On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).
Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.
The slope of diagonal PS is
.
The slope of diagonal QR is
Step 2: Calculate the midpoint of the diagonals.
The midpoint of PS is
The midpoint of QR is
.
The diagonals of the square are perpendicular bisectors because the diagonals are
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Answer:
Step-by-step explanation:
Answer: The answers are: -1, 1, (2, 2), (2, 2), & perpendicular and share the same point.
Step-by-step explanation: Trust Me! Answer is correct in Edge.
Good Luck! :)
The slope of diagonal PS is -1 The slope of diagonal QR is 1The midpoint of PS is (2, 2) The midpoint of QR is (2, 2)The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same point.Related Questions
Please Help! Give full description on how you did both pls. Giving brainleist.
Answers
Answer:
7. m^21n^27
8. a^21b^28
Step-by-step explanation:
7. since m^7 raised to the 3rd power = m^( 7 * 3 ) = m^21
then n^9 raised to the 3rd power = n^( 9 * 3 ) = n^27
your answer is m^21n^27
8. a^3 raised to the 7th power = a( 3 * 7 ) = a^21
b^4 raised to the 7th power = b( 4 * 7 ) = b^28
your answer is a^21b^28
hope this helps:)
If x and y vary inversely and x = -9 when y = -30, what is the constant of variation
Answers
Answer:
270
Step-by-step explanation:
x = k/y This is an inverse relationship with k = constant of proportion (or variation)
-9 = k/(-30)
k = -9 * -30 = 270
Answer:
Constant of variation = 270.
Step-by-step explanation:
y = k/x
-30 = k / -9
k = -30 * -9
k = 270
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin. Use the polygon tool to graph the dilated figure.
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Answer:
answer is (-2,1), (-1,4), (1,2)
pls mark me as brainliest
can u guys help me with this
Answers
Answer:
Step-by-step explanation:
A.) 16500 Seconds
B.) 12569 Seconds
C.) 38116 Seconds
D.) 20700 Seconds
E.) 7256
Please help I’m so tired of zearn
Answers
Answer:
3
Step-by-step explanation:
At this stage, you have to isolate x. To do this, you must divide by 7 on each side of the equation. 21/7 is 3.
Hope this helped!
find the value of x in the given figure
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Answer:
20
Step-by-step explanation:
2x+3x+4x = 180 degree
9x = 180
X = 20.
40 points please give the right answer
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Step-by-step explanation:
dk if this makes sense
Which ordered pairs represent the equivalent ratios in the table? check all that apply.
(1, 2)
(1, 4)
(2, 8)
(4, 1)
(3, 12)
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Answer:
(1,4) and (2,8)
Step-by-step explanation:
If you write these 2 ordered pairs as a fraction: 1/4 and 2/8 you can see that they are both equivalents.
Answer:
B, C and D
Step-by-step explanation:
Edge 2022/2023
find the surface area of the trianlurprisum.
Answers
Answer: 56
Step-by-step explanation:
you multitouch answers I think
4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.
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Answer:
116 centimeter squared
Step-by-step explanation:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
2- If A=(3, 4) and B = (7,8), find AB.
Answers
Use distance formula and take this question down, easily.
Step-by-step explanation:
Distance xy =
[tex] \sqrt{ {(x_2 - x_1) }^{2} + {(y_2 - y_1)}^{2} }[/tex]
Therefore AB
=[tex]\sqrt{(7-3)^2 +(8-4)^2}[/tex]
=[tex]\sqrt{(4)^2 +(4)^2}[/tex]
=[tex]\sqrt{32}[/tex]
=[tex]\boxed{4 \sqrt{2}-units} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex]\large\underline{ \boxed{ \sf{✰\:Important\: points }}}[/tex]
➢ Here question is asking to find the distance between points "A" and "B"
➢we can easily solve such ques by understanding a simple concept of Euclidean distance formula
➢ DISTANCE FORMULA :- Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions
[tex]\rule{80mm}{2.5pt}[/tex]
[tex]{ \boxed{✜\underline{ \boxed{ \sf{Distance \: Formula = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2} } }}}✜}}[/tex]
★ Here
[tex] \sf \:➣ x_2 = 7 \\ [/tex][tex] \sf➣x_1=3[/tex][tex] \sf➣y_2=8[/tex][tex] \sf➣y_1=4[/tex][tex]\rule{80mm}{2.5pt}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Now\: substitute\:value}}}[/tex]
[tex]\sf \: ➛ \: distance = \sqrt{{(x_2 - x_1)}^{2} + {(y_2 - y_1) }^{2}} \\ \sf \: ➛distance = \sqrt{{(7 - 3)}^{2} + {(8 - 4) }^{2}} \\ \sf ➛solving \: bracket\\ \sf \: ➛distance =\sqrt{{(4)}^{2} + {(4) }^{2}} \\ \sf \: ➛solving \: square \: roots \\ \sf \: ➛distance = \sqrt{32} \\ \sf \: ➛distance = \sqrt{16 \times 2} \\ \sf \: ➛distance = \sqrt{4 \times 4 \times 2} \\ \sf \: ➛distance =4 \sqrt{2} units[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
Hence distance of AB =
[tex]{ \boxed{✟\underline{ \boxed{ \sf{\: AB=4 \sqrt{2}units {\green ✓}}}}✟}}[/tex]
Hope it helps !
The cost of hiring a games console has a one-off cost of £9 plus 50p every day.
Write a formula for the cost (C) in pounds (£) of hiring a games console for f days.
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Please let me know if it’s correct also please mark brainliest please.
PLEASE HELP ME IN MY MATH PROBLEM
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The values are
.|8|=8|-8|=8-|8|=-8-|-8|=-8First plot two dots on 8
Then rest two on -8
Answer:
See below ~
Step-by-step explanation:
Solving :
|8| = 8|-8| = 8-|8| = -8-|-8| = -8A factory produces a batch of toy vehicles, 1/3 of which are cars and the rest are trucks. trucks have defective ratio of 0.02 and cars have defective ratio of 0.01. the quality inspector picks a toy vehicle at random from the batch and finds out that it is defective. what is the probability that the vehicle was a truck
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Answer:
Step-by-step explanation:
b
Factorize (x-q) (2f+k)-f(r-q)
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Answer:
..........................
Estimate, to the nearest degree, the size of each radian measure in degrees.
a) 2.5
b) 5.2
c) 6.8
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B. Just saying, this is an estimate, yet it seems more logical.
One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job
Answers
Answer:
20 hrs
Step-by-step explanation:
t = third worker
1 / ( 1/20 + 1/15 + 1/t) = 6
1 = 6/20 + 6/15 + 6/t
3/10 = 6/t
t = 20 hrs
will give brainliest
69 + 420 / 3 = ?
Answers
Answer:
hope this will help you
Step-by-step explanation:
69+420/3
first of all divide 420 by 3 which is 140
69+140
then add with 69
209
Answer:
The correct answer should be 209.
Step-by-step explanation:
Also here Is your art my good sir!
This is to get easy points but to also be kind
If Carmen drives 17.5 miles to a grocery store and 17.5 miles back then can’t find what she needs so she drive 12.5 miles to a gas station and 12.5 back how many miles did she drive.
I will be giving points out for being on this app so be on the lookout
Answers
Answer:
60 miles
Step-by-step explanation:
Distance travelled :
2 x Distance to grocery + 2 x Distance to gas station2(17.5) + 2(12.5)35 + 2560 milesIn 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
Work out the percentage decrease in the mass of the chocolate
bar from 2017 to 2018.
Pls help i didn’t understand what the teach said
Answers
Answer:
12% decrease
Step-by-step explanation:
given:
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
The difference in mass is 250 - 220 = 30g
30 / 250 = 0.12 which is how much out of the 250g
0.12 x 100 = 12
12% decrease in the mass of chocolate bars from 2017 to 2018.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
According to the question, it is given that
The mass chocolate bar had a mass of 250g in 2017
The mass of the chocolate bar was reduced to 220g in 2018
We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=(250-220)/250×100
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=30/250×100
=0.12×100
=12%
Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.
To learn more on Percentage click:
https://brainly.com/question/28269290
#SPJ2
please solve
5x+3x-2x=
Answers
Answer:
hope it help you
Step-by-step explanation:
[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]
Answer:
6x
Step-by-step explanation:
Take x as the common factor and calculate.
5x + 3x - 2xx (5 + 3 - 2)x (8 - 2)6xHelp me pleaseeee 25 points.
Answers
then take both of those answers and add them together and thats it.
(the two semicircles make one circle so only one calculation is needed for that :)
area of semicircle + area of square + area of semicircle
I think 149.04 in²
Mr castle shares out 32 marbles between emily and zak in the ratio of 3:1. how much marbles does each child get?
Answers
Answer:
Emily=24 marbles Zak=8 marbles
Step-by-step explanation:
sum of ratio= 3+1=4
Emily: Zak= 3:1
no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles
= [tex]\frac{3}{4}[/tex]×32
=24 marbles
No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32
=8 marbles
Three straight lines are shown in the diagram.
310°
a
C
38%
87%
Answers
Step-by-step explanation:
______________________The sum of angle at a point is 360° so...
310° + a = 360°
a = 360° - 310°
a = 50°
Now...
here b and 180° are supplementary angle so ....
b = 180° - 80°
b = 100°
Again...
The sum of all angle of triangle is 180° so...
100° + 50° + c = 180°
150° + c = 180°
c = 180° - 150°
c = 30°
______________________Hence...the value of a is 50° , b is 100° and c is 30°...
______________________Which property is demonstrated below? startfraction 17 over 3 endfraction times startfraction 3 over 17 endfraction = 1 associative property of multiplication inverse property of multiplication identity property of multiplication commutative property of multiplication
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The property applied to the expression is (b) inverse property of multiplication
How to determine the property?The expression is given as:
[tex]\frac{17}{3} * \frac{3}{17} = 1[/tex]
The numbers 17/3 and 3/17 are multiplicative inverses.
This means that the property applied to the expression is (b) inverse property of multiplication
Read more about expression properties at:
https://brainly.com/question/723406
#SPJ4
Answer:
Inverse Multiplication
Step-by-step explanation:
If you want the work to be shown, look up, otherwise my answer was B on Edge 2022
A 2.905x10 B 2.905x10 C 2.95x10
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Answer:
a. 29.05 b. 29.05 c. 29.5
which of the following is a true statement
Answers
Answer:
The correct answer is the second one.
Step-by-step explanation:
68/5 - 18/5 = 50/5
50/5 simplified is 10
Making the second equation true.
Hope this helps:) Goodluck!
find the circumference and the area of a circle with 6m.
write your answer in terms of π, and be sure to include the correct units in your answer
Answers
Answer:
C = [tex]12\pi m[/tex]
A = [tex]36\pi m^2[/tex]
Step-by-step explanation:
I'm going to assume that the radius is 6m. The circumference of a circle is [tex]C = 2r\pi[/tex]. So we can plug in 6 for r and we get the circumference is [tex]12\pi m[/tex].
For area, the equation is [tex]A = \pi r^{2}[/tex]. So we can again plug in 6 for r and we get that the area is [tex]36\pi m^2[/tex].
If 6m is the diameter, then the circumference is [tex]6\pi m[/tex] and the area is [tex]9\pi m^2[/tex].
What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem
Answers
Answer:
C) SSA Similarity Theorem
Step-by-step explanation:
The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.
IMPORTANT HELP PLEASE ANSWER IMMEDIATELY!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation. Show all your work.
(x/(x−2))+((x−1)/(x+1))=−1
Answers
Answer:
Step-by-step explanation: