Q1. In the given figure, ABCD is a parallelogram. Complete each statement along with the definition or property used.
(i) AD = ……….. (ii) DC = ……….. (iii) ∠DCB = ………..
(iv) ∠ADC = ……….. (v) ∠DAB = ……….. (vi) OC = ………..
(vii) OB = ……….. (viii) m∠DAB + m∠CDA = ………..

Q1. In The Given Figure, ABCD Is A Parallelogram. Complete Each Statement Along With The Definition Or

Answers

Answer 1

Step-by-step explanation:

i. AD = BC= 6cm (each two opposite sides are equal in length in parallelogram)

ii.DC=AB=9cm (each two opposite sides are equal in length in parallelogram)

iii.DCB=60 ,, bec DC and AB are parallel so their interior angles are supplementary their sum equals 180°

so DCB = 180-120=60°

iv.ADC=ABC = 120° because each two opposite angles are equal in measure in parallelogram

v. DAB=DCB =60° because each two opposite angles are equal in measure in parallelogram

vi. OC=AO =7cm because the diagonals of parallelogram bisect each other

vii. OB=DO=5cm because the diagonals of parallelogram bisect each other

viii . DAB=60° ,, CDA= 120 °

DAB+CDA =180°

or you could simply say that because DC and AB are parallel their interior angles are supplementary their sum is 180°


Related Questions

Someone please help me

Answers

Answer:first one .

Step-by-step explanation:

n/a

Theoretically if you roll a number cube 36 times how many times would you expect to roll the number one?

Answers

Answer:

6

Step-by-step explanation:

Since its theoretical, i believe itll be 1/6 x 36 which is 6 times.

hope I helped :)

Answer:

If you were to roll the cube 36 times, theoretically, you would expect that number 1 will be rolled 6 times.

Step-by-step explanation:

The probability of getting a 1 after rolling the number cube is equal to [tex]\frac{1}{6}[/tex]. Now we just multiply the probability by the number of rolls and get...

[tex](\frac{1}{6})(36) = 6[/tex]

Therefore, if we were to roll the cube 36 times, theoretically we would expect that number 1 will be rolled 6 times.

2
The size of a TV is the diagonal
measurement of its screen. Will a
46-inch TV fit in a rectangular cabinet
measuring 32 inches long and
28 inches high? Explain.

Answers

Answer:

Use the Pythagorean Theorem to calculate the length of the sides of a right triangle. A TV cut in half on the diagonal is a right triangle.

a^2 + b^2 = c^2

a is the width of the TV

b is the height of the TV

c is the diagonal size of the TV

a is equal to the length of b plus 15, and c is equal to 75. If we out those values into the formula, we get this:

(b+15)^2 + (b)^2 = (75)^2

Factoring that out, we get:

(b)^2 + 225 + (b)^2 = 5625

Then..

2b^2 = 5625 - 225

2b^2 = 5400

b^2 = 5400/2

b^2 = 2700

b = ✓2700

b = 51.9615242271 (round it to an even 52)

Next, we know that a = b + 15, so a = 67.

Therefore, the width of the TV is 67 inches, the height is 52 inches, the diagonal is 75 inches, and you have a very strangely shaped television with a 1.288 (approximately 5:4) aspect ratio. Older “square” TVs mostly had a 1.33 (4:3) ratio, and new TVs are usually either 16:9 (1.77) or 21:9 (2.33). While it's not impossible that you have an old square TV with a 75 inch diagonal, it's pretty unlikely…

Step-by-step explanation:

Pls help me with this question plssss

Answers

The average rate of the given function is 2.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is h(x)=-x²-x+5 and the interval is -6≤x≤2.

x={-6, -5, -4, -3, -2, -1, 0, 1, 2}

y=-x²-x+5

When x=-2

y=-(-2)²-(-2)+5

y=-4+4+5

y=5

When x=-1

y=-(-1)²-(-1)+5

y=5

When x=0

y=5

When x=1

y=-1-1+5

y=3

When x=2

y=-(2)²-(2)+5

y=-1

Now, rate using (1, 3) and (2, -1), we get

m =(-1-1)/(2-3)

m=2

Therefore, the average rate of the given function is 2.

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The magnolia trees purchased for planting at the school are 3 feel tall. Research shows that these types of trees grow at a average of 3/4 per year.

I made a equation y=3/4x+3

Please help me determine the hight of the tree in 3 years!

Answers

Using the linear function given, the tree will have a height of 5.25 feet in 3 years

What is Linear Function

Linear functions are mathematical functions where the output values are in direct proportion to the input values. A linear function has the form

y = mx + c, where m is the slope of the line and c is the y-intercept.

In this problem, the function given already models y = mx + c

Since y = 3/4x + 3;

The height of the tree in 3 years can be solved as;

y = 3/4(3) + 3

y = 9/4 + 3

y = 5.25

The height of the tree in 3 years is 5.25 feet

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Evaluate the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1)

Answers

The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)

This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.

The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).

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Help me asap please

Answers

Answer:

So for the first one I got two answer for both actually 1( I got 12 And 120)

2( I got the same 12 and 120) sorry if it ain’t very helpful ;^;

Step-by-step explanation:

Cindy was using her cell phone app to record the wait time for various rides at an amusement park. Below are the times that she recorded in minutes. 20, 34, 40, 41, 50, 50, 53, 56, 57, 58, 64, 70 Which histogram represents the results?

Answers

Not a professional on this, but I think it would be. 20-34 40-41 50-53 56-58 64-70. P.S. Try sending a picture next time.

Answer:

D I took this today math 6th grade

Step-by-step explanation:

help help help plz i suck at this

Answers

A 48 pi in 2 It’s pretty easy just find the formula for it and plug the numbers in on a calculator.

Answer:

it is option A

Step-by-step explanation:

using formula

270 degree/360 degree*pie*(r)^2

state four roles of nitrogen in plants​

Answers

Answer:

Nitrogen is needed for plant growth the energy to grow, and produce fruit or vegetables. Nitrogen is part of the chlorophyll molecule, which gives plants their green color and is involved in creating food for the plant.

With too much nitrogen, plants produce excess biomass, or organic matter, such as stalks and leaves, but not enough root structure.

Plants take nitrogen from the soil by absorption through their roots as amino acids, nitrate ions, nitrite ions, or ammonium ions. Plants do not get their nitrogen directly from the air.From here, various microorganisms convert ammonia to other nitrogen compounds that are easier for plants to use.

Step-by-step explanation:

What is the equation of the parabola opening upward with a focus at (9,27) and a directrix of y =11



A. F(x) = 1/16(x-9)^2 + 19


B. F(x) = 1/16(x+9)^2 -19


C. F(x) = 1/32(x+9)^2 -19


D. F(x) = 1/32(x-9)^2 + 19

Answers

The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.

What is the equation of the parabola?

The equation can be written as

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix.

Here, We have the upward parabola;

Focus at (9,27)

P/2 = 27-19 = 8        Nature of focus

P = 16

so (x-9)^2 = 2py = 32y

y = 1/32(x-9)^2 + 19

The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.

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You randomly choose one shirt from the shelves. Find the probability of the event. 2 green 4 blue 1 white 2 brown 1 red The probability of not choosing a white shirt is

Answers

Answer:

the total number of shares in the shelf is 11 and their two white shirts in the shelf so the probability of not choosing a white shirt is the total which is 11 minus the two white shirts which will give you nine

the probability of a particular site is given by the formula

required outcome / sample space and the sample space here is 11.

Therefore, it is 9/11 that is the probability of not choosing a white shirt.

Isabella is 30 miles into a 70-mile backpacking trip in the wilderness.
Isabella can hike 8 miles per day. How many more days does Isabella
need to finish?
Isabella needs how
more days.

Answers

Answer: Five Days

Step-by-step explanation:

Isabella can hike 8 miles per day. So:

[tex]\frac{30miles}{8miles} = 3.75 days[/tex]

It will take:

[tex]\frac{70 miles}{8 miles} = 8.75 days[/tex]

..in total to hike 70 miles.

So, subtracting the two values:

[tex]8.75 - 3.75 = 5[/tex]

She still needs to hike five days in order to finish the trail.

Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.24 for pi​

Answers

Answer: 565.2cm3

Step-by-step explanation:

The volume of the cone with a height of 6 cm and a base diameter of 6 cm is 169.56 cubic cm.

How to find the volume of a right circular cone?

Suppose that the radius of the considered right circular cone is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

Given a cone with a height of 6 cm and a base diameter of 6 cm.

r = 3 cm

h = 6 cm

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times3 ^3 \times 6 \: \rm unit^3\\\\V = 3.14\times 54\\\\V = 169.56[/tex]

Therefore, the volume of the cone is 169.56 cubic cm.

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PLEASE HELP I SET TO 14 POINTS AND WILL MARK BRAINLEST❤️ thank youuu!

Answers

Hello! First we should note that the shape of the figure can be broken down into two rectangular prisms, so that the expression will look like:

Volume = (w • h • l) vertical rectangular prism + (w •h • l) horizontal rectangular prism

Thus Volume = (7 • 3 • 3) + (9 • 3 • 4)

Answer:

E

Step-by-step explanation:

Imagine you cut the figure into two rectangles. This would leave you with a rectangle with the following variables(h=4, w=3, l=9), and a rectangle  with the following variables(H=7, l=3 w=3)

Solve for x and check for extraneous solutions. Round any answers to one decimal.
√3x +3+4= -7
X
Is the solution extraneous? Yes or No?

Answers

Answer:

Yes

Step-by-step explanation:

I think its yes.I think It's Yes.

what is the legend of variables of combined gas law

Answers

The combined gas law for a gas is discussed below.

What is a gas?Gas is one of the four fundamental states of matter – the others being solid, liquid, and plasma. A pure gas may be made up of individual atoms, elemental molecules made from one type of atom, or compound molecules made from a variety of atoms.

Given is the combined gas law.

The ideal combined gas law is given by →

PV = nRT

Where -

{P} = pressure     {T} = temperature     {V} = volume    

{n} = number of moles   {R} = gas constant

Non ideal gases are often modelled by the Van der Waals equation as →

(p + n²a/V²)(V - nb) = nRT

Where -

{a} and {b} = constants for a particular gas

{p} = pressure       {v} = volume    

{n} = number of moles       {t} = temperature  

{R} = gas constant

Therefore, the combined gas law for a gas is discussed above.

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need some help with the screenshot

Answers

The graph of the function f(x) = 2x² + 2x - 2 is plotted and attached

How to plot the graph of the equation

The graphs of the function is plotted by making a table of value for a number of the x values and the corresponding y values as done below

Using the function the table is created as f(x) = 2x² + 2x - 2

For x = -4, y =  2 * (-4)² + 2 * (-4) - 2 =  22

For x = -2, y =  2 * (--2)² + 2 * (-2) - 2 =  4

For x = 0, y =  2 * (0)² + 2 * (0) - 2 =  -2

For x = 2, y =  2 * (2)² + 2 * (2) - 2 =  10

For x = 4, y =  2 * (4)² + 2 * (4) - 2 =  38

The table of values

x     y

-4   22

-2   4

0    -2

2     10

4    38

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help me pleeeeeaaaaassseeeee 15 points

Answers

Answer:

Step-by-step explanation:

The steps in order are: 4, 1,  5, 6, 3, 2

Solve the expression below, when y = 6

5 ( 18 - y)

Answers

Step-by-step explanation:

5 (18 - y) when y=6

5 (18 - 6)

5 × 18 - 5× 6

90 - 30

60

Answer:

-44

Step-by-step explanation:

7×-5y

7(-2)-5(6)

-14-30

-44

a class must have 65% of its capacity order cancelled the class holds 25 students if 16 students have enrolled how many more students need to enroll for the class to be held​

Answers

Answer:

Your answer is 1 more student.

Step-by-step explanation:

For the class to be held it need 16.25 students.

I got that number by multiplying 25 by .65

Because we can't have .25 of a student, and were talking about the minimum requirement. Having less than 16.25 would mean that we wouldn't have the class, so we need 17 students.

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What does using the if __ name __ == '__ main __' syntax allow programmers to do?

Answers

The if __name__ == '__main__' syntax allows a programmer to specify that certain code should only be executed when the script is run directly, rather than when it is imported as a module into another script.

This can be useful for running code that you only want to execute when you're running the script for testing or development, rather than when you're using it as a library in another program. It also allows to use the same code in multiple script without running the main code.

When a Python script is run, the interpreter assigns the name __main__ to the script's global namespace. Therefore, when the script is run directly, __name__ will be set to __main__. When the script is imported as a module into another script, __name__ will be set to the name of the module, rather than __main__.

So, when a programmer uses the if __name__ == '__main__' syntax, they are essentially checking whether the script is being run directly or imported as a module. If the script is being run directly, the code within the if block will be executed. If the script is being imported as a module, the code within the if block will not be executed.

This allows the programmer to separate code that should only be run when the script is executed directly from code that is intended to be used as a library when the script is imported as a module. It also allows to use the same code in multiple script without running the main code.

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The perimeter of a rectangular garden is 36 1/2 feet. One side of the garden is 9 feet long. What is the area, in square feet, of the garden?

Group of answer choices

81 1/4

83 1/4

85 1/2

85 9/16

Answers

Answer:

83 1/4 sq ft

Step-by-step explanation:

let x = length or width of two identical unknown sides

2(9) + 2x = 36 1/2

18 + 2x = 36 1/2

2x = 18 1/2

x = 37/2 ÷ 2 = 37/4 or 9 1/4

therefore, multiply 9 by 9 1/4

Area is:  9/1 x 37/4 = 333/4 = 83 1/4

Find the area of a circle with radius,
r
= 5.63m.
Give your answer rounded to 2 DP.

Answers

Answer:

A≈96.07

Step-by-step explanation:

area of a circle is PiXr^2

What's the longest UK number 1?

Answers

The person who has the most number 1 in UK is Elvis Presley. He has a total of 21 number 1 which is the highest in history.

The UK Singles Chart is a chart which numbers musician on the basis of their songs and their sales and streams it  was created in 1969. The records and statistics listed here, however, date back to 1952 .

The song which charted the charts was Old Town Road which was recently remixed and launched by Lil Nas X.

Elvis Aaron Presley or more commonly known as Elvis, was an American singer and actor. He dubbed the "King of Rock and Roll", and is now regarded as one of the most significant cultural figures of the 20th century.

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y


x
If
y
=
56
when
x
=
49
find,
x
when
y
=
72

Answers

Answer:

x = 81

Step-by-step explanation:

y = k√x

56 = k√49

56 = k(7)

Divide both sides by 7

8 = k

k = 8

------------------------

When y = 72

72 = 8√x

Divide both sides by 8

9 = √x

Square both sides

81 = x

x = 81

how do i anser this question

Answers

The graph that is not a straight line does not represent a direct variation.

What is direct variation?

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor.

Given are the graphs representing direct variation.

Direct variation is represented by the equation -

y = kx

The graphs representing the direct variation are straight lines. Since all the graphs are not given, any graph that is not a straight line does not represent a direct variation.

Therefore, the graph that is not a straight line does not represent a direct variation.

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What is the distance between the points located at 7 and−112 on the number line?

Answers

Answer:

The distance beween the points located 7 and 112 on the number line is -7 i hope this is right

Step-by-step explanation:

calculate the sum of the interior angles of the following polygon 6 sided 15 sided and 3 sided​

Answers

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon.  I drew all possible lines from a vertex to other vertices (AC, AD, AE).  Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦  Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon.  There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon?  How many triangles would be formed by putting in all the diagonals coming from one vertex?  There will be 2 fewer triangles than the number of vertices, 13.

♦  The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦  A polygon with 3 sides is a single triangle; interior angle sum = 180°

A rectangle has a perimeter represented by the expression 4x−8. Which expression also represents this perimeter? 4(x-8), 2(2x-8), 2(2x-4), 4(2x-4)

Answers

The perimeter expression of a rectangle has a perimeter represented by the expression 4x−8 is 2(2x - 4)

How to determine the perimeter expression

From the question, we have the following parameters that can be used in our computation:

Perimeter = 4x - 8

Factor out 2 from the expression

So, we have the following representation

Perimeter = 2 * 2x - 2 * 4

So, we have

Perimeter = 2(2x - 4)

Hence, the perimeter is 2(2x - 4)

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