Help!! Which angle is a vertical angle with ∠AOF??


(A)∠DOE

(B)∠COD

(C)∠BOC

(D)∠FOE

use the diagram.

Answer:

2[tex]\sqrt{34}[/tex]

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)

d = [tex]\sqrt{(4+2)^2+(-6-4)^2}[/tex]

  = [tex]\sqrt{6^2+(-10)^2}[/tex]

  = [tex]\sqrt{36+100}[/tex]

  = [tex]\sqrt{136}[/tex] = [tex]\sqrt{4(34)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{34}[/tex] = 2[tex]\sqrt{34}[/tex]

Answer:

4.75 is the answer

Step-by-step explanation:

The Gross sales were 393 million.

It is required to find the gross sales rounded to the nearest million

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let gross sales = x millions

Returns = 1/80xmillions

x-1/80x=380

29x/30=380

x=380*30/29

x=393.10≈393

Therefore, the Gross sales were 393 million.

Learn more about arithmetic here:

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Answer:

[tex]\large\boxed{(f+g)(x)=2x^2+\dfrac{3}{2}x-5}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=\dfrac{x}{2}-2=\dfrac{1}{2}x-2\\\\g(x)=2x^2+x-3\\\\(f+g)(x)=\left(\dfrac{1}{2}x-2\right)+(2x^2+x-3)\\\\=\dfrac{1}{2}x-2+2x^2+x-3\qquad\text{combine like terms}\\\\=2x^2+\left(\dfrac{1}{2}x+x\right)+(-2-3)\\\\=2x^2+1\dfrac{1}{2}x-5\\\\=2x^2+\dfrac{3}{2}x-5[/tex]

Answer:

I think the answer is B= 62  

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:True

Step-by-step explanation:

Answer:

The sum of the exterior angles of a polygon is always 180 degrees.

Step-by-step explanation:

Please mark brainliest and have a great day!

[tex]|\Omega|=20+16+4=40\\|A|16+4=20\\\\P(A)=\dfrac{20}{40}=\dfrac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

16+4 =20 red and white marbles

40 marbles in all

20/40= 1/2

Answer:

D

Step-by-step explanation:

8x-5x<21-6

x<15÷3

x<5

Answer:

D) { x | x < 5}

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x+21

Subtract 5x from each side

8x-5x+6 < 5x-5x+21

3x+6 < 21

Subtract 6 from each side

3x+6-6<21-6

3x <15

Divide each side by 3

3x/3 <15/3

x < 5

Answer:

The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is about 126.5 square centimeters.

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

The 38-deg angle and and angle 6 are vertical angles, so they are congruent.

m<6 = 38 deg

Angles 6 and 4 are corresponding angles of parallel lines cut by a transversal, so they are congruent.

m<4 = m<6 = 38 deg

Answer:

38

Step-by-step explanation:

< 6 = 38  vertical angles

< 6 = <2  alternate interior angles

<2 = <4  vertical angles

<4 = 38

See the attached picture:

Find the ordered pairs for y = 2ˣ by substituting various values of x into the equation, calculate y, and list the pairs. These can then be plotted on a graph to show the exponential relationship.

To determine the ordered pairs for the given function y = 2ˣ, you will perform substitutions for x with various values and calculate the corresponding y values. Once this is done, you can plot these points on a graph to visualize the function.

Choose a range of x-values (for example, -3, -2, -1, 0, 1, 2, 3).

Calculate the corresponding y-values using the equation y = 2ˣ.

List the ordered pairs (x,y).

Plot each pair on a coordinate graph.

Connect the points to represent the exponential graph.

Remember, shifting an exponential graph parallel to the x-axis can be done by adjusting the exponent's value.

Answer:

-2 = m

Step-by-step explanation:

y = -2x + 2; your y-intercept is [0, 2] and your x-intercept is [1, 0] (not all the time your x-intercept will be an endpoint). Simply do rise\run until you hit another endpoint. As you can see, you go two blocks south then go one block over east. Do you understand?

Final answer:

By using the principle of inclusion-exclusion, we can find that 50 people have both a DVD player and a CD player in a group of 100 people.

Explanation:

To find out how many people have both a DVD player and a CD player, we can use the principle of inclusion-exclusion.

According to the problem, there are 100 people in the group. Out of these, 70 have a DVD player, 60 have a CD player, and 20 have neither.

We can begin by subtracting those who have neither from the total to find out how many people have at least one of the devices:

100 - 20 = 80 people have at least one device.

Now, if we add the number of people who have a DVD player to the number of people who have a CD player, we would double count those who have both. So, we subtract the total number who have at least one device from this sum:

70 (DVD owners) + 60 (CD owners) - 80 (at least one device) = 50 people who have both a DVD and CD player.

Answer:

3a/4b and 9a/12b are equivalent

Step-by-step explanation:

3a/4b is multiplied by 3/3 to get 9a/12b

Answer:

equivilent

Step-by-step explanation:

it is equivalent because if divide 9a and 12b both by 3, it equals 3a/4b.  Both fractions have the same lowest common denominator.

Hope this helps!

Answer:

1/28

Step-by-step explanation:

Before picking 1st song

Total songs = 8

Rock songs = 2

Probability of picking a rock song as the first song,

= 2 rock songs out of 8 total songs remaining

= 2/8

After picking 1st song

Total songs left over = 7

Rock songs left over = 1

Hence, Probability of picking a rock song as the second song,

= 1 rock song out of 7 total songs remaining

= 1/7

Probability of picking 2 consecutive rock songs,

= [tex]\frac{2}{8}[/tex] x [tex]\frac{1}{7}[/tex]

= [tex]\frac{1}{28}[/tex]

Answer: 1439

Step-by-step explanation:

Volume= Length* breadth* height

= 15*1312*112

= 1439

Answer:

Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)

Step-by-step explanation:

Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualize

You can also determine the equation of the linear function as then graph both equations on the graph tool

Finding gradient m

Given (0,6) and (1,3)

m=change in value of y/change in value of x

[tex]m=\frac{3-6}{1-0} =\frac{-3}{1} =-3[/tex]

Finding the equation of the linear function

Taking points (2,0)   and (x,y)

[tex]m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6[/tex]

From the graph,they intersect at

(0.686,3.941) and (2.914,-2.741)

Answer:

Yes, at positive x coordinates

Answer:

[tex]\boxed{\text{A. \$1.25; B. September by 4.7 \%}}[/tex]

Step-by-step explanation:

Part A. Price of flowers in September

Let x = price of flowers in September.

Then 1.2x = price of flowers in October

1.2x = $1.50

[tex]x = \dfrac{\$1.50 }{1.20} = \$1.25\\\\\text{The price of flowers in September was }\boxed{\textbf{\$1.25}}[/tex]

Part B. Seventh-grade class

40 % of September price = 0.40 × $1.25 = $0.50

    40 % of October price = 0.40 × $1.50 = $0.60

In September

[tex]\text{Earnings} = \text{900 flowers} \times \dfrac{\$0.50}{\text{1 flower} } = \$450[/tex]

In October,

[tex]\text{Earnings} = \text{700 flowers} \times \dfrac{\$0.60}{\text{1 flower} } = \$430\\\\\text{Difference} = \$450 - \$430 = \$20[/tex]

The class earned $20 more in September.

Compared with October earnings,

[tex]\text{\% Difference} = \dfrac{\text{Difference}}{\text{October earnings}} \times 100\%\\\\\text{\% Difference} = \dfrac{\$20}{\$430} \times 100\% = 4.7 \%\\\\\text{The class made more money in } \boxed{\textbf{September}} \text{ by } {\boxed{\mathbf{4.7 \%}}[/tex]

The answer above me deserves brainliest !! They did so well!!!

F (- 12) = 2/3(-12)+7

F (- 12) = 2(-4) + 7

F(-12) = -8 + 7

F(-12) = -1

Answer:

An  equilateral triangle has all sides equal.  

If perimeter = 18y -6 then one side = (18y -6) / 3 =

6y -2

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

18y-6

y=18/6

y=3

18*3=54

Answer:

y=3

Step-by-step explanation:

3 (3y - 9) = 0

Divide each side by 3

3/3 (3y - 9) = 0/3

3y -9 = 0

Add 9 to each side

3y -9+9 = 0+9

3y =9

Divide by 3

3y/3 = 9/3

y =3

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A transversal is a line that passes through two lines (as shown above) on the same plane.

N is the transversal since it passes through line L and M at two distinct points.

Answer:

A transversal is a line that passes through two lines (as shown above) on the same plane.

N is the transversal since it passes through line L and M at two distinct points.

Step-by-step explanation:

Answer:

P = (8, 0) and Q = (0, 6)

Step-by-step explanation:

To find where the line crosses the x- axis, substitute y = 0 into the equation and solve for x

3x + 4(0) = 24

3x = 24 ( divide both sides by 3 )

x = 8 ⇒ P = 8 ⇒ (8, 0 )

To find where the line crosses the y- axis substitute x = 0 into the equation and solve for y

3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ⇒ Q = 6 ⇒ (0, 6 )

Answer:

C

Step-by-step explanation:

Ok, so to do this, we are just going to plug in (0,0) and see it it checks out.

Let's take the first question. y[tex]y\geq x^{2} -4[/tex]

When we plug (0,0) into this, we get the following

[tex]0\leq 0^{2} -4[/tex]

[tex]0\leq 0-4[/tex]

[tex]0\leq -4[/tex]

This is false.

Let's check the other equation:

[tex]0>2(0)-1\\0>0-1\\0>-1[/tex]

This is true.

So the correct answer is C

Answer:

The simplification of the given expression  (r3s2t)4 is:

r¹²s⁸t⁴

Step-by-step explanation:

Given expression:

(r³s²t)⁴

power of '4' on the whole term will be applied to individual terms after we open the brackets. In this case the power on the whole term will be multiplied to the power of each individual term:

= (r³)⁴(s²)⁴(t1)⁴

= r³ˣ⁴ s²ˣ⁴ t¹ˣ⁴

= r¹²s⁸t⁴

Answer:

12

Step-by-step explanation:

First, multiply the length by two then, subtract the total by the sum, last divide by two.

(25 * 2)

(74 - 50)

(24/2)

Answer = 12

Answer:

w>/=12

Step-by-step explanation:

2(25)+2w>/= 74

50+2w>/=74

-50          -50

2w>/=24/2

w>/=12

Answer:

(t+p,r)

Step-by-step explanation:

To find midpoint you average the x's and averages the y's of the endpoints.

So x-coordinate (2p+2t)/2 =p+t

So y-coordinate (2r+0)/2=2r/2=r

So midpoint (p+t, r)

Answer:

The correct answer is first option

(t + p, r)

Step-by-step explanation:

Points to remember

midpoint formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]

To find the midpoint of EC

Let   (x1, y1) = E(2t, 0) and  (x2, y2) = C(2p, 2r)

Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]

 = (2(t + p)/2 , 2r/2)

 = (t + p, r)

Therefore midpoint of EC = (t + p, r)

The correct answer is first option

Answer:

minimum value of 7

Step-by-step explanation:

It is open up so it has a minimum

The minimum value is the lowest y

So we first must find the x that the point happens at which is -b/(2a)

So -(-8)/(2*1)=8/2=4

Now to find the y use y=x^2-8x+23

y=4^2-8(4)+23

y=16-32+23

y=-16+23

y=7  (lowest y-minimum value is 7)