Answers
Given: Figure of a plane named Q with a normal [tex]\overleftrightarrow{BF}[/tex] at point B, containing two lines [tex]\overleftrightarrow{AC}[/tex] and [tex]\overleftrightarrow{DE}[/tex] that intersect at point B
To find:
Another name for [tex]\overleftrightarrow{AB}[/tex] Two other names for plane QWhy EBD is not an acceptable name for plane QA line is named using any two points lying on it. A plane, on the other hand is named using any three non-collinear points lying on it.
The logic behind this is that there is an unique line passing through any two points. So, any two points lying on a line is sufficient to name the line.
Similarly, an unique plane can be found that passes through any two lines. That is, any two lines lying on a plane is sufficient to name the plane. Since a line can be defined uniquely by two points, two lines can be defined uniquely by two points each, that is, four points. However, if we take a common point, that is, if we take the point of intersection of the two lines as one of our points, then we need at most three points to define a plane.
Note that, we have to take care that the three points be non-collinear, because if they are collinear, they can only give a single unique line which is not sufficient to uniquely give a plane. Indeed, infinite number of planes passes through a single line.
So, we name a line using two points lying on it and a plane using three non-collinear points lying on it.
Now, the line [tex]\overleftrightarrow{AB}[/tex] clearly passes through points A and B. As can be seen from the figure, it also passes through the point C. We name a line using any two points lying on the line.
So, another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex].
The plane Q contains the points A, B, C, D and E of which the points A, B and C, and the points E, B and D are collinear. So, choosing two sets of three points each such that they are non-collinear, we can have points A, E and C, and the points C, D and B.
Equivalently, two other names for the plane Q can be AEC and CDB.
EBD is not an acceptable name for plane Q because the points E, B and D are collinear points, that is they lie on the same line.
So, we have found that another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex], two other names for the plane Q can be AEC and CDB, and EBD is not an acceptable name for plane Q because the points E, B and D are collinear points.
Learn more about naming of lines and planes here:
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Related Questions
The formula for the area (A) of a circle is A = π • r2, where r is the radius of the circle. Ronisha wants to find the area of a sector of a circle that has a central angle of π6 radians. Enter the number that Ronisha should multiply by to find the area of the sector of the circle. Round your answer to the nearest hundredth.
Answers
Greetings from Brasil...
Here we will apply rule of 3...
This formula, A = πR², its for the whole circle, that is, 360° (2π)
We want the area of only a part, that is, a circular sector whose angle π/6
sector area
2π ----- πR²
π/6 ----- X
2πX = (π/6).πR²
2πX = π²R²/6
X = π²R²/12π
X = πR²/12If Ronisha multiply the area by 1/12 she will get the area of sector with angle of π/6
Ayuda con esto de geometría
Answers
Answer:
Baba
Step-by-step explanation:
Booey
Bill spent $42 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he
spend on fruit?
Answers
Answer:
70%
Step-by-step explanation:
To find the total percentage of his $60 dollars that he spent on fruit, we simply take the amount of money spent on fruit divided by the total spent.
% spent on fruit = 42 / 60
% spent on fruit = 0.7
% spent on fruit = 70 %
Cheers.
Answer:
70%
Step-by-step explanation:
so he spent 42/60
lets simplify by dividing on both sides by 2
21/30
then divide by 3
7/10
which is also 70/100
so 70%
yaaaaayyyy we r done!!!!!!!!!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
67) Interest on a Loan: Jeff Hubbard borrowed $800 from his brother for 2 years. At the end of 2 years, he repaid
the $800 plus $128 in interest. What simple interest rate did he pay?
Answers
Answer:
0.08%
Step-by-step explanation:
2 years,
the $800 plus $128 in interest. What simple interest rate did he pay?
128/2
$64 a year
64/800=0.08
so 0.08%
The value of which of these expressions is closest to e?
33
31
B.
O A. (1-5
+39)
(1+0)
(1+3)
32
C.
134
D.
Answers
Answer:
(1 +1/34) to the power of 34
Step-by-step explanation:
Ernesto solves the equation below by first squaring both sides of the equation. \sqrt{\dfrac{1}{2}w+8}=-2 2 1 w+8 =−2square root of, start fraction, 1, divided by, 2, end fraction, w, plus, 8, end square root, equals, minus, 2 What extraneous solution does Ernesto obtain?
Answers
Answer:
w = -8Step-by-step explanation:
Given the equation solved by Ernesto expressed as [tex]\sqrt{\dfrac{1}{2}w+8}=-2[/tex], the extraneous solution obtained by Ernesto is shown below;
[tex]\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8[/tex]
Hence, the extraneous solution that Ernesto obtained is w = -8
idk know the answer i really need help
Answers
Answer:
37x - 13
Step-by-step explanation:
Hello!
The product of 37 and x mean multiply so we can write it as
37x
13 less means subtract so we put that at the end
37x - 13
The answer is 37x - 13
Hope this helps!
Answer:
37 * x - 13
This answer is here according to your question It said that 37*x - 13 Please mark this answer The brainliest one
Can anyone help me with this ??
Answers
Answer:
y=x+-5
Step-by-step explanation:
y is x+-5 because as you can see in the graph the difference in everysingle one is -5 so y=x-5
Answer:
y=x+(-5)
Step-by-step explanation:
d=-3-(-4)=-3+4=1
y-(-4)=1(x-1)
y+4=x-1
y=x-1-4
or y=x+(-5)
What is the value of the expression below when z=4?
10z-3
Answers
Answer:
37
Step-by-step explanation:
10z - 3 = 10(4) - 3
=40-3
=37
Answer:
37
Step-by-step explanation:
10*4-3 (z=4)
40-3
37
Hope it helps you
What is 10+x-15-3x please
Answers
Answer:
-2x-5
Step-by-step explanation:
10+x-15-3x
Combine like terms
10-15 +x-3x
-5 -2x
We normally put the variable first
-2x-5
Which function has a range of y < 3? y=3(2)x y = 3(3)x y = -(2)x+ 3 y = (2)x-3
Answers
Answer:
Third option is the correct answer
[tex]y = -(2)x+ 3[/tex]
Step-by-step explanation:
Given functions are:
[tex]y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3[/tex]
To find:
The function which has a range [tex]y <3[/tex] ?
Solution:
First of all, let us learn about the terms Domain and Range for a function:
[tex]y = f(x)[/tex]
Domain is the value of [tex]x[/tex] which is given as input to the function and gives a valid value of output as [tex]y[/tex] (i.e. function is defined).
Range of a function is the value [tex]y[/tex] that comes as output when given a valid value of [tex]x[/tex] as input.
Now, let us consider the given options above.
Third option is the correct answer.
[tex]y = -(2)x+ 3[/tex]
As we can see, [tex](2)x[/tex] is subtracted from 3 so [tex]y[/tex] will have a value which is lesser than 3.
i.e. range will be [tex]y <3[/tex].
No other function has such condition present in it.
[tex]y = -(2)x+ 3[/tex] is the correct answer.
help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.
Answers
Answer:
Domain is the whole R and the range is R+. The domain is continuous
What’s the function of the Unit Circle and why is it called the unit Circle?
Answers
Answer:
It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.
Step-by-step explanation:
Calculate the sum and enter it below.
8+ (-12)
Answers
Answer:
-4 is the answer
Answer:
-4
Step-by-step explanation:
8+(-12)
+ x - = -
8-12
-4
Musah stands at the center of a rectangular field.He takes 50 steps north,then 25 steps West and finally 50 on a bearing of 315°. Sketch Musah's movement How far west is Musah's final point from the center? How far north is Musah's final point from the center?
Answers
Answer:
The distance of Musah's final point from the center in the west direction is 60.355 steps
The distance of Musah's final point from the center in the north direction is 85.355 steps
Step-by-step explanation:
Given that :
Musah stands at the center of a rectangular field.
He takes 50 steps north, then 25 steps West and finally 50 on a bearing of 315°.
The sketch for Musah's movement is seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far west;
Then d = BC + CD cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex] )
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
How far north is Musah's final point from the center?
Let d₁ be the distance of how far North;
Then d₁ = AB + CD sin θ
d₁ = 50 + 50 sin 45°
d₁ = 50 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex] )
d₁ = 50 + 50( 0.7071)
d₁ = 50 + 35.355
d₁ = 85.355 steps
Plz ans ASAP! Tysm! Pzlllzzz!
Answers
Answer:
Step-by-step explanation:
Number of class intervals = 7
Class width = 5
Class intervals (heights) Frequency (Number of boys)
130 - 135 3
136 - 140 5
141 - 145 3
146 - 150 5
151 - 155 2
156 - 160 1
161 - 165 1
Therefore, frequency table given above will represent the distribution of the heights and number of students.
A runner jogged 4 miles in ten laps around a circular
track. What is the greatest distance straight across
the track?
Answers
Answer:
.1273 mi = 627.2 feet
c = 2[tex]\pi[/tex]r
.4 = 2[tex]\pi[/tex]r
r = [tex]\frac{.4}{2\pi }[/tex]
r = [tex]\frac{.2}{\pi }[/tex]
d = [tex]\frac{.4}{\pi }[/tex]
d = .1273 mi = 627.2 feet
Step-by-step explanation:
As a burglar reaches for something on the mantel, accidentally knocks over a clock. It falls to the floor, breaks, and stops. The next morning, however, pol.ice aren't able to determine what time the robbery took place. Why not?
Answers
Answer: There is no way of finding out if the clock worked before then, and if it stopped at P.m or A.m.
Step-by-step explanation:
Let's say the robber broke the clock at 3 a.m, the police would first of all not have any idea if the clock was indeed broken before the robber knocked it over, and the clock has no way of saying whether it was broken at 3 a.m. or 3 p.m, therefore it's rendered useless.
Joe travels at a constant speed of 80 miles per hour for ten hours. How many miles will he travel in ten
hours? How many kilometers will he travel in ten hours? (1 mi= 1.6 km)
Answers
Answer:
1287.48 km
Step-by-step explanation:
80 miles = 128.748 km
Distance = Speed x TimePutting in 'x' for distance
x = 80*10
x = 800 miles
or
x = 1287.48 km
In a circle, an arc measuring 130° is what percentage of the circumference of the circle
Answers
Answer:
≈ 36.1%
Step-by-step explanation:
In any circle the following ratio is equal
[tex]\frac{arc}{circmference}[/tex] = [tex]\frac{centralangle}{360}[/tex] = [tex]\frac{130}{360}[/tex] , thus
percentage = [tex]\frac{130}{360}[/tex] × 100% ≈ 36.1%
an arc measuring 130° is approximately 36.11% of the circumference of the circle.
To find the percentage of the circumference that an arc measuring 130° represents, we need to calculate the ratio of the arc length to the circumference of the circle and then convert it to a percentage.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Let's assume the radius of the circle is r.
The circumference of the circle is C = 2πr.
To find the length of the arc corresponding to 130°, we need to calculate the fraction of the total angle (360°) that 130° represents:
Fraction of the angle = (130° / 360°) = (13/36).
Since the fraction of the angle is equal to the fraction of the arc length to the circumference, the length of the arc can be calculated as:
Arc length = Fraction of the angle * Circumference = (13/36) * (2πr).
Now, to find the percentage of the circumference that the arc length represents, we divide the arc length by the circumference and multiply by 100:
Percentage = (Arc length / Circumference) * 100
Percentage = [(13/36) * (2πr)] / (2πr) * 100
Percentage = (13/36) * 100
Percentage = 36.11%
Therefore, an arc measuring 130° is approximately 36.11% of the circumference of the circle.
Learn more about arc length here
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What is the answer to this question +8+(+4)
Answers
Answer:
12 is the answer of this questions.
Step-by-step explanation:
Thank you for you question.
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.) y = 32,000(1.08)x y = 32,000(0.08)x y = 34,560(1.08)x y = 34,560(0.08)x
Answers
Answer:
y = 32,000(1.08)^x
Step-by-step explanation:
The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.
In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)
If we plug these into the equation, we get the equation y = 32,000(1.08)^x
So, y = 32,000(1.08)^x is the correct answer.
Answer:
A
Step-by-step explanation:
on edge 2020
Calculate:
a) QR
b) PS
c) The area of quadrilateral PQRS
Answers
Greetings from Brasil...
For QR: we need to use the Sine Law in Any Triangle....
QS/SEN 72 = QR/SEN 25
6/SEN 72 = QR/SEN 25
6,3 = QR/SEN 25
QR = 2,66For PS: we need to use the Cosine Law in Any Triangle....
PS² = PQ² + QS² - 2.PQ.QS.COS Q
PS² = 7,4² + 6² - 2.(7,4).6.COS 34
PS² = 90,76 - 73,61
PS = √17,14
PS = 4,14For area we use Heron's Formula 2x.....
for ΔQRS = A1:
A1 = √[P.(P - QR).(P - RS).(P - QS)]
where P = (QR + RS + QS)/2
A1 = √[P.(P - QR).(P - RS).(P - QS)]
RS = 6,26 (using RS/SEN 97 = QS/SEN 72)
P = (2,66 + 6,26 + 6)/2
P = 14,92/2 ⇒ P = 7,46
A1 = √[7,46.(7,46 - 2,66).(7,46 - 6,26).(7,46 - 6)]
A1 = 7,92
for ΔPQS = A2:
A2 = √[P.(P - PQ).(P - PS).(P - QS)]
P = (7,4 + 4,14 + 6)/2 = 8,77
A2 = √[8,77.(8,77 - 7,4).(8,77 - 4,14).(8,77 - 6)]
A2 = 12,41
Total Area = A1 + A2
Total Area = 7,92 + 12,41
Total Area = 20,33see more:
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— 12 — бр – (-2)
HELP ASAP
Answers
Answer:
-10 - 6p
Step-by-step explanation:
-12 - 6р - (-2)
~Combine like terms
-10 - 6p
Best of Luck!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]
Please someone help ASAP!!!!!!
Answers
Answer:
1.7 million in Northern Ireland
Step-by-step explanation:
Simply do the difference between the number of people in the UK, minus the number of people in everywhere else except northern Ireland. That is:
60.2 M - 50.4 M - 5.1 M - 3.0 M = 1.7 M
Answer:
[tex]\boxed{1.7 million}[/tex]
Step-by-step explanation:
Hey there!
To find the amount of people who lived in Northern Ireland in 2005 we need to subtract the total 60.2 mil by the England, Scotland, and Wales people.
50.4 + 5.1 + 3
= 58.5
Now we can set up the following equation,
NI = 60.2 - 58.5
NI = 1.7 million
Hope this helps :)
What is the value of x in the equation 3x-4y=65, when y=4?
x=13 1/4
x=21 2/3
x =23
x = 27
Answers
Hello there! :)
Answer:
[tex]\huge\boxed{x = 27}[/tex]
Given the equation:
3x - 4y = 65 where y = 4
Substitute in 4 for "y":
3x - 4(4) = 65
Simplify:
3x - 16 = 65
Add 16 to both sides:
3x - 16 + 16 = 65 + 16
3x = 81
Divide both sides by 3:
3x/3 = 81/3
x = 27.
Explanation:
3x - 4y = 65
3x - 4(4) = 65
3x - 16 = 65
3x = 65 + 16
3x = 81
x = 81/3
x = 27
Solve the equation
(If possible please show work)
Answers
Answer:
Step-by-step explanation:
-8 + 8a = -12 + 4a
4a - 8 = -12
4a = -4
a = -1
Answer:
a = -1
Step-by-step explanation:
[tex]4(-2+2a) = -12 +4a\\-8+8a=-12+4a\\8a = -4 +4a\\4a=-4\\\frac{4a}{4} =\frac{-4}{4} \\a=-1[/tex]
I hope that makes since... I tried to show my work the best I could.
(x - y) + 2y + x3, when x = -3 and y=7
plss help
Answers
Katherine's class is selling raffle tickets for $3 to raise money for charity. Katherine's class raised $504. Which equation would you use to find the number of tickets sold?
Answers
Answer:
3T=504
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answers
Answer:
No adda doesnt get free delivery
Step-by-step explanation:
Answer: A) No, the distance from the restaurant to Ada’s house is Square Root of 41 miles, which is greater than the 6-mile maximum radius.
Step-by-step explanation: