −4x+y=6 and 5x−y=21.
At point (-3, -6), -4(-3) + (-6) = 6
Hence (-3, -6) is the solution to the first equation.
At point (-3, -6), 5(-3) - (-6) = -9 ≠ 6
Hence (-3, -6) is not a solution to the second equation.
Therefore (−3,−6) is not a solution to the system of equations.
Find out more at: https://brainly.com/question/13911928
A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°. Which statements are true regarding the transformation? Check all that apply. The rule for the transformation is (x, y) → (–x, –y). The coordinates of L' are (–2,–2). The coordinates of M' are (–4,4). The coordinates of N' are (6,–1). The coordinates of N' are (–1,–6).
Transformation involves changing the coordinates of a shape
The true statements regarding the transformation are: (a), (b) and (e)
The transformation rule is given as: R0, 180°
This means 180 degrees rotation
A 180 degrees rotation is represented as: (x, y) → (–x, –y) --- option (a)
So, we have:
L'= (-2,-2) --- option (b)
M' = (-4,-4)
N = (-1,-6) -- option (e)
Hence, the true statements are: (a), (b) and (e)
Read more about transformation at:
https://brainly.com/question/4289712
Consumer Math need help
Find the amount Social Security deducted: gross annual pay $45.397.
A- $1,736.44
B- $3,832.90
C- $4,327.90
D- $3,472.82
Which decimal is equivalent to 168/55?
A. 3.0
B. 3.05
C. 3.054
D.3.054
The decimal equivalent of the fraction 168/55, when rounded to three decimal places, is approximately 3.054. Therefore, either option C or D could be deemed correct.
Explanation:The question is asking to find the decimal that is equivalent to the fraction 168/55. To find this, we have to perform the division of 168 by 55. The division of 168 by 55 rounded to three decimal places yields 3.055. Comparing this value with the provided options, no option matches exactly. However, option C and D listed as 3.054 is closest.
However, please note that due to rounding, it can be said that they are approximately equivalent. Hence, the correct option could be considered as C or D: 3.054, as it is closest to the actual answer, 3.055, when accounting for rounding.
Learn more about Fraction to Decimal Conversion here:https://brainly.com/question/31738948
#SPJ2
Which equation represents a line that passes through the point (1,6) and is parallel to the line y = 5 - 3x?
Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?Enter your answer in the box as a fraction in simplest form.
Answer: is 4/5
how i know because i did the quiz hope this helps
Incomplete substance for an expression that doesn't mean anything and needs to be solved
A recent poll of 380 randomly selected Americans showed that 24% ( = 0.24) are happy with their cell phone carriers. The country’s largest cell phone carrier would like to know, within a 90% confidence level, the margin of error for this poll. (90% confidence level z*-score of 1.645) Remember, the margin of error, E, can be determined using the formula E = z*. To the nearest tenth of a percent, the margin of error for the poll is %.
THE ANSWER IS 3.6% BECAUSE I JUST TOOK THE TEST AND GOT A 100%
Answer:
3.6%
Step-by-step explanation:
Given that A recent poll of 380 randomly selected Americans showed that 24% ( = 0.24) are happy with their cell phone carriers.
Sample size n =380
Sample proportion p = 0.24
q = 1-0.24 =0.76
Std error of p = [tex]\sqrt{\frac{pq}{n} } =0.0219[/tex]
Z critical value for 90% would be 1.645
Margin of error = ±1.645*std error
=±1.645(0.0219)
=±0.0361
i.e. in percent margin of error
3.61% = 3.6%
The product of the roots of 5 - 2m - 3m2 = 0 is:
Use Vieta's formulas:
[tex]ax^2+bx+c=0\\\\x_1\cdot x_2=\dfrac{c}{a}[/tex]
[tex]x_1;x_2[/tex]-the roots
We have
[tex]5-2m-3m^2=0\to a=-3;\ b=-2;\ c=5[/tex]
put the values of c and a to the expression:
[tex]m_1\cdot m_2=\dfrac{5}{-3}=-\dfrac{5}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
the point slope form of X-3Y=-27
The equation in point slope form as -
y - 18 = (1/3)(x - 27)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following equation -
x - 3y = -27
We can write the equation as -
x - 3y = -27
Rearranging, we get -
3y = x + 27
y = x/3 + 9
Plot the graph. The line passes through the point (27, 18). So, we can write the equation in point slope form as -
y - 18 = (1/3)(x - 27)
Therefore, the equation in point slope form as -
y - 18 = (1/3)(x - 27)
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ1
The point slope form of the equation X - 3Y = -27 is Y = (1/3)X + 9. This equation represents a line with a slope of 1/3 and a y-intercept of 9.
Explanation:The point slope form of the equation X - 3Y = -27 is Y = (1/3)X + 9.
To convert the given equation to point slope form, isolate Y by subtracting X from both sides: -3Y = -X - 27. Then, divide both sides by -3 to solve for Y: Y = (1/3)X + 9.
This equation represents a line with a slope of 1/3 and a y-intercept of 9. This means that for every 1 unit increase in X, Y will increase by 1/3, and the line will intersect the y-axis at the point (0, 9).
Which ordered pair is the solution to the system of equations?
{y=x-4
{-4x+3y=-3
A.(0, −1)
B.(−9, −13)
C.(−6, −10)
D.(−6, 2)
Hope this helped...
MARK ME BRAINIEST PLEASE
Answer:
BWhich number line represents the following statement?
A number is more than negative five.
Describe how to graph a line given an equation in standard form.
charles sold his 350 shares of stock for $11.25 a share. when his broker issued him the check for his sale of the stock the amount of the check was $3868.59. how much was the rate of commission that his broker charged him for the transaction
Whenever the population has a normal probability distribution, the sampling distribution of is a normal probability distribution for?
Find the greatest common factor of 8a^3b^2 and 12ab^4.
PLEASE HELP ASAP
Graph the image of the given triangle after the transformation that has the rule (x, y)→(x+3, y−2) .
This is the triangle before you transform it.
) Why is the price system a more efficient system for allocating scarce resources than by authoritarian means, such as in command economies?
Step-by-step explanation:
Lets look at each of the options one by one:
Price System: In this system markets allocate resources through the price mechanism. An increase in demand raises price and encourages businesses to use more resources into the production of that good or service. In this system the government limits itself to protecting property rights of people and businesses using the legal system and protecting the value of money or the value of a currency.
Authoritarian System: In this system it is associated with a communist system. The scarce resources are owned by the government. The state allocates resources, and sets production targets and growth rates according to its own view of people's wants. They have their own idea of demand.
By comparing two systems it can be seen that Price System automatically moves resources to where they are most needed. So, price system is more efficient than authoritarian means.
In △ABC , GE=27 in.
What is the length of BE¯¯¯¯¯
?
Answer:
BE = 81Step-by-step explanation:
From the graph we can see that point G is the barycentre of the triangle, because it's formed by the intersection of the three medians of the triangle, which are defined as segments from a vertex to the midpoint of the opposite side.
From the intersection of all triangle medians we have that:
[tex]BG=2GE[/tex]
[tex]CG=2GF[/tex]
[tex]AG=2GD[/tex]
Also, we know by hypothesis that [tex]GE=27[/tex]. Replacing this value:
[tex]BG=2GE[/tex]
[tex]BG=2(27)=54[/tex]
Then, by sum of segments, we have:
[tex]BE=BG+GE[/tex]
[tex]BE=54+27=81.[/tex]
Therefore, BE = 81.