BRAINIEST!!! only answer if you know and can give an explanation, will report for non-sense answers
Answers
Answer:
Below
Step-by-step explanation:
For a given shape to be a rhombus, it should satisfy these conditions:
● The diagonals should intercept each others in the midpoint.
● The diagonals should be perpendicular.
● The sides should have the same length.
We will prove the conditions one by one.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's prove that the diagonals are perpendicular:
To do that we will write express them as vectors
The two vectors are EG and DF.
The coordinates of the four points are:
● E(0,2c)
● G (0,0)
● F (a+b, c)
● D (-a-b, c)
Now the coordinates of the vectors:
● EG (0-0,0-2c) => EG(0,-2c)
● DF ( a+b-(-a-b),c-c) => DF (2a+2b,0)
For the diagonals to be perpendicular the scalar product of EG and DF should be null.
● EG.DF = 0*(2a+2b)+(-2c)*0 = 0
So the diagonals are perpendicular.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's prove that the diagonals intercept each others at the midpoints.
The diagonals EG and DF should have the same midpoint.
● The midpoint of EG:
We can figure it out without calculations. Since G is located at (0,0) and E at (0,2c) then the distance between E and G is 2c.
Then the midpoint is located at (0,c)
● The midpoint of DF:
We will use the midpoint formula.
The coordinates of the two points are:
● F (a+b,c)
● D(-a-b,c)
Let M be the midpoint of DF
●M( (a+b-a-b,c+c)
● M (0,2c)
So EG and DF have the same midpoint.
■■■■■■■■■■■■■■■■■■■■■■■■■■
There is no need to prove the last condition, since the two above guarante it.
But we can prove it using the pythagorian theorem.
Related Questions
please i need help lol The amount of clay students used for their last art project is weighed. The line plot displays the amounts of clay. How much more clay did the students who used of a pound use than the students who used of a pound?
Answers
Answer:
2 1/4
Step-by-step explanation:
We need to see how much clay they used if each person in that group used 3/4 clay. There are 4 people in the group.
=> 3/4 x 4 = 12/4 = 3
Now, we need to see how much clay they used if each person in that group used 1/4 clay. There are 3 people in the group
=> 1/4 x 3 = 3/4
Now, we need to see how much more clay was used.
=>3 - 3/4
=> 3/1 - 3/4
=> Take the LCM of the denominators and make the denominators equal.
=> 12/4 - 3/4
=> 9/4
They used 9/4 more clay.
Since there are no options with 9/4, we need to make this improper fraction into a proper fraction.
=> 9/4 = 2 1/4
They used 2 1/4 more clay.
1. At the end of one school day a teacher had 17 crayons left. The teacher remembered
giving out 14 crayons in the morning, getting 12 crayons back at recess, and giving out
11 crayons after lunch. How many crayons did the teacher have at the start of the
day?
Answers
Answer:
30 crayons
Step-by-step explanation:
Let x be the number of crayons he started with
gave out 14 crayons
x-14
Got 12 back
x-14+12
Gave out 11 after lunch
x-14+12 -11
This equals 17
x-14+12 -11 =17
Combine like terms
x-13 = 17
Add 13 to each side
x -13+13 =17+13
x = 30
Answer: 30
Step-by-step explanation:
For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!
I need the answers for Q10 part b and Q11 ASAP!!!
Answers
Answer:
Q10ii: x axis horizontal, y axis vertical, a straight line through the origin and point (5,20)
Q11i: z = 8y
Q11ii: y axis horizontal, z axis vertical, a straight line through the origin and (6,48)
Step-by-step explanation:
Linear proportions will always produce straight lines when graphed. Also, they will have to go through the origin when there is not some kind of offset.
Recall the difference between an equation and an inequality. Then, identify whether these mathematical statements represent an equation or an inequality.
Answers
Answer:
If it were an equation, it would be in the form ax+by+c=0, however if it were an inequality, instead of the equal sign it would be an inequality sign like greater than or less than.
Step-by-step explanation:
If the measure of the base of a triangle is 3b+2 and the height is 4b,represent the area of the triangle
Answers
Answer:
6b^2 +4b
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 * (3b+2) * (4b)
=1/2 (12 b^2 +8b)
= 6b^2 +4b
If graphs have a linear equations in a system are concurrent having the same slope and the same y-intercept what does that mean about possible solutions
Answers
Answer:
Infinite Amount of Solutions
Step-by-step explanation:
Since we have concurrent systems (same slope + same y-int), we know that the systems of equations would be the exact same line. If that is the case, the we would know that ANY value input would work. You could even test it mathematically, and it would give you infinite amount of solutions.
Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answers
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
[tex]\Large \boxed{161\°}[/tex]
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
I need help on answering this question
Answers
Answer:
The answer is 72°Step-by-step explanation:
Since < RQS = < QLK and < RQS = x
< QLK is also x
< QLK and < KLM lie on a straight line
Angles on a straight line add up to 180°
To find x add < QLK and < KLM and equate them to 180°
That's
< QLK + < KLM = 180°
x + x - 36 = 180
2x = 180 - 36
2x = 144
Divide both sides by 2
We have the final answer as
x = 72°Hope this helps you
Covert the verbal expression into an algebraic expression.
Two more than five times a number x.
Answers
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
"Two more than five times a number x." means:
2 + 5 × x
14. Simplify the expressions
a. 12 - 5y + 21 + y -23
Answers
Answer:
10 - 4y
Step-by-step explanation:
Combine like terms. 12, 21 and -23 add up to 10, and -5y + y is -4y.
Then, together, we have 10 - 4y (answer)
Answer:
[tex]\large\boxed{10 - 4y}[/tex]
Step-by-step explanation:
12 - 5y + 21 + y - 23
Combine like terms (add -5y to + y)
12 + 21 - 4y - 23
Add 12 + 21
33 - 4y - 23
Subtract 23 from 33
[tex]\large\boxed{10 - 4y}[/tex]
This is the simplest form of the expression.
Hope this helps :)
The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?
Answers
Answer:
[tex]\boxed{6912 units^2}[/tex]
Step-by-step explanation:
Hey there!
Well using the given ratio,
3:4
And the area of the small shape we need to do,
72*72 = 5184
Now we can make the following fractions,
[tex]\frac{3}{4}[/tex] = [tex]\frac{5184}{x}[/tex]
Now we can solve,
3*x = 3x
4 * 5184 = 20736
3x = 20736
20736 / 3
x = 6912
So the area of the bigger shape is 6912 units^2
Hope this helps :)
if a is an even natural number such that a|208 and (a,b)=1, then find the value of b
this is gauss theroeam
Answers
Answer:
b=13
Step-by-step explanation:
2|208
2|104
2|52
2|26
|13
208=2^4×13=16×13
now (16,13)=1
as a is an even number so a=16
b=13
∵g.c.d of 16 and 13=1
or (16,13)=1
What is the other endpoint of a segment with a midpoint of M(6, 1) and an endpoint S(5,-3)?
ANSWERS ASAP!!!!
Answers
Answer:
(7, 5)
Step-by-step explanation:
(x+5)/2, ( y-3)/2)=(6,1)
(x+5)/2=6, x= 7
( y-3)/2=1, y=5
How to solve this maths equation??? pls help me, its urgent!!! asap
Answers
Answer:
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{w}[/tex] + [tex]\frac{3}{x}[/tex] - [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{z}[/tex]
Multiply through by wxyz to clear the fractions
2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )
2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )
2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )
x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )
x = [tex]\frac{-3wyz}{2yz-4wz-wy}[/tex] ( multiply numerator/ denominator by - 1 )
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
Solve : (i) 5x+3/4 - 2x-4/3 = 5 (ii) 3(x+5) - 2(3x-1) = 15
Answers
Answer:
(i) x = 67/4
(ii) x = 2/3
Step-by-step explanation:
(i)
5x + 3/4 - 2x - 4/3 = 5 add like terms
3x -7/12 = 5
3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4
(ii)
3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms
17 - 3x = 15
2 = 3x and x = 2/3
Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?
Answers
Answer:
The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Step-by-step explanation:
The outcomes provided are:
(A) 0, 1, 2, 6, 7, 8
(B) 0, 1, 2, 7, 8
(C) 0, 1, 7, 8
(D) 0, 1, 2, 8
Solution:
The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.
The probability of X is:
P (X) = 0.65
The number of employees selected is:
n = 8
An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.
Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.
Compute the value of P (X = 2) as follows:
[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]
[tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]
So X = 2 is unusual.
Similarly check for X = 6, 7 and 8.
P (X = 6) = 0.2587 > 0.05
X = 6 not unusual
P (X = 7) = 0.1373 > 0.05
X = 7 not unusual
P (X = 8) = 0.0319
X = 8 is unusual.
Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Having trouble.. help?
Answers
Answer:
(A) [tex]y = x+3[/tex]
Step-by-step explanation:
Using the values of (-6, -3), (3,6), and (5,8) we can substitute the values into each equation and see if the equation meets the requirements for all 3.
Let's test A first.
[tex]-3 = -6+3[/tex]
Correct, let's try the second pair.
[tex]6 = 3+3[/tex]
Correct, let's try the third pair.
[tex]8 = 5+3[/tex]
So yes, this equation works.
For fun, let's try the other equations.
Let's test B.
[tex]-3 = -6-3[/tex]
This is not true as -6 -3 = -9. So this equation is immediately ruled out.
Let's test C.
[tex]-3 = 2\cdot-6[/tex]
Again this doesn't work, as -6 times 2 is -12. So this equation is also ruled out.
Let's try D.
[tex]-3 = \frac{1}{2}\cdot-6[/tex]
This works, as half of -6 is -3 - however the equation will only work if all 3 pairs work for it.
Let's try the second pair.
[tex]6 = \frac{1}{2}\cdot3[/tex]
This doesn't work, as half of 3 is 1.5. This equation is also ruled out.
Therefore, A is the only equation that works with these pairs.
Hope this helped!
Please help!! Thank you in advance! Will mark Brainliest!
Answers
Answer:
F , D, E
Step-by-step explanation:
The smallest angle is opposite the smallest side
The largest angle is opposite the largest side
DE is smallest so F is smallest
Then EF so D
DF is largest so E is the largest angle
Step by Step
Three people found a $20 bill and decided to split it. How many dollars does each person get? Choose the correct answer from the choices below.
Answers
Answer:
$6.67
Step-by-step explanation:
$20/3 people
20/3
=6 2/3
=6.67
Each person gets $6.67.
Hope this helps!
Answer: Hi!
If you split a $20 dollar bill evenly in three parts, each person would get about $6.67 dollars. (If you divide 20 by 3, you get a recurring decimal, so it would round to 6.67.)
Hope this helps!
type in symbols to make 2,3,7, and 12 equal 55
Answers
Answer: 3(7+12) - 2
Step-by-step explanation:
Determine if the following set of ordered pairs represents a quadratic function. Explain.
(5, 7), (7, 11). (9, 14). (11, 18)
(1 point)
Answers
Answer:
Option D
Step-by-step explanation:
Given
[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]
Required
Determine if the function is quadratic
[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]
Start by representing the function as an x-y table
x:- 5 || 7 || 9 || 11
y:- 7 || 11 || 14 || 18
Next; Calculate the difference between the values of y
[tex]Difference: 11 - 7 = 4[/tex]
[tex]Difference: 14 - 11 = 3[/tex]
[tex]Difference: 18 - 4 = 4[/tex]
The resulting difference are: 4 || 3 || 4
Next; Calculate the difference between the difference of values of y
[tex]Difference = 3 - 4 = -1[/tex]
[tex]Difference = 4 - 3 = 1[/tex]
The resulting difference are: -1 || 1
For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.
Option D answers the question
A quadratic polynomial whose zeroes are 5 and -3 is
Answers
Answer:
Well, we can write a really simple quadratic polynomial as:
P(x) = a*(x - c1)*(x - c2)
Where a is a constat, and c1 and c2 are the roots, here we have:
c1 = 5 and c2 = -3
P(x) = a*(x -5)(x + 3) = a*x^2 + a*x*3 - a*5*x - a*15
then the quadratic polynomial can be:
P(x) = a*x^2 + a*(3 - 5)*x - a*15
P(x) = a*x^2 - 2*a*x - a*15
Where a can be any real number.
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answers
Answer: 33
First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.
What is the solution to the system of equations?
y = -5x + 3
y = 1
(0.4, 1)
(0.8, 1)
(1,0.4)
O (1,0.8)
Answers
Answer:
The answer is (0.4, 1)Step-by-step explanation:
y = -5x + 3 ........... Equation 1
y = 1 ................ Equation 2
To solve the equation substitute equation 2 into equation 1
That's
Substitute y = 1 into y = - 5x + 3
So we have
1 = - 5x + 3
Group like terms
- 5x = 1 - 3
- 5x = - 2
Divide both sides by - 5
x = 2/5
x = 0.4Substitute x = 0.4 into equation 1
That's
y = - 5( 0.4 ) + 3
y = - 2 + 3
y = 1The solution for the system of equations is
( 0.4 , 1)Hope this helps you
Answer:
A. (0.4, 1)
Step-by-step explanation:
just took the edg. 2020 unit test
How do -11.5 and -9.5 compare? Choose the correct symbol.
-11.5 _ -9.5
A.<
B.=
C.>
Answers
Answer:
A. <
Step-by-step explanation:
-9.5 is greater than -11.5
Answer:
A) <
less than
Step-by-step explanation:
-11.5 < -9.5
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. A person is standing 36 feet from the base of a telephone pole. A line is drawn from the top of the telephone pole to the person to form a right triangle. The angle at the person is 30 degrees. What is the height of the pole? 12 ft 12 StartRoot 3 EndRoot ft 18 ft 18 StartRoot 2 EndRoot ft
Answers
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer:
B. 12\sqrt{3} ft
Step-by-step explanation:
-5+6
What’s the answer
Answers
-5+6=1 because if it's not a normal equation it has a negative
Answer:
1
Step-by-step explanation:
When adding a negative and a positive number, subtract the biggest number from the smallest (ignore the signs), so :
[tex]6-5=1[/tex]
After you have your answer, keep the symbol of the bigger number (pay attention to the signs now). Since positive 6 is greater than negative 5, keep the positive. Add this symbol to the answer, making the answer positive.
[tex]-5+6=1[/tex]
4x + 5y = 19 , 5y - 4x = 38
Answers
Answer:
Step-by-step explanation:
Adding both equations
4x+5y+5y-4x=19+38
10y = 57
y= 5.7
Subtracting equation i from ii
5y-4x-4x-5y=38-19
-8x=9
x= -0.9
Please help me in finding the answer. Find x. (Congruent triangles)
Answers
Answer:
6.71cm
Step-by-step explanation:
a²+b²=c²
6²+3²=x²
sqrt(6²+3²)=6.71
Answer:
[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]
Step-by-step explanation:
The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.
a² + b² = c²
a and b are the lengths of the legs. c is the length of the hypotenuse.
6² + 3² = x²
Evaluate.
36 + 9 = x²
45 = x²
Take the square root of both sides.
√(45) = √(x²)
6.7082039325... = x
2. Peter, Jeff, and John, each perform subtraction incorrectly as follows:
How would you explain their mistake to each of them?
Peter:
Jeff:
John:
Answers
Answer:
peter: subtraction mistake at unit place . wrote 6 in place of 9
Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3
peter: He has written 3 at unit place while correct digit is 2
John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.
Step-by-step explanation:
we have to subtract 503 from 269
9
4 10 13
503
-269
____
234
Solution
since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\
thus
5 becomes 4, 0 becomes 10,
now 10 can be give 1 carry to 3 at unit place, so 3 becomes 13
now 9 is subtracted from 13
13-4 = 9
this is the mistake of Peter
he has written 6 at unit place which should be
peter: subtraction mistake at unit place . wrote 6 in place of 9
____________________________________________________
since , 1 is carried from 10 at tens place, 9 is left at tens place
so we know subtract 6 from 9 at tens place
9-6 = 3
Here mistake is done by Jeff
Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3
________________________________________________
at hundred place,
one is taken from 5 , hence 4 is left at hundred place
we have to subtract 2 from 4
4-2 = 2
hence,
Here, mistake done by both both Peter and jeff
peter: He has written 3 at unit place while correct digit is 2
John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.
