Angles F and H are congruent.
Angles c and e are congruent.
Angles a and g are congruent.
Angles f and c are congruent.

Answer:

Square root ( 2 )

Step-by-step explanation:

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ).  

Answer:

The rule for the translation can be written as T3, –5(x, y)

Triangle ABC has been translated 3 units to the right and 5 units down.

Step-by-step explanation: I think this is correct

True statements are

The rule for the translation can be written as T3, –5(x, y).

Triangle ABC has been translated 3 units to the right and 5 units down.

Given :

The graph is attached below

Given options are

The rule for the translation can be written as T–5, 3(x, y).

The rule for the translation can be written as T3, –5(x, y).

The rule for the translation can be written as

(x, y) → (x + 3, y – 3).

The rule for the translation can be written as

(x, y) → (x – 3, y – 3).

Triangle ABC has been translated 3 units to the right and 5 units down.

Explanation :

In the triangle ABC, A is at (-1,3)

In A'B'C', A' is at (2,-2)

From these points we can see that

[tex]-1+3=2\\3-5=-2[/tex]

So , 3 is added with x value and -5 is added with y value

Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.

Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]

Learn more :

brainly.com/question/3868587

Answer:

L'(-7, -7), M'(-9, 9), and N'(5, 5)

Step-by-step explanation:

Assuming you mean 90° counterclockwise, you would use the formula: A(x,y) becomes A'(-y,x)

so L'(-7, -7), M'(-9, 9), and N'(5, 5)

The question was incomplete. Please check below the full content.

Which of the following represents a rotation of ΔLMN. which has vertices L (-7,7), M (9,9), and N(5, -5) about the origin by 90°?            

a) L(-7, -7) M(-9. -9) N(5, 5)

b) L(-7. -7) M(-9. 9) N(5, 5)

c) L(-7, -7) M(-9, 9) N(5, -5)

d) L (7, -7) M(9, 9) N(-5, 5)      

The rotation of the vertices L (-7,7), M (9,9), and N(5, -5) are

L'(-7,-7), M'(-9,9) and N'(5,-5) respectively.

Rotation of a point :

Let the rotations of L, M, and N are L', M', and N' respectively.

Hence  L'(-7,-7), M'(-9,9), and N'(5,-5) are the rotation of vertices

 L, M, and N of ΔLMN about the origin by 90°.

To know more about the rotation of a point:

https://brainly.com/question/27648576?referrer=searchResults

#SPJ2

Answer:

A. 2614 m^2 to the nearest square meter.

Step-by-step explanation:

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi *  (∛(3000)^2

= 4 * pi * 208.008

= 2613.91 m^2.

Answer:  36 three-point field goals

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of  one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws,  so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex]  and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

The number of two-point and three-point field goals they made is 27 and 36, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of two points basket be represented by x and the number of three points basket be represented by y.

Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,

22 + x + y = 85

Solving the equation for x,

x = 85 - 22 - y

x = 63 - y

Further given that the total point made is 184. Therefore, the total number of score can be written as,

22 + 2x + 3y = 184

22 + 2(63 - y) + 3y = 184

22 + 126 - 2y + 3y = 184

y = 36

Substitute the value of y in the first equation,

22 + x + y = 85

x = 85 - 22 - 36

x = 27

Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

Answer:

I think similar is the correct answer

Step-by-step explanation:

|-x|<1 --> -1<-x<1 --> -1<x<1

so the graph is the striped part

Answer:

Equation of the line; y=x+3

Step-by-step explanation:

Graph the line that passes through the points (5,8) and (3,6) and determine the equation of the line.

Equation of a line: y=mx +b

Let's find the slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

8-6/ 5-3= 2/2 = 1

y=x+b

Substitute the points in.

y= 8

x = 5

8 = 5+b

b= 3

The y-intercept is 3.

y=x+3

Points on the line: (-2,1) (-1,2) (0,3) (1,4) (2,5)

Answer:

need thiss

Step-by-step explanation:

Answer:

20.56 units.

Step-by-step explanation:

Perimeter of the shaded region is the sum of all straight sides and all 4 arcs.

Perimeter of 4 straight sides [tex]=4\times 2=8\text{ units}[/tex]

Perimeter of a arc [tex]=\dfrac{1}{4}\times 2\pi r[/tex]

Perimeter of 4 arcs [tex]=4\times \dfrac{1}{4}(2\pi r)=2\pi r[/tex]

Here, r is the radius. So,

[tex]r=\dfrac{6-2}{2}=\dfrac{4}{2}=2[/tex]

Perimeter of 4 arcs [tex]=2(3.14)(2)=12.56[/tex]

Perimeter of the shaded region = Perimeter of all straight sides + Perimeter of all 4 arcs

                             [tex]=8+12.56[/tex]

                             [tex]=20.56\text{ units}[/tex]

Therefore, the perimeter of the shaded region is 20.56 units.

Answer:

The number of people standing in the original line is 22 people

Step-by-step explanation:

The information given are;

The number of baguettes that was shared by the people on the line = 85

The number of baguettes each person received = 1 each

Therefore;

The number of people that were finally on the line = 85

Let the number of people in the original line = X

Then each space between two people in X was filled by 1 new person of the first set of people who joined the line

Therefore;

The number of the first set of people who joined the line = The number of spaces between two count of people in X

Which gives;

The number of people who joined the line = X - 1

The new total number of people on the line = X + X - 1 = 2·X - 1

As time passed, a second set of people joined the line such that each space between the people waiting was filled with a new person (from the second set) who joined the line

Therefore, the number of people in the second set = Number of people waiting - 1

Which gives;

The number of people in the second set = 2·X - 1 - 1 = 2·X - 2

The total number of people on the line becomes 2·X - 1 + 2·X - 2 = 4·X - 3

The 85 baguettes is then able to go round (each) among the total number of people on the line

Therefore;

The total number of people on the line = The number of baguettes sheared

4·X - 3 = 85

4·X = 85 + 3 = 88

X = 88/4 = 22

Therefore;

The number of people standing in the original line = 22.

Answer:

1/2n-7

(0×3)+4

(p×5)-2

7+r

s+7

10-t

u-10

2×v

w×2

x÷5

5÷y

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

14) 1/2n - 7

15) 3o + 4

16) 5p - 2

17) 7 + r

18) s + 7

19) t - 10

20) 10 - u

21) 2v

22) 2w

23) x ÷ 5

24) 5 ÷ y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

B

Step-by-step explanation:

Interior angles of a triangle = 180°

3x°+3x+10°+4x-30°=180°

10x°-20°=180°

10x°=180°+20°

10x°= 200°

10x°/10=200°/10

x°=20°

Hence, the angle is [tex]x=20[/tex] degree.

What is the angle?

An angle can be defined as the figure formed by two rays meeting at a common end point.

Here given that,

As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.

[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]

Hence, the angle is [tex]x=20[/tex] degree.

To know more about the angle

https://brainly.com/question/15277238

#SPJ2

Answer:

x=5,6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.

Next, draw a solid horizontal line at y = 5.  

Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7.  The result will be a trapezoid-shaped area.  All points in this area are solutions to this system of inequalities.

Answer:

15 cm

Step-by-step explanation:

Circumference of circle= 2πr, where r us the radius of the circle.

Given that the circumference of circle is 60πcm,

60π= 2πr

Divide by 2 on both sides,

15π= πr

Divide by π on both sides,

15= r

Thus, radius of circle= 15cm.

Answer:

the 2nd one

Step-by-step explanation:

b/c

-5/2x-3≤2

-5/2x≤3+2

-5/2x≤5

-5x≤10

x≥10/-5

x≥-2

Answer:

  90°

Step-by-step explanation:

The sum of the arcs around the circle is ...

  2x +4x +4x +2x = 360°

  x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

  (4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The probability of the white shirt and the gray slack is;

[tex]\rm P(A) = \frac{1}{6}[/tex]

The probability of the outfit with the black shirt is;

[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]

The probability that the no favorable outfit with the white shirt and black is;

P(A∩B)=0

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;

P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]

Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

To learn more about the probability, refer to the link;

brainly.com/question/1210781

#SPJ2

The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

We have to given that,

Mark is going to an awards dinner and wants to dress appropriately.

And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.

Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.

We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,

P(B) is the probability of selecting an outfit with a black shirt, and

P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6

P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B)

              = 1/6 + 1/6 - 0

              = 1/3

So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ6

Complete question is,

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.

Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.

Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.

What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

Answer:

I think it's 12

Step-by-step explanation:

i just multiplied 60 by 20%

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

[tex]\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =[/tex]

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =[/tex]

Add the fractions:

[tex]\frac{7}{28} + \frac{8}{28} + \frac{14}{28} = \frac{29}{28}[/tex]

Therefore, the fractions sum up to 29/28.

Answer:

1/4 + 2/7 + 1/2

Find a number that 4,7, and 2 have in common

List the multiples o 4,7, and 2

4,8,12,15,20,24,28,32,36,40

7,14,21,28,35,42,49,56,63,70

2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40

4,7,and 2 all have 28 so 28 is the common denominator

1/4 = 1/4 x 7/7 = 7/28

you can multiply because 7/7 = 1 so you are just multiplying by 1

2/7 x 4/4 = 8/28

1/2 x 14/14= 14/28

7/28 + 8/28 + 14/28 = 29/28 or 1 1/28

Hope this helps

Step-by-step explanation:

Hey there! :)

Answer:

A) (1, 6)

Step-by-step explanation:

Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:

3x + y = 9

y = -3x + 9

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

y - 2x = 4

y = 2x + 4

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

-3x + 9 = 2x + 4

Add 3x to both sides:

-3x + 3x + 9 = 2x + 3x + 4

9 = 5x + 4

Subtract 4 from both sides:

9 - 4 = 5x + 4 - 4

5 = 5x

Divide both sides by 5:

5/5 = 5x/5

x = 1. Substitute 1 into an equation to solve for y:

3(1) + y = 9

3 + y = 9

y = 9 - 3

y = 6.

Therefore, the coordinates of the solution are:

A) (1, 6)

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

3x+y = 9

y-2x = 4

Subtracting both equations

=> 3x+y-(y-2x) = 9-4

=> 3x+y-y+2x = 5

=> 3x+2x = 5

=> 5x = 5

Dividing both sides by 5

=> x = 1

Now, Putting x = 1 in the first equation

=> 3(1)+y = 9

=> 3+y = 9

=> y = 9-3

=> y = 6

Ordered pair = (x,y) = (1,6)

Answer:

150 paperclips

Step-by-step explanation:

set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips

cross multiply so you get 16x = 2400

solve for x by dividing 2400 by 16

you should get x = 150

Answer:

h(t) = h₀ + v₀·t + 1/2 g t² with

h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²

4.9 seconds

Step-by-step explanation:

16.087 (t - 2.48648)^2 - 94.5842 = 0

solving as a quadratic equation yields t ≈ 4.9 seconds

Answer: 10 for each side but in total is 20

Step-by-step explanation: u multiply 5 x 4 = 20 divided by 2 to get 10 meters and another is 4 divided by 2 is 2 x 5 is 10 meters times 2 is 20 total

Answer:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

AC = AC                     Reflexive property

ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

Answer:

B. (8,1)

Step-by-step explanation:

x+y=9

x-y=7

x=7+y

Therefore in the equation x+y=9 , x=7+y

(7+y)+y=9

7+2y=9

2y=9-7

2y=2

y=2/2=1

therefore x=7+y

=7+1=8

The solution of the system of equation are,

⇒ (8, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

System of equations are,

x + y = 9  .. (i)

x - y = 7  .. (ii)

Now, We can simplify as;

From (i);

x = 9 - y

Put in (ii);

x - y = 7

9 - y - y = 7

9 - 2y = 7

9 - 7 = 2y

2y = 2

y = 1

From (i);

x = 9 - y

x = 9 - 1

x = 8

Thus, The solution of the system of equation are,

⇒ (8, 1)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

B

Step-by-step explanation:

Take total displacement and divide by the time it took.

Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

Answer:

False

Step-by-step explanation:

To plot the point (5, -3) you would move right 5, then down 3.

Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.