Consider parallelogram VWXY below.
Use the information given in the figure to find m∠YXV, m∠Y, and x.
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note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.
Answers:
a.(i.)Slope of line YZ = 4/5
(ii.)Line adjacent line YZ is line YX,slope of YX =5/4
b.(i.)Length of line YZ =√41 units
(ii.)Length of line YX =√41 units
c.WXYZ is a rhombus.
Step-by-step explanation:
a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)
(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)
(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)
So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5
∴m of line YZ is 4/5
(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)
So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25
∴m of line YX is 5/4
b.(i.)To find the length of line YZ,we have to express it as column vector YZ.
Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)
Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units
∴The length of line YZ is √41 units.
(ii.)To find the length of line YX,we have to express it as column vector YZ.
Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)
Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units
∴The length of line YX is √41 units.
c.WXYZ is a rhombus.
Related Questions
Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?
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Answer:
240
Step-by-step explanation:
5x4x12=240
if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)
now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
5x4x12=240. You have 240 different possible choices
What is the measure of the given angle in degrees
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Answer:
D -- 210
Step-by-step explanation:
In degrees, 7π / 6 is 210°
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
210°
Step-by-step explanation:
To convert from radians to degrees :
Degree measure = Radian measure x 180°/πOur radian measure is 7π/6.
Solving :
Degree = 7π/6 x 180/πDegree = 7 x π/π x 180/6Degree = 7 x 30 = 210°i will give 100 points
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Part A
(√6)² x (√2)²6 x 212Part B
(∛3)³ x (√12)²3 x 1236Addtional Information:
[tex]\bold{(\sqrt{x} )^2 = x}[/tex][tex]\bold{(\sqrt[3]{x} )^3 = x}[/tex]Answer:
(a) 12
(b) 36
Step-by-step explanation:
Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]
Apply the exponent rule:
[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]
Question (a)
[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]
Question (b)
[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
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Answer:
7.093 cm
Step-by-step explanation:
[tex]4.5^2+x^2=8.4^2[/tex]
[tex]20.25+x^2=70.56[/tex]
[tex]x^2=50.31[/tex]
[tex]\sqrt{50.31}= 7.093[/tex]
A=2.3,b=3.9,c=5,9 I do not know how to do this
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Answer:
put the cords on a chart
Step-by-step explanation:
please please help me
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Answer:
A. 36
Step-by-step explanation:
Right triangle angles in degrees always add up to 180° degrees. In addition, it must have a right angle (hence the name right triangle), which is 90 degrees.
Given the angle in degrees is 54, we can add 90 and 54 and subtract it from 180 to find the missing angle.
[tex]54+90=144[/tex]
Now, subtract from 180.
[tex]180-144=36[/tex]
Therefore, the degrees of the missing angle is 36.
#LearnWithBrainly
A spring with spring constant 0.5 m has a force of 40 newtons applied to it. How much does the spring
stretch? Use Hooke's law F = kx
N
O A 1,600 cm
OB. 100 cm
O C. 80 cm
O D. 40 cm
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The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
How to calculate the force acting on string?According to Hookes law
F = ke
where
F is the applied force = 40N
k is the spring constant
e is the extension = 0.5
Substitute
40 = 0.5e
e = 40/0.5
e = 80cm
Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
Learn more on hookes law here: https://brainly.com/question/12253978
What is the difference between surface area and lateral surface area?
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Answer:
Surface area is the sum of all areas/faces of a solid, INCLUDING bases.
Lateral surface area is the surface area of a solid WITHOUT bases.
hope this helps :)
I’m posting a lot of these until I reach 90 on ixl, please bear with me lol
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Solution in picture
Answer:
327.5 feet²
Step-by-step explanation:
Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.
Determining the area of the triangle:
Given dimensions:
Height = 11 feetDetermining the base of the triangle:
[tex]22 + b + 5 = 7 + 8 + 17[/tex]
[tex]27 + b = 32[/tex]
[tex]b = 32 - 27[/tex]
[tex]b = 5 \ \text{ft}[/tex]
Substituting the base and the height:
[tex]\text{Area of triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\text{Area of triangle} = \frac{1}{2} \times 5\times11[/tex]
Simplifying the R.H.S to determine the area:
[tex]\text{Area of triangle} = 5\times5.5[/tex]
[tex]\text{Area of triangle} = 27.5 \ \text{ft}^{2}[/tex]
Determining the area of rectangle₁
Given dimensions:
Length = 17 feetBreadth = 5 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{1}} = LB[/tex]
[tex]\text{Area of rectangle}_{1}} = (5)(17)[/tex]
Simplify the R.H.S to determine the area:
[tex]\text{Area of rectangle}_{1}} = 85 \ \text{feet}[/tex]
Determining the area of rectangle₂
Given dimensions:
Length = 5 + 7 feetBreadth = 8 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (7 + 5)(8)[/tex]
Simplify the R.H.S to determine the area
[tex]\text{Area of rectangle}_{2} = (7 \times 8) + (5 \times 8)[/tex]
[tex]\text{Area of rectangle}_{2} = 56+ 40[/tex]
[tex]\text{Area of rectangle}_{2} = 96 \ \text{feet}^{2}[/tex]
Determining the area of rectangle₃
Given dimensions:
Length = 17 feetBreadth = 7 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (17)(7)[/tex]
Simplify the R.H.S to determing the area:
[tex]\text{Area of rectangle}_{2} = 119\ \text{feet}^{2}[/tex]
Determining the area of the figure:
A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)
= 27.5 + 85 + 96 + 119
= 327.5 feet²
PLS HELP ASAPPPPP!!!!!
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Answer:
first you write number 4,second the frequency you write number 5...for this data
Isaac made 2 quarts and 1 cup of cupcake batter. If 6 ounces of butter make one cupcake, And Isaac is making 10 cupcakes,How much batter will be left over.
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Answer:
The Answer is 1 cup and 4 oz, I'm sorry if incorrect..>~<
Answer:
The Answer is 1 cup and 4 oz.
Step-by-step explanation:
2qts + 1cup equals 72 oz. 6oz x 10=60oz.
72 oz - 60 oz = 12 oz. 1 cup and 4 oz.
Dante is solving the system of equations below.
r+S-=-4
2r-35+=1
3r-2s+21= 3
He writes the row echelon form of the matrix. Which matrix did Dante write?
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Answer:
The answer is the first matrix. Image attached.
Step-by-step explanation: Given that Dante is solving the system of equations:
In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.
We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.
In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have
r = -1, s = 0 and t = 3.
If we substitute these values in the given system, it will get satisfied.
Thus, the first matrix, attached herewith, is the correct matrix.
This is the number in standard form: 500,802,009,612
What is the number in expanded form?
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+ 0
+ 0
+ 800,000,000
+ 0
+ 2,000,000
+ 900,000
+ 90,000
+ 0
+ 600
+ 10
+ 2
Expanded Factors Form:
500,802,990,612 =
5 × 100,000,000,000
+ 0 × 10,000,000,000
+ 0 × 1,000,000,000
+ 8 × 100,000,000
+ 0 × 10,000,000
+ 2 × 1,000,000
+ 9 × 100,000
+ 9 × 10,000
+ 0 × 1,000
+ 6 × 100
+ 1 × 10
+ 2 × 1
Expanded Exponential Form:
500,802,990,612 =
5 × 1011
+ 0 × 1010
+ 0 × 109
+ 8 × 108
+ 0 × 107
+ 2 × 106
+ 9 × 105
+ 9 × 104
+ 0 × 103
+ 6 × 102
+ 1 × 101
+ 2 × 100
Word Form:
500,802,990,612 =
five hundred billion eight hundred two million nine hundred ninety thousand six hundred twelve
what's greater -9/11 or -5/8
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Answer:
-9/11 > -5/8
Step-by-step explanation:
which of the following is a polynomial function in factored from with zeros at 0, -3, and 4?
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The answer would be: f(x) = x(x + 3)(x – 4)
Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used
1/4
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?
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Answer:
3 1/4 pounds
Step-by-step explanation:
Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.
He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375
Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.
Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.
P,Q and R are points on a circle, centre O, if angle OPQ=36 degree, what is the size of angle PRQ.
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Answer:
18
Step-by-step explanation:
an angle subtended by a chord to the center is twice to that subtended by the same chord to the circumference
please help fast it is due
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A right triangle with a 45 degree angle means the two short sides are the same, so y = 30
the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)
answer: x = 30sqrt(2) and y = 30
Please help me ASAP
Answers
Answer:
109
Step-by-step explanation:
the sum of 37 and 72 is equal to x
proof:
37+72 = 109
three angles of a triangle form 180 degree
to find the angle which is not given,
180 - 109 = 71
as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180
so,
x = 180 - 71
x = 109
that means ,
=> 37+72 = x
=> 109 = 109 [ 37+72 = 109, x = 109]
hope this helps :)
Answer:
Option D is correct answer that is 109° .Step-by-step explanation:
Question : -Find the value of x in this triangle .
Given : -Angle 1 = 37°Angle 2 = 72°Angle 3 = y° ( We are assuming it as y )Angle 4 = x°To Find : - We have to find the value of x .Solution : -We know that sum of all the interior angles of triangle is equal to 180° . Then ,
Angle 1 + Angle 2 + Angle 3 = 180°37° + 72° + Angle 3 = 180°109° + Angle 3 = 180°Angle 3 = 180° - 109°Angle 3 = 71°Therefore , Angle y = 71° .
Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,
Angle 3 ( y )+ Angle 4 ( x ) = 180°71° + x° = 180°x° = 180° - 71°x° = 109°Therefore , value of Angle x is 109° .
#[tex] \rm{Keep \: Learning}[/tex]
Lila is ordering photos online. Each photo costs $0.08, and there is a shipping charge of $4.00.
How many photos can Lila order for $20?
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Answer:
4 almsot 5. The exact answer is 4.90196078431
Step-by-step explanation:
each photo cost $4.08 with shipping. 20 dvided by 4.08 is 4.90196078431. But since you cant order 0.9 of a photo Lila can order only 4.
PLEASE ANSWER QUICKLY!
The figure shows a right prism.
1. What is the volume of the figure?
2. If the dimensions of the prism are decreased by a factor of 1/4, how will the volume of the new prism compare to the volume of the original prism? (ANSWER IN A SIMPLIFIED FRACTION).
The volume of the prism is decreased by a factor of: ______
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How do you solve 2. 310x/4y times 8y/5x =
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Answer: 0.924
Step-by-step explanation:
Given
[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]
Simplify [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]
[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]
Cancel y
[tex]0.5775x* \frac{8}{5x}[/tex]
Cancel x
[tex]0.5775* \frac{8}{5}[/tex]
Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]
[tex]\frac{0.5775*8}{5}[/tex]
Simplify
[tex]\frac{4.62}{5}[/tex]
Simplify
0.924
(27-241)¹⁵
please someone answer this asap!!1
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Answer:
Phhshh- Ez
It's: -90407945526160061369845453076660224 or for factor: (In image below
Step-by-step explanation:
(27−241)
15
Subtract 241 from 27 to get −214.
(−214)
15
Calculate −214 to the power of 15 and get −90407945526160061369845453076660224.
Name two sides that appear to be parallel
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Step-by-step explanation:
These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.
According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of workers walk or bike to work
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Answer:
Step-by-step explanation:
6+3=9/50
9/50 x 100=18 percent
EZ POINTS!!!!!! explain how you divide 72 by 9.
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Answer:
8
Step-by-step explanation:
Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.
Thanks for the points. Hope it helps :)
Answer:
9\72=8
Step-by-step explanation:
9x8=72
_08_
9| 72
- 72
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0
please mark brainliest
An exam has two papers. Anil scores 22 out of 80 on paper 1 and 75 out of 100 on paper 2. Work out his percentage score for the exam.
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Answer:
53.89%
Step-by-step explanation:
total no. obtainable = 80 + 100 = 180
total scores acquired = 22 + 75 = 97
percentage = (total acquired/total possible) × 100
= (97/180) × 100
= 53.89 %
A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. If the company used 28,134.4cm cubed of steel, how many rods did it make?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
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= 1004.8cm^3
(Used steel) / (One steel rod’s volume) =
(Made steel rod’s number)
The answer is 28
What is the value of the x-coordinate of point A?
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A coordinate : (-0.75, -0.5)
a sphere has a volume of 2304pi mm^. find the diameter of the sphere
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Answer:
My answer is The diameter is 24