What lines are equidistant at all points?
Answers
In Euclidean geometry, parallel lines (lines that never intersect) are equidistant in the sense that the distance of any point on one line from the nearest point on the other line is the same for all points.
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.
There are 3 main rules:
Corresponding angles are equal. A line cutting across two parallel lines creates four pairs of equal corresponding angles, as in the diagram below.
Alternate angles are equalCo-interior angles add to 180°Vertically opposite angles are equalAngles on a line add to 180°Learn more about parallel lines to visit this link
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Related Questions
After reviewing her driving record for the past 3 years, Cindy's insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Bodily Injury $50/100,000 Property Damage $25,000 Collision $500 deductible Comprehensive $100 deductible Annual Premiums $31.75 $120.50 $275.75 $100.00 a $504.24 b. $523.50 C. $528.00 d. $551.76
Answers
Answer:
its A
Step-by-step explanation:
I just took the test on EDGE
The new annual premium including the discount is $504.24.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the new annual premium with the discount, we need to find the total premium and then subtract the discount.
The total premium is the sum of the individual premiums:
Total premium.
= $31.75 + $120.50 + $275.75 + $100.00
= $528.00
The discount is 4.5% of the total premium:
So,
Discount = 0.045 × $528.00 = $23.76
The new annual premium including the discount is:
New premium = Total Premium - Discount
= $528.00 - $23.76
= $504.24
Therefore,
The new annual premium including the discount is $504.24.
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You randomly select one card from a 52-card deck. find the probability of selecting a red six or a black king.
Answers
The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).
There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.
Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.
Since there are 52 cards in a deck, the total number of possible outcomes is 52.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13
Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.
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please explain this in steps please friends
Answers
Answer:
See below
Step-by-step explanation:
The LHS and RHS are exactly the same, so the equality is true.
The associate property of addition says that
\(\boxed{a+(b+c)=(a+b)+c}\)
In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.
\(\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )\)
\(\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}\)
\(\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}\)
\(\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}\)
\(\dfrac{ 23 }{12}\)
Answer:
You gotta give me (us) more to work with homie.
Step-by-step explanation:
If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(
Which pair of angles has congruent values for the sin x° and the cos y°?
A) 42°, 138°
B) 42°, 48°
C) 42°,132°
D) 42°, 42°
Answers
Answer:
B: 42°, 48°
Step-by-step explanation:
I took the test.
The pair of angles have congruent values for the sin x° and the cos y° is 42; 48.
What are congruent angles?Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure,
then
\(m\angle A = m\angle B\)
is the notation to say that they are of the same measurement, where the small m shows that its the measurement of the angles they're preceding.
We write the congruency between them as;
\(\angle A \cong \angle B\)
Congruent angles can be defined as a type of angle that is known to have all sides in equal measure.
sin x = cos (90-x)
therefore, sin 42 = cos(90-42)
= cos 48
Hence, option B) 42°, 48° is correct
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In 1895 , the first a sporting event was held. The winner's prize money was $140. In 2007 , the winner's check was $1,171,000. (Do not round your intermediate calculations.) Required: (a)What was the percentage increase per year in the winner's check over this period? (b)If the winner's prize increases at the same rate, what will it be in 2040?
Answers
The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.
To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:
Percentage Increase = (Final Value - Initial Value) / Initial Value * 100
a. Calculating the percentage increase:
Initial Value = $140
Final Value = $1,171,000
Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%
b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.
Number of years = 2040 - 2007 = 33 years
Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33
Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69
Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.
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i need help with this question please
Answers
Answer:
its cruked i dont see it
Step-by-step explanation:
A proportional relationship never passes though the orgin? True or faulse
Answers
Answer:
I think it is true
Step-by-step explanation:
Which approach to probability is exemplified by the following formula? Probability of an Event= Number of favourable Outcomes /Total number of possible outcome A) Classical approach B) Empirical approach C) Subjective approach D) None of the above
Answers
The approach to probability exemplified by the formula Probability of an Event = Number of favourable Outcomes / Total number of possible outcomes is the Classical approach to probability.
The Classical approach to probability is based on the assumption of equally likely outcomes and is often used when dealing with simple and well-defined experiments or situations. It involves counting the number of favorable outcomes (those that satisfy the desired condition) and dividing it by the total number of possible outcomes. This approach assumes that all outcomes have an equal chance of occurring.
In contrast, the Empirical approach involves conducting experiments or observations to gather data and estimate probabilities based on the observed frequencies. The Subjective approach relies on personal judgments or subjective assessments of probabilities based on individual beliefs or opinions.
Therefore, the correct answer is A) Classical approach.
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Peach Produces pays its employees by the formula, P(b)=52b+45 P b = 5 2 b + 45 , where P(b) P b is the employee’s total daily pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?
A $5.00
B $2.00
C $45.00
D $2.50
Answers
Answer:
$2.50
Step-by-step explanation:
Given the daily pay formula :
P(b)=5/2b+45
P(b) = employee’s total daily pay
b = number of bushels of peaches picked
Hence from the fórmula ; rate which employees are paid per bushel. Of peach picked is the gradient of the equation :
According to the intercept slope formula:
y = mx + c ; where m = slope or gradient
From the equation :
P(b)=5/2b+45
The slope or gradient is 5/2 ; hence, employees are paid $5/2 per bushel of peaches picked.
$5/2 = $2.50
If events A and B are independent, P(A) = 0.62, and P(
BA) = 0.93, what is P(B)?
O 0.41
O 0.93
O None of the other answers are correct
O 0.58
O 0.67
Answers
Answer:
Step-by-step explanation:
you’re given A=0.62 and B/A=0.93
you’re solving for B
substitute your A value of 0.62
B/0.62=0.93
same as B/0.62=0.93/1
now cross multiply
B= 0.62x0.93
B=0.5766
B=0.58
Jane has a bag of candy. She gives pieces to her friend. Then Jane's grandmother buys Jane 5 more pieces of candy than she had originally. Now Jane has 27 pieces of candy. How many pieces were in Jane's original bag of candy?
Answers
Answer: She would have 32 pieces of cand in her bag
Step-by-step explanation: 27+5=32
6. Check whether the following numbers are perfect square or not, by expressing each as the sum of
odd numbers
a. 91
b. 196
Plz help me
Answers
Hope this helps :))
1a, b/46 = 50/23 1b. 34/d = 68/44
Answers
Answer:
1a. 100, 1b. 22
Step-by-step explanation:
1a. Given information from the question:
\( \frac{b}{46} = \frac{50}{23} \\ 23b = (50)(46) \: (cross \: multiply) \\ b = \frac{50 \times 46}{23} \\ = 50 \times 2 \\ = 100\)
1b. Given information from the question:
\( \frac{34}{d} = \frac{68}{44} \\ 68d = (34)(44) \: (cross \: multiply)\\ \\ d = \frac{34 \times 44}{68} \\ d = \frac{44}{2} \\ = 22\)
Answer:
• \(b = \bf 100\)
• \(d = \bf 22\)
Step-by-step explanation:
To solve these questions, we need to rearrange the equations to make the unknown variables the subject of the equations.
1a.
\(\frac{b}{46} = \frac{50}{23}\)
⇒ \(b = \frac{50 \times 46}{23}\) [multiplying both sides by 46]
⇒ \(b = \bf 100\)
1b.
\(\frac{34}{d} = \frac{68}{44}\)
⇒ \(34 = \frac{68 \times d}{44}\) [multiplying both sides by d]
⇒ \(34 \times 44 = 68 \times d\) [multiplying both sides by 44]
⇒ \(\frac {34 \times 44}{68} = d\) [dividing both sides by 68]
⇒ \(d = \bf 22\)
Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.
Please help.
Answers
Answer:
Total stamps = 240
ratio= 3:8
3x + 8x = 240
11x = 240
x = 240/11 = 21.8
then, callum's stamps = 3x = 3 * 21.8 = 65.4
Isabel's stamps = 8x = 8 * 21.8 = 174.4
After buying the stamps,
ratio = 3:2
callum's stamps = 3x
Isabel's stamps = 2x
= 3x + 2x = 240
5 x = 240
x = 240/5 = 48
callum's stamps = 3x = 3 * 48 = 144
Isabel's stamps = 2x = 2 * 48 = 96
no. if stamps bought by calling = 144 - 65.4 = 78.6 stamps
hope it helps you
The expected variability or standard deviation of the means from many different random samples is known as what quantity?
Answers
This declaration is True.
The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.
What is the standard deviation of the sample means also called?The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.
What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?
Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.
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The given question is incomplete, complete question is:
The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter
Subtract. Your answer should be a polynomial in standard form. (-7d2 – 5d f3 – 3f3) - (8d+ 4d f3 +253)
Answers
Answer:
-9df^3 - 3f^3 - 7d^2 - 8d - 15625
Step-by-step explanation:
The focus of a parabola is (5,−1) and the directrix is y=−5 . The equation for this parabola can be expressed as y=a(x−h)2 + k . What are the values of a , h , and k ?
Answers
Step-by-step explanation:
To determine the values of a, h, and k in the equation of the parabola, we can use the properties of a parabola with a given focus and directrix.
1. The vertex of the parabola is the midpoint between the focus and the directrix. Since the directrix is y = -5, the vertex is (h, k) = (5, (-1 + (-5)) / 2) = (5, -3).
2. The value of a determines the shape and orientation of the parabola. Since the vertex is the lowest point on the parabola, and the directrix is below the focus, the parabola opens upward. Therefore, a > 0.
3. The distance between the vertex and the focus is equal to the distance between the vertex and the directrix. In this case, the distance between the vertex (5, -3) and the focus (5, -1) is 2 units. Therefore, the value of a can be calculated as 1 / (4 * |a|) = 2. Solving this equation for a, we find a = 1 / (8 * |a|) = 2, which implies |a| = 1/16. Since a must be positive, a = 1/16.
Now we have the values of a and (h, k), which are a = 1/16 and (h, k) = (5, -3). Thus, the equation for the parabola can be expressed as:
y = (1/16)(x - 5)^2 - 3.
Therefore, the values of a, h, and k for the parabola with a focus at (5, -1) and a directrix at y = -5 are a = 1/16, h = 5, and k = -3.
????????!1!!!!!!! HELPPPPPPPPPPP
Answers
Answer:
9
Step-by-step explanation:
Let us say, Olivia's age is x.
Now as the question says, we will get this equation.
\( ( \frac{1}{3} x ) + 12= 2x - 3\)
Multiply both sides by 3.
\(x + 36 = 6x - 9\)
Collect like terms.
\(x - 6x = - 9 - 36\)
Calculate.
\( - 5x = - 45\)
Divide both sides of the equation by -5.
\(x = 9\)
Then, we will get the answer.
I hope it helps.
i NEED HELP PLEASE hdhdhhdjdhdhd
Answers
Answer:
there was no question, but if your asking how much there shrinking by the top one comes first and the 2nd shrinks down to twice the size.
Step-by-step explanation:
What's the slope of the line
Answers
Answer:
3/2
Step-by-step explanation:
Count the steps up and to the side from a point you see where the line crosses through. This is a trick I learned:
"up 3 over 2"
3/2
HTH :)
Each time any customer enters a coffee shop, there
is a probability of that their order will include a
latte.
3
If the order includes a latte, there is a probability of
3 that it will also include a cookie.
4
If the order does not include a latte, there is a
2
probability of that it will include a cookie.
What is the probability that the next customer to
enter the shop will order a cookie?
Answers
The probability that the next customer to enter the shop will order a cookie is given as follows:
31/60.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The outcomes in which a cookie is ordered are given as follows:
3/4 of 1/3 -> includes a latte.2/5 of 2/3 -> does not include a latte.Hence the probability is obtained as follows:
3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.
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Find the equation of the line that contains the given point and has the given slope.P(−1, 7), m = −3
Answers
Answer:
y = -3x+4
Step-by-step explanation:
y = -3x+b
7=-3(-1)+b
7=3+b
4=b
The Suffolk Library has 102,673 books. The
Newberry Library has 106,329 books. How
many more books does the Newberry Library
have ?
Answers
Answer:
Step-by-step explanation:
Newberry Library has 3656 more books
9u^2-11u+7=0
Please help
Answers
Answer:
= − 1 3 1
Step-by-step explanation:
No real solutions because the discriminant is negative
The square root of a negative number is not a real number
When James has five apples and he gives Aliya one apple how many apples does he have left
Answers
Answer: He has 4 apples left.
Step-by-step explanation:
5-1=4
(hope this helps)
Answer:4
Step-by-step explanation: James had 5 apples which later he gave one to aliya so 5-1 is 4
so..my teacher NEEDS work from us so please don't put a random answer i need the work for that. thanks
Answers
Answer:
Original Equation: s + 3 1/2 = 8 1/2
Subtract 3/12 from both sides: s + 3 1/2 - 3 1/2 = 8 1/2 - 3 1/2
Simplify: s = 5
So, A is the correct answer.
Let me know if this helps!
Question
Find the value of y for the given value of x.
y=7x;x=−5
Answers
Answer:
\(y = - 35\)
Step-by-step explanation:
\(y = 7x \\ y = 7( - 5) \\ y = - 35\)
Bear Stearns' stock price closed at $98, $103, $58, $29, $4 over five successive weeks. What is the weekly standard deviation of the stock price calculated from this sample?
Answers
The weekly standard deviation of the stock price calculated from this sample is 42.957
Given info,
Bear Stearns' stock price closed at $98, $103, $58, $29, and $4 over five successive weeks,
To find the weekly standard deviation of the stock price calculated from this sample,
We use,
μ = (98 + 103 + 58 + 29 + 4) / 5
μ = 58.4
The mean of this sample is 58.4
The standard deviation is,
σ = \(\sqrt{\frac{(98-58.4)^2+(103-58.4)^2+(58 - 58.4)^2+(29-58.4)^2+(4-58.4)^2}{(5-1)} }\)
σ = √1845.3
σ = 42.957
Hence, the standard deviation is 42.957
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find that area please
Answers
Okay so you divide the shape into three shapes. A square with the sides as 4•4. A rectangle with the sides 4•2. And a triangle with the sides 4•2.
4•4 = 16
4•2= 8
4•2 divided by 2 = 4
Then add
16+8+4= 28
I’m not for sure if this is right if it’s wrong just ignore it I’m sorry
2) What is the inequality that this graph represents? -15 # 3 6 x
Answers
Answer: \(y < -\frac{1}{2}x+3\)
This is the same as writing y < (-1/2)x+3
==============================================================
Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing \(y = -\frac{1}{2}x+3\)
We shade below the dashed line to represent the inequality \(y < -\frac{1}{2}x+3\). Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.