A, B and C are the vertices of a triangle.
A has coordinates (1,4)
B has coordinates (3, 0)
C has coordinates (-3,-2)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.

PLEASE HELP ASAP THANK YOU

Step-by-step explanation:

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The value obtained by doing the operation are ,a=0.11,b=11,c=(111/250)d=44,e=(1/8),f=(83/500),h=0.375,i=37.5%,j=(111/125),k=0.888,i=(777/1000),m=77%,n=0.2,o=20%,p=(777/1000),q=66.6%.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The procedure of changing the basis of a number is known as number conversion. A binary number is made up of only two numbers: 1 and 0. A decimal number is made up of ten digits ranging from 0 to 9.

The values obtained from the table the decimal and the percentage form are solved as;

[tex]\frac{1}{9} \\\\ 0.3111 \\\\\ 0.1111 \times 100 \\\\ 11.11 \%[/tex]

The other missing values are;

a=0.11

b=11

c=(111/250)

d=44

e=(1/8)

f=(83/500)

h=0.375

i=37.5%

j=(111/125)

k=0.888

i=(777/1000)

m=77%

n=0.2

o=20%

p=(777/1000)

q=66.6%

Hence all the missing values are given above.

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The area of the swimming pool on the scale drawing will be 300 sq. centimeters.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,

40 meters = 40/2 centimeters = 20 centimeters

The width of 30 meters one scale drawing will be equal to,

30 meters = 30/2 centimeters = 15 centimeters

Now, the area of the swimming pool on the scale drawing will be,

Area= 20 centimeters × 15 centimeters = 300 sq. centimeters

Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.

The complete question is:

A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?

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It is called the y-coordinate

The point itself is called a coordinate, vertically, the vertical component of the coordinate is called the y-coordinate, while horizontally, the horizontal component of the coordinate is called the x-coordinate.

Hope that helps!

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The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.

We have given that,

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)

Therefore we get,

2 the answer is 2/1 but just write 2.

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Answer:

Length = 30

Width = 17

Step-by-step explanation:

Let L = length of rectangle and W = Width

The first sentence gives the equation

W = L/2 + 2 ==>

2W = L +4 ==>

L = 2W - 4 ....  (1)

The perimeter of the rectangle is 2(L+W) = 2L +2W

Second sentence gives us the equation

4L = 2L + 2W + 26 ===>
2L = 2W + 26 ......   (2)

(2) - (1) ==> L = 30   (2W cancels out)

From (1), W = 30/2 + 2 = 15 + 2 = 17

Check:
Using these values and substituting in equation 2 gives us
2 * 30 = 2* 17 + 26
60 = 34 + 26
which matches

The attached image represents the foci of the hyperbola

The equation of the hyperbola is given as:

[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]

Rewrite as:

[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]

A hyperbola is represented as:

[tex]\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1[/tex]

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

[tex]c = \sqrt{a^2 -b^2}[/tex]

This gives

[tex]c = \sqrt{60^2 -25^2}[/tex]

Evaluate

[tex]c = \pm \sqrt{2975}[/tex]

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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Answer: [tex]\sqrt[4]{64}[/tex]

Step-by-step explanation:

[tex]64^{\frac{1}{4} }= \sqrt[4]{64}[/tex]

The value of the variable is 4√5. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The similar triangles are shown in the diagram.

16 / x = x / 5

    x² = 16 × 5

      x = 4 √5

Then the value of the variable is 4√5.

Then the correct option is C.

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1. The value of x is 40

m ∠2x + 10 = 90

m ∠3x = 120

m ∠2x +5 = 85

m ∠2x -15 = 65

2. The value of x is 15

m ∠5x = 75

From the question, we are to determine the value of x and the given angles

Since sum of angles is 360°

3x + 2x + 10 + 2x + 5 + 2x -15 = 360°

Collect like terms

3x + 2x + 2x + 2x  = 360° - 10° - 5° + 15°

9x = 360

x = 360 / 9

x = 40

∴ x = 40

Then,

m ∠2x + 10 = 2(40) + 10

m ∠2x + 10 = 80 + 10

m ∠2x + 10 = 90

m ∠3x = 3(40)

m ∠3x = 120

m ∠2x +5 = 2(40) + 5

m ∠2x +5 = 80 + 5

m ∠2x +5 = 85

m ∠2x -15 = 2(40) - 15

m ∠2x -15 = 80 - 15

m ∠2x -15 = 65

Hence, the measure of angle 2x-15 is 65

2.

Since sum of angles is 180°

Then,

5x° + x° + 90° = 180°

6x° = 180° - 90°

6x° = 90°

x = 90/6

x = 15

m ∠5x = 5(15)

m ∠5x = 75

Hence, the measure of angle 5x is 75

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The denominator of the simplified expression will be (9n² + 4).

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expression is given below.

[(2 / 6n + 4)] [(3n + 2) / (3n – 2)]

On multiplication, we have

(6n + 4) / (18n² + 8)

(3n + 2) / (9n² + 4)

The denominator of the simplified expression will be (9n² + 4).

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Answer:

Como faltar a la escuela. Por favor, ¿cuál es el significado?

Answer: Add the equations to eliminate k

Step-by-step explanation:

Adding the equations together, we get 2b=18.

Answer:

See below

Step-by-step explanation:

Period = 1 day      

Periodic interest = .045 / 365       (since there are 365 days in a year)

V(t) = 6000 *  ( 1 + .045/365)^t      where t is in days

V(t) = 6000 * (1+.045/365)^(t * 365)       where t is in years

Values are given below as pairs (x,y) where x coordinate is x values in box and y coordinate is y values on box

Graph attached

Answer:

[tex](x^{2} +2)-3\\x^{2} +2-3\\x^{2} -1\\(x+1)(x-1)[/tex]

Answer:

x^2+4x+1

Step-by-step explanation:

(x+2)^2-3

(x+2)(x+2)-3

x^2+2x+2x+4-3

x^2+4x+4-3

x^2+4x+1

Answer:

5 + 10^5 = 100005 (I think its this one you are looking for

(5 + 10)^5 = 759275

Step-by-step explanation:

Answer:

100,005

Step-by-step explanation:
Original: 10 * 1 = 10

First, you need to do 10 * 10 which = 100.
Next, you need to do 100 * 10 which = 1,000.
Next, you need to do 1000 * 10 which = 10,000.
Next, you need to do 10000 * 100 which = 100,000.
Lastly, you need to add 5 to 100,000 and you get 100,005.


I Hope This Helped :D

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

[tex]x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5[/tex]

The graphed that represents the new function with the same slope and y-intercept is: graph Y.

Slope = rise/run along a line.

Y-intercept is the y-value of the point on the y-axis that the line intercepts.

Slope of the function given = rise/run = 2/1 = 2

2 multiplied by 1/2 = 2/2 = 1.

Y-intercept of the given function is: 1

1 increased by 3 units is: 1 + 3 = 4

The slope of graph Y = rise/run = 2/2/ = 1

The y-intercept is also 4

Therefore, the answer is: Graph Y

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Answer:

409

Step-by-step explanation:

296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.

Answer:

y=160

Step-by-step explanation:

y=90+14(x)

x=5

y=90+14(5)

y=90+70

y=160

Hope this helps!

If not, I am sorry.

Answer:

14.3 km  (1 d.p.)

Step-by-step explanation:

To find the mean, divide the sum of all data values by the total number of data values.

If Mark ran a mean distance of 13.2 km in five days, we can use the mean distance for each of the 5 days in our calculation.

[tex]\begin{aligned}\implies \sf mean\:distance & = \sf \dfrac{13.2+13.2+13.2+13.2+13.2+20}{6}\\ & \sf =\dfrac{86}{6}\\\\ & = \sf 14.3\:km\:\:(1\:d.p.)\end{aligned}[/tex]

Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).

Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.

The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

A division is a process of splitting a specific amount into equal parts.

To model this situation using colored chips, we can use the following approach:

Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.

For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.

For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.

For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.

So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

Hence,  the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.

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Answer:

I'm not sure what the question is.    I'll offer one simplification that might help.

Step-by-step explanation:

[tex]\sqrt{3} - 3(4*\sqrt{8})[/tex]

One can convert the [tex]\sqrt{8}[/tex] to [tex]\sqrt{2} *\sqrt{4}[/tex] and then that becomes [tex]\sqrt{2} *\2}[/tex]2 or 2[tex]\sqrt{2}[/tex]

[tex]\sqrt{3} - 3(4*\sqrt{2}\sqrt{4})\\[/tex]

[tex]\sqrt{3} - 3(4*2*\sqrt{2})\\[/tex]  See above explanation.

[tex]\sqrt{3} - 24*\sqrt{2})\\[/tex]

[tex]\tan(90^{\circ}-A)\\ \\ =\frac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}\\ \\ =\frac{\cos A}{\sin A}\\\\=\boxed{\frac{1}{\tan A}}[/tex]

which of the following sets are discrete?

Answer: C. {2,4,6,8}

Step-by-step explanation:

because constituting a separate entity : individually distinct several discrete sections. 2a : consisting of distinct or unconnected elements : noncontinuous. b : taking on or having a finite or countably infinite number of values discrete probabilities a discrete random variable.

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

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horizontal transformation 1 unit left.

vertical translation 2 units down.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

f(x) = [tex]4^{x}[/tex]

g(x) = [tex]4^{x+1} -2[/tex]

As, we can see that g(x) is shifted left side by 1 unit

So, horizontal transformation 1 unit left.

Now, as 2 is subtracted

So, vertical translation 2 units down.

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