In the figure below, XZ =DF and _X = D.
JA
X
F
Which additional information would be enough to prove
that AXYZ ADEF?
1.XY =YZ
2.YZ = ED
3.YZ DE
4:XY = DE

Answer:

a(n)=60-30n

Step-by-step explanation:

Equation to use:

a(n) = a(1) + d(n-1)

where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.

In this case, a(1) is 30, d is -30, and n is just n.

If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.

Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.

Answer:

first option

Step-by-step explanation:

The solution to the system of equations given graphically is at the point/s of intersection of the 2 functions.

There is only 1 point of intersection at about x = 1.5

Answer: a (see explanation below) .b.) rhombus .c) trapezoid in USA or trapezium elsewhere in the world

Step-by-step explanation:

For  a.)  Draw a horizontal from the bottom vertex, extending 2 units to the right. Then form a triangle by connecting a line from the right end of that line up to the right angle at the top of the original triangle

As per the given diagram

(a) represents a parallelogram not rectangle as shown in construction.

(b) Shape made by three congruent triangles on the grid below represents trapezium.

(c) Four congruent triangle in the grid below represents rhombus.

"Two triangles are said to be congruent if the measure of all the three corresponding sides and angles of one triangle are equal to that of other triangle."

According to the question,

(a) First diagram we have to construct a triangle with given triangle in such a way it forms a parallelogram but not rectangle.

As shown in the constructed diagram.

(b) In the fourth diagram given quadrilateral having one pair of parallel line , therefore trapezium.

(c) In the second diagram all the four sides are congruent and parallel to each other and diagonals bisects each other at 90°, therefore it is rhombus.

Hence, (a) as shown in construction ,(b) trapezium and (c) rhombus is the correct answer.

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The supplementary angles are:

<1 and <3

<1 and <4

<2 and <3

<2 and <4

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.

Given:

As, the supplement angles forms 180 angles.

So, from the angles that are supplementary are

<1 and <3

<1 and <4

<2 and <3

<2 and <4

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Answer:

[tex]1 \frac{2}{3} - 2\frac{2}{3} = -1[/tex]

Step-by-step explanation:

[tex]1\frac{2}{3} - 2 \frac{2}{3\\} \\\\\frac{5}{3} - \frac{8}{3} = \frac{-3}{3} \\ \\\frac{-3}{3} = -1[/tex]

Hope this helps! :)

Answer:

y = 4x

Step-by-step explanation:

The slope is 4.

The line passes through (0, 0).

Equation of a line y = mx + b, m is the slope, and b is the y-intercept.

y = 4x + b

Put x and y as 0.

0 = 4(0) + b

0 = b

The y-intercept is 0.

The equation of the line is y = 4x.

Answer:

The answer to c is an arc

Answer:

it's an arc of the circle.

Step-by-step explanation:

An arc of a circle is a "portion" of the circumference of the circle.

Answer:   4.3 miles

The decimal 4.3 is equivalent to the mixed number 4 & 3/10

=============================================================

Explanation:

Fractions are often a pain, so I find it helpful to convert to decimal form whenever possible.

1/2 = 0.5

21 & 1/2 = 21 + 1/2 = 21 + 0.5 = 21.5

21 & 1/2 miles = 21.5 miles

The object travels 21.5 miles in 5 hours. Divide the distance over the time value to get the speed (or rate). This is exactly identical to finding the number of miles traveled in one hour (since each hour the object travels the same amount of distance)

speed = distance/time = 21.5/5 = 4.3 mph

4.3 = 4 + 0.3 = 4 + 3/10 = 4 & 3/10

In my opinion, it is much easier to use decimals. Saying "the object traveled a distance of 4 & 3/10 miles" seems very clunky to me.

Therefore, each hour, the object travels 4.3 miles.

Answer:

Factor GCF: 3x(2x⁴ - 5x + 4)

Step-by-step explanation:

Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.

Answer:

24, 36, and 48

Step-by-step explanation:

those numbers are the most high common factor of 24, 36, and 48.

Answer:

12

Step-by-step explanation:

1, 2, 3, 4, 6, 8, 12, 24

1, 2, 3, 4, 6, 6, 9, 12, 18, 36

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

hopefully this helped :3

Answer:

We operate the principle of sets to solve the problem. We are given the number of women to be 28 and men to be 23. The intersection will be while the union of both sets will be 24. To calculate the number of women teachers attending the lecture we first sum up the number of women and men and subtract from the intersection of both sets which gives us 3. Therefore, the number of teachers that are men are 3 while the number of women teachers are 1.

Step by step explaination:

Given the following, Let the set for men be represented by MM, that of women be represented by WW and that of teachers represented by TT.

Therefore, number of men i.e n(MM)= 23,

number of women i.e n(WW)= 29

number of teachers i.e n(TT)=4

number of  men or teachers i.e n(MM U TT)= 24

Therefore, we have:

n(MM U TT)=n(MM) + n(TT) - n(MM n TT)

Therefore:

n(MM n TT)=n(MM) + n(TT) -n(MM U TT)

n(MM n TT)= 23+ 4 - 24 = 3

There fore number of men that are teachers are n(MM n TT)= 3 .

Therefore, from the number of teachers n(TT)=4

the number of teachers that are men are 3 while the number of women teachers are 1.

Answer:

A

Step-by-step explanation:

it is A for for two outgoing (y)there is one in going(x)

Answer:

The answer is (A)

Step-by-step explanation:

Respuesta: 19; 19,89

B) 19 C) No

Explicación paso a paso:

Dados los datos:

15, 25, 17, 19, 16, 26, 18, 19, 24

Reorganizando los datos:

15, 16, 17, 18, 19, 19, 24, 25, 26

Mediana de los datos:

(N + 1) / 2

Donde N = número de observaciones

Mediana = (9 +1) / 2 = 10/2 = 5 a observación = 19.

Media = suma de valores observados / número de observaciones

Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26) / 9

Media = 179/9 = 19.89

B) mediana si se agrega otro niño que pese 43 kg

Los nuevos datos se convierten en:

15, 16, 17, 18, 19, 19, 24, 25, 26, 43

Mediana = (N + 1) / 2

Mediana = (10 + 1) / 2 = 11/2 = 5.5 Como tenemos un decimal:

La mediana será el promedio de la quinta y sexta observación: (19 +19) / 2 = 38/2 = 19

C) No, la media aritmética no parece ser un buen representante de la observación de 10 datos con el valor de peso recién agregado de 43 kg, ya que el valor parece considerablemente más alto que el conjunto de los 9 valores anteriores. Con el peso recién agregado, la media aritmética se convierte en: Media = (15 + 16 + 17 + 18 + 19 + 19 + 24 + 25 + 26 + 43) / 10 Media = 222/10 = 22.2

Answer:

x>20

Step-by-step explanation:

2(x-15)>x/2

2x-30>x/2

Multiply both sides by 2

4x-60>x

Subtract 4x from both sides

-60>3x

-20<x

Answer: x>20

Answer:

The correct answer is x ≥ 20.

Answer:

y<3

Step-by-step explanation:

It is  y<3 because all areas below y=3 are shaded.

In addition, the line y=3 is dotted, which means it is not part of the inequality (i.e. strict inequality).

If it had been a full line, then it would be y<=3.

Answer:

5

Step-by-step explanation:

To find the median of the distribution, since the columns are divided into boxes(segments), we simply count the number of individual boxes

Here, the total number of boxes would be 15 boxes , so we count 7 boxes starting form each of the ends, then the middle box is the median

Counting from each end, the middle box falls on 5 which makes it our median

Answer:

5

Step-by-step explanation:

The awnsers 5

the number 5 is in the middle of all the numbers.

Answer:

Hey there!

We have tan 9= 21/BW

tan 9 (BW)=21

BW= 21/tan 9

BW= 132. 59

Hope this helps  :)

Answer:

A- 132.59

Step-by-step explanation:

since we have to find the adjacent and already have the opposite we'll use tanθ = opp/adj

tan(9)= 21/WB

WB = 21/tan(9)   (make WB the subject)

WB = 132.5887818   or   132.59

Answer:

a). line h is perpendicular to line g

Step-by-step explanation:

In these cases, always make a litle scetch, and just plot what is given.

You can immediately see the answer, which is answer a).

lf h is parallel to f and line f is perpendicular to line g,

then line h is perpendicular to line g.

Answer:

Yes,planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Step-by-step explanation:

The question is incomplete as all the details have not been given in the question.I have attached the complete question and its options at the bottom. Consult in for better understanding.

As we can see that at the mid value, for x=4, the value of f(x)=9.4

It means that the maximum height occurs at mid of the arc where it is height is 9.6 feet above the ground.

It means that the planner has met the minimum height, as minimum height was 9 feet and maximum height of arc is 9.6 feet

Answer:

B on Edge

Step-by-step explanation:

yes, because the width of the arch is 9.6 feet

Answer:

The faucet has turned a total distance of 3 25/28

Step-by-step explanation:

To know the total distance turned by the faucet, what we need to do is to add together the distances to which it has turned.

Mathematically, that would be;

2 1/7 + 1 3/4

which is;

15/7 + 7/4 = (60 + 49)/28 = 109/28 = 3 25/28

Answer:

In a 45 - 45 - 90 triangle, the legs are equal and the ratio of sides from shortest to longest is 1 : 1 : √2 where 1 are the legs and √2 is the hypotenuse. In this case the leg is 10 / √2 = 5√2.

Answer: 10

Step-by-step explanation:

AB = 2EB

AB=CD

Due to that

Cd = 2EB therefore

CD = 10

The value of CD is 10.

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

EB= 5

As, OE is perpendicular to AB  

AB = 2EB

Also, AB=CD

so, CD= 2 EB

CD = 2*5

CD= 10

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Answer:6 √3

Step-by-step explanation:

Length of a side of an equilateral triangle inscribed in a circle =

r

√

3

where r is the radius of the circle

Therefore, Area =

√

3

a

2

4

a

=

6

√

3

Answer:

27√3

Step-by-step explanation:

Length of a side of an equilateral triangle inscribed in a circle =

r√3, where r is the radius of the circle

Therefore, Area =

√3 a^2/4

a=6√3

a/Asin = b/Bsin = c/Csin

c = a * sin C/sin A = 6(sin 120/sin 30) = 6√3

Answer:

(6x – y) * (2x – y + 2) =12x2 – 8xy + 12x + y2 – 2y

Step-by-step explanation:

(6x – y) * (2x – y + 2)

= 6x*(2x – y + 2) - y*(2x – y + 2)

= 12x^2 - 6xy + 12x  - 2xy + y^2 -2y

= 12x^2 + 12x - 8xy - 2y + y^2

Out of the answer choices:

8x2 – 4xy + 12x + y2 – 2y

12x2 – 8xy + 12x + y2 – 2y

8x2 + 4xy + 4x + y2 – 2y

12x2 + 8xy + 4x + y2 + 2y

the second choice is a correct answer.

Answer:

Step-by-step explanation:

B. 12x2 – 8xy + 12x + y2 – 2y

Answer:

Shapes are similar when one can be scaled to be like another one. Circles are always the same shape and they only vary in size. A very small circle can be expanded to be the same size as any other without changing it's shape, only size. However this is not true for ovals since they come in different shapes.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A line sloping upwards from left to right has a positive gradient.

A line sloping downwards from left to right has a negative slope

If the line crosses the y- axis above the x- axis then y- intercept is positive.

If the line crosses the x- axis below the x- axis then y- intercept is negative.

The line shown slopes downwards from left to right, thus negative gradient

The line crosses the y- axis above the x- axis thus y- intercept is positive

Answer:

Step-by-step explanation:

let x= time period in years between age now and when  father's age=2* the samad's age

in x years father's age will be 40 + x years old

in x years samad's age will be 12+x years old

at a certain point in time, the father's age = 2*the samad's age

40+x=2*(12+x)

or, 40 +x=24 + 2x

or, 40-24 = x

   x=16

test:

father=40+16=56

son=12+16=28

hence , after 16 years samad's father will be twice as old as samad

Answer:

  36.00 units

Step-by-step explanation:

Lengths of horizontal and vertical segments are easily determined by subtracting coordinates or counting grid squares:

  ST = 6 -1 = 5

  TR = 5 -(-1) = 6

  IP = 1 -(-6) = 7

  PE = 2 -(-3) = 5

The lengths of the diagonal segments are found using the Pythagorean theorem. Those lengths are the root of the sum of the squares of the rise and run. As before, you can determine those from counting squares or subtracting coordinates.

  RI = √(2^2 +5^2) = √29 ≈ 5.385

  ES = √(3^2 +7^2) = √58 ≈ 7.616

Then the perimeter is the sum of segment lengths:

  Perimeter = ST +TR +RI +IP +PE +ES

  = 5 + 6 + 5.385 +7 +5 +7.616 = 36.001

Rounded to hundredths, the perimeter is 36.00 units.