Proving when a parallelogram is a rectangle
Answers
This took a little longer than expected but I hope this helps... Please leave a rating and a thanks
Sincerely, Another Brainly User
The given parallelogram is a rectangle when ΔZYX ≅ ΔWXY.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
In the given parallelogram WXYZ,
ZX ≅ WY.
For ΔZXY and ΔWXY,
ZX = WY (already given)
ZY = WX (two opposite sides of the parallelogram WXYZ)
XY is the common side
Therefore, ΔZXY ≅ ΔWXY
Now, we can say, ∠ZYX = ∠WXY
For the given parallelogram, ∠ZYX + ∠WXY = 180°
ZYX = ∠WXY = 90°
Hence, the given parallelogram is a rectangle.
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Related Questions
PLZ HELP PLZ RIGHT NOW!!
Answers
Answer:
Table 3 and Table 5
Step-by-step explanation:
y = 3/5 x
The slope is 3/5
3/5 = .6
We want a slope that is lower
We want to find the slope for each table
Slope is found by
m = (y2-y1)/(x2-x1)
Table 1
= (12-4)/(9-3) = 8/6 = 4/3 =1.33
Table 2
= (12-4)/(15-5) = 8/10 = 4/5=.8
Table 3
= (54-18)/(93-31) = 36/62=18/31=.58
Table 4
= (33-11)/(54-18) = 22/36 = 11/12=.92
Table 5
= (21-7)/(36-12) =14/24 = 7/12 =.58
A relation is called a function when each element in the domain is paired with
just one element from which of the following?
O
A. Inputs
O
B. Solution variables
O
C. Range
O
D. Independent variables
Answers
Answer: the answer is C. Range :D
Step-by-step explanation:
The public debt of Apexistan is 5,446,772,143,940,528 Apex dollars, while its
gross domestic product (GDP) is 13,647,498,222,417,097 Apex dollars. What
is Apexistan's debt-to-GDP ratio?
O A. 5%
O B. 40%
C. 13%
O D. 251%
Answers
Answer:40 %
Step-by-step explanation:
Given
Debt=5,446,772,143,940,528 $
Gross domestic product(GDP)=13,647,498,222,417,097 $
Debt to GDP ratio is
=[tex]\frac{5,446,772,143,940,528}{13,647,498,222,417,097}[/tex]
=0.399104
[tex]39.91 \%\approx 40\%[/tex]
A toy store owner purchased 70 puppets for $1006. She sold them for $1412. How much profit did she make per puppet?
Answers
Answer:
5.80
Step-by-step explanation:
How much was the total profit
1412 -1006
406
She sold 70 puppets
The profit per puppet is the profit divided by the number of puppets
406/70
5.80
What’s the mean
13, 18, 20, 25 , and 11
Answers
Answer:
its 17.4
Step-by-step explanation:
if you add all the numbers up then divide it by the amount of numbers you added together you get this answer
Answer 17.4
Explanation: you add them all up so 13+18+20+25+11 then divide by how many numbers there are so divide by 5 you will end up with 17.4
the point slope form of the equation of the line that passes through (-5, -1) and (10, -7) is y+7=-2/5(x-10)
Answers
Answer:
y=-2/5x^2-3x+63
Step-by-step explanation:
Use y=mx+b
Irina had $300 and then earned $50 each week for 3 weeks. Last week, she bought groceries for $37 and two $25 gift
cards. How much money does she have left?
A.$63
B.$363
C.$578
D.$3,889
Answers
Answer:
B)$363
Step-by-step explanation:
since she earned $50 each week
50x3=150
then plus the $300 she has
300+150= 450
then add the groceries and two $25 gifts
25x2=50
37+50=87
then take that away from the amount of money she has
450-87=363
Irina has $63 left.
Explanation:To calculate how much money Irina has left, we need to follow these steps:
Start with $300, which is her initial amount.Add $50 for each of the 3 weeks she earned money. $50 + $50 + $50 = $150.Subtract the amount she spent on groceries and gift cards from the total amount she earned. $150 - $37 - $25 - $25 = $63.Therefore, Irina has $63 left.
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These tables represents a quadratic function with a vertex at (0,3) what is the average rate of change for the interval from x=8 to x=9
Answers
There are a few ways to do it; the easiest is just to follow the pattern of taking away two from the average.
The next lines of the table are
6 to 7 -13
7 to 8 -15
8 to 9 -17
Answer: C. -17
Let's find the equation and do it that way.
We have a vertex at (0,3) so we can fill out the vertex form a bit. In general for vertex (p,q) it's
y = a(x-p)^2+q
We have
f(x) = ax^2 + 3
f(1) = 2
a+3 =2
a = -1
So we found our equation,
y = -x^2 + 3
Let's check it at x=5, y=-5^2+3=-25+3=-22, good
We want the rate of change from 8 to 9, which is
[tex]r = \dfrac{f(9)-f(8)}{9-8}=f(9)-f(8)=-9^2 - -8^2 = -17[/tex]
Answer: -17 again, that checks
The average rate of change for the interval from x=8 to x=9 is -17.
The correct option is (C)
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We have a vertex at (0,3).
In general let us take vertex (p,q) then
y = a(x-p)²+q
We have,
f(x) = ax² + 3
as x=1, f(x)=2
so,
f(1) = 2
a+3 =2
a = -1
Now, the equation
y = -x² + 3
Thus, the rate of change from 8 to 9
= f(9)-f(8)/9-8
= -9²-(-8)²
=-81+64
=-17
Hence, the average rate of change for the interval from x=8 to x=9 is -17.
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1 less than the quotient of four and a number X
Answers
Answer:
Explanation of the above answer: “One less than the quotient of four and a number x. ""One less"" means you will subtract 1 from it. For that reason the overall expression is 4x-1.
Step-by-step explanation:
Please mark brainliest and have a great day!
Pls help me fact than you
Answers
Answer:
6/7.
Step-by-step explanation:
The sum of the 2 numbers is greater than 5 in 6 out of 7 throws.
So the required experimental probability is 6/7.
Answer:
The experimental probability that the sum of the next two number rolled is more than 5 is [tex]\frac{6}{7}[/tex].
Step-by-step explanation:
From the given table it is clear that
Roll 1 : 6+6=12>5
Roll 2: 6+1=7>5
Roll 3: 3+5=8>5
Roll 4: 6+2=8>5
Roll 5: 6+4=10>5
Roll 6: 5+1=6>5
Roll 7: 3+2=5
There is information about 7 roll, therefore the total possible outcomes is 7.
6 out of seven rolls resulted in a sum greater than 5, therefore the favorable outcomes is 6.
The experimental probability that the sum of the next two number rolled is more than 5 is
[tex]P=\frac{\text{Favorable outcomes}}{\text{Total possible outcomes}}[/tex]
[tex]P=\frac{6}{7}[/tex]
Therefore the experimental probability that the sum of the next two number rolled is more than 5 is [tex]\frac{6}{7}[/tex].
Which number sentence does the following number line represent?
0-4+7= 3
3+(-4)=-7
04+3=7
3+(-7)=-4
Answers
Answer:
Last option: [tex]3+(-7)=-4[/tex]
Step-by-step explanation:
The number line can help us to make additions and subtractions.
To add a positive number we need to move the point to the right and to add a negative number we need to move the point to the left.
You can observe in the figure that the point on the number line is moved from 3 to -4, then it is moved 7 places to the left. Therefore, you can express it in the following form:
[tex]3+(-7)[/tex]
This is:
[tex]3+(-7)=3-7=-4[/tex]
Then the number line represents this number sentence:
[tex]3+(-7)=-4[/tex]
- 3 + 3x = 2x – 13
I have to use more characters...
Answers
- 3 + 3x = 2x – 13
Bring -3 to the right side of the equation by adding 3 to both sides
(- 3 + 3) + 3x = 2x – 13 + 3
0 + 3x = 2x - 10
3x = 2x - 10
Bring 2x to the other side by subtracting 2x to both sides
3x - 2x = 2x - 2x - 10
x = -10
Check:
-3 + 3(-10) = 2(-10) - 13
-3 + (-30) = -20 - 13
-33 = -33
Hope this helped!
~Just a girl in love with Shawn Mendes
One number is 6 times another number. The sum of the two numbers is 84. Find the two numbers.
Answers
Answer:
x = 72
y = 12
Step-by-step explanation:
x = 6y
x + y = 84
Just Guess & Check lol
Write g(x)=40x+4x^2..
Answers
Answer:
g(x)=40x+4x^2
Step-by-step explanation:
[tex]g(x) = 40x + 4 {x }^{2} [/tex]
what do both dependent and inconsistent systems have in common
Answers
Answer:
both equations represent the same line
Step-by-step explanation:
which equation can be used to find the volumes of the cylinder?
Answers
Answer:
π(4)²(16)
Step-by-step explanation:
Given r = 4, h = 16
Use formula for cylinder:
Volume of cylinder,
V = πr²h
= π(4)²(16)
Answer:
Answer:
π(4)²(16)
Step-by-step explanation:
Given r = 4, h = 16
Use formula for cylinder:
Volume of cylinder,
V = πr²h
= π(4)²(16)
Step-by-step explanation:
What is the vertex for the graph below?
Answers
Answer:
(-4, -4)
Step-by-step explanation:
Look for the vertex / minimum point on the graph. If you read the x- and y-axis scales correctly, you'll see that the vertex is located at (-4, -4). Not all the divisions on the x- and y-axes are marked; you have to mark them in your imagination.
Answer:
A.
Step-by-step explanation:
As in the picture we have that the parabola opens up, then the vertex will be the minimum point in the graph. Now, the minimum point of the parabola in the picture is in x= -4 and y = -4 (the points go two by two), I show you that values in the picture below. Then, the vertex of the graph showed in the picture is (-4,-4). Then, the answer is A.
OBO QBODO 100
Which best describes the function on the graph?
direct variation; k = 1
direct variation; k = 4
inverse variation; k=1
inverse variation; k= 4
Answers
Answer:
Inverse variation k=4
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem
The graph represent a inverse variation
Because
if x increases ----> y decreases
if x decreases ----> y increases
Find the value of k
we have that
For x=2, y=2 -----> see the graph
[tex]k=y*x[/tex]
substitute
[tex]k=2*2=4[/tex]
A rock dropped on the moon will increase its speed from 0 m/s (its starting
speed) to 8.15 m/s in about 5 seconds. If you were standing on the moon,
measuring the rock's motion, what would you measure for the magnitude of
its acceleration?
O
A. 8.2 m/s2
O B. 41 m/s2
O C. 9.8 m/s2
O D. 1.63 m/s2
Answers
The answer is:
The correct option is the option D
[tex]g=1.63\frac{m}{s^{2}}[/tex]
Why?To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).
We need to use the following free fall equation:
[tex]V_{f}=V_{o}-g*t[/tex]
Where:
[tex]V_{f}[/tex] is the final speed.
[tex]V_{o}[/tex] is the initial speed.
g is the acceleration due to gravity.
t is the time.
We are given the following information:
[tex]V_{f}=8.15\frac{m}{s}[/tex]
[tex]V_{o}=0\frac{m}{s}[/tex]
[tex]t=5seconds[/tex]
Then, using the formula to isolate the acceleration, we have:
[tex]V_{f}=V_{o}-g*t[/tex]
[tex]V_{f}=V_{o}-g*t\\\\g*t=V_{o}-V_{f}\\\\g=\frac{V_{o}-V_{f}}{t}[/tex]
Now, substituting we have:
[tex]g=\frac{V_{o}-V_{f}}{t}[/tex]
[tex]g=\frac{0-8.15\frac{m}{s}}{5seconds}=-1.63\frac{m}{s^{2}}[/tex]
Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:
[tex]g=1.63\frac{m}{s^{2}}[/tex]
Hence, the correct option is the option D
[tex]g=1.63\frac{m}{s^{2}}[/tex]
Have a nice day!
find the solution of this system of equations x=4+y -10x+6y+-28 separate x and y values with a comma.
Answers
ANSWER
The solution is (1,-3)
EXPLANATION
The system of Equations are;
[tex]x=4+y[/tex]
and
[tex]-10x+6y=-28[/tex]
We substitute the first equation into the second equation to get:
[tex]-10(4 + y)+6y=-28[/tex]
We expand the parenthesis to get:
[tex]-40 - 10y+6y=-28[/tex]
Group similar terms to get:
[tex]- 10y+6y=-28 + 40[/tex]
Simplify the similar terms to get;
[tex] - 4y = 12[/tex]
Divide both sides -4.
[tex]y = \frac{12}{ - 4} [/tex]
[tex]y = - 3[/tex]
We put y=-3 into the first equation to get:
[tex]x = 4 + - 3 = 1[/tex]
Therefore the solution is (1,-3)
Which expression is a perfect cube?
A. x8
B. y24
C. m28
D. x64
Answers
Answer:
B. Y²⁴
Step-by-step explanation:
For perfect cubes, the exponents are a multiple of three. If yᵃ is a perfect cube, then a/3=k where k is a whole number.
Among the provided choices, the exponent of y²⁴ is divisible by 3.
24/3 = 8.
Thus y²⁴ is a perfect cube.
Answer:
B
thats the answer on edge 2020
which number produces a rational number when added to 0.42?
Answers
The number 0.58 produces a rational number when added to 0.42.
What is a rational number ?A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. It can be expressed as a whole number or in the fractional format.
How to find the number that produces the rational number ?Let us find the nearest rational number which can be expressed in the whole number format.
For 0.42, the nearest rational number is 1 .
Thus the number added to 0.42 is (1 - 0.42) = 0.58 .
Therefore, the number 0.58 produces a rational number when added to 0.42.
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(NOTE I PUT THE GRAPH IN SO PLZ HELP )The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
What is the slope of the line
Answers
Formula for slope is y2-y1/x2-x1
Make the first set of coordinates (x1,y1) and second set (x2,y2). It doesn’t matter which coordinate is 1 or 2 just pick one to go first and do the same thing for the next step.
The y1 coordinate is 33 and the y2 coordinate is 15
The x1 coordinate is 6 and the x2 coordinate is 15.
Now put these numbers into formula for slope but make sure you include the negative or subtraction (minus) sign since this is part of the original formula.
15-33/15-6
15-33 = -18
15-6 =9
-18/9 = -2
Answer: -2
Step-by-step explanation:
The slope of a line passing through points (a,b) and (c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
From the given graph , the line is passing from points (6,33) and (15,15).
Now, the of a line passing through points (6,33) and (15,15) is given by :-
[tex]m=\dfrac{15-33}{15-6}=\dfrac{-18}{9}\\\\\Rightarrow\ m=-2[/tex]
Hence, the slope of the line = -2
Use the distributive property -7(-2x+u-2)
Answers
Answer: 14x-7u+14
Step-by-step explanation: multiply parenthesis by -7
Answer:
14x -7u+14
Step-by-step explanation:
-7(-2x+u-2)
Multiply -7 by each term in the parentheses
-7*-2x + -7*u + -7*-2
14x -7u+14
How many solutions does this linear system have?
y = 2x – 5
–8x – 4y = –20
one solution: (–2.5, 0)
one solution: (2.5, 0)
no solution
infinite number of solutions
Answers
Answer:
one solution: (2.5, 0)
Step-by-step explanation:
y = 2x – 5
–8x – 4y = –20
Solve the second equation for y
Add 8x to each side
–8x+8x – 4y =8x –20
-4y = 8x-20
Divide by -4
-4y/-4 =8x/-4 -20/-4
y = -2x+5
The two equations are
y = 2x-5
y = -2x+5
Both equations are solved for y so set them equal
2x-5 = -2x+5
Add 2x to each side
2x+2x-5 = -2x+2x+5
4x-5 = 5
Add 5 to each side
4x-5+5 = 5+5
4x=10
Divide by 4
4x/4 = 10/4
x = 2.5
y = 2x-5
Substitute x=2.5 in
y = 2(2.5) - 5
y=5-5
y=0
There is one solution (2.5,0)
Answer: B (2.5, 0)
B: - One solution: (2.5, 0)
Step-by-step explanation:
Given : Two linear equation -
Equation 1 -
Equation 2 -
To find : How many solutions does this linear system have?
Solution :
We solve the given equations,
Substitute the value of y from equation 1 in equation 2
Now, put value of x in equation 1
There is one solution (x,y) = (2.5, 0)
B is correct.
What number should be added to –2 to get a sum of 2?
Answers
Answer:
4
Step-by-step explanation:
4 - 2 = 4 + -2 = -2 + 4
Which table shows a proportional relationship between a and b?
Answers
Answer:
Table B
Step-by-step explanation:
we know that
A relationship between two variables, a, and b, represent a proportional variation if it can be expressed in the form [tex]b/a=k[/tex] or [tex]b=ka[/tex]
In this problem the table B shows a proportional relationship because
For a=20, b=25 -----> b/a=25/20=1.25
For a=24, b=30 -----> b/a=30/24=1.25
For a=32, b=40 -----> b/a=40/32=1.25
The constant of proportionality k is 1.25
Answer:
Im pretty sure its B :)
Step-by-step explanation:
Polygon A is similar to polygon B. The sides of polygon A are twice the length
of the corresponding sides of polygon B. The perimeter of polygon Ais 100.
What is the perimeter of polygon B?
Answers
Answer:
50
Step-by-step explanation:
half of polygon A is 50 the sides of polygon A are twice the length
of the corresponding sides of polygon B.
It's the sum of the length of the sides used to make the given figure. The perimeter of Polygon A is 50 units.
What is the perimeter?It's the sum of the length of the sides used to make the given figure.
Given Polygon A is similar to polygon B. Also, The perimeter of polygon Ais 100. Now, let the number of sides in Polygon A be n, while the length of a side is 2x. Therefore, the perimeter of the polygon A is,
n × 2x = 100
Given the length of the side of the polygon B is half the length of the side of polygon A. Therefore, the perimeter of polygon B is,
n × x = Perimeter
Now, if the ratio of the two equations is taken then,
(n × 2x)/ (n × x) = 100/ Perimeter
2 = 100/Perimeter
Perimeter = 50 units
Hence, the perimeter of Polygon A is 50 units.
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To build a cottage, Mia loaded her wheelbarrow with 39.50 kg of bricks, 70.32 kg of lumber, and 67.39 kg of miscellaneous supplies. What was the weight of the heaviest supply?
Answers
Answer:
70.32 kg
Step-by-step explanation:
70.32 is bigger than 39.50 and 67.39
so it is the heaviest supply.
Answer:
70.32 kg
Step-by-step explanation:
Put the numbers from smallest to largest, since the units are the same
39.5, 67.39, 70.32
The largest is 70.32, so that is the heaviest
A parallelogram has a perimeter of 37.2 yards. Two of the sides are each 16.1 yards long. What is the length of each of the other two sides?
Answers
Answer:
2.5
Step-by-step explanation:
16.1 + 16.1 = 32.2
37.2 - 32.2 = 5
5 / 2 = 2.5
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