c. When two lines intersect, the
angles that lie on opposite sides of
the intersection point are called
vertical angles. For example, in
the diagram at the right, AED and
CEB are vertical angles. Name
another pair of vertical angles.
A
230
.19
E
DEB and AEC
9
B
d. Using the diagram at the right,
determine the measure of AEC,
DEB, and CEB if x = 23°. Show
all your work.

Answer:

A. {x,y}={-2,-3}

// Solve equation [2] for the variable  x

 [2]    x = 2y + 4

// Plug this in for variable  x  in equation [1]

  [1]    (2y+4) - y = 1

  [1]    y = -3

// Solve equation [1] for the variable  y

  [1]    y = - 3

// By now we know this much :

   x = 2y+4

   y = -3

// Use the  y  value to solve for  x

x = 2(-3)+4 = -2

B.   [1]           3x=3y-6

 [2]           y=x+2

Equations Simplified or Rearranged :

  [1]    3x - 3y = -6

  [2]    -x + y = 2

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = x + 2

// Plug this in for variable  y  in equation [1]

  [1]    3x - 3•(x +2) = -6

  [1]    0 = 0 =>  Infinitely many solutions

C.Step by Step Solution

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System of Linear Equations entered :

  [1]    4x - y = 2

  [2]    8x - 2y = 4

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 4x - 2

// Plug this in for variable  y  in equation [2]

  [2]    8x - 2•(4x-2) = 4

  [2]    0 = 0 =>  Infinitely many solutions

Answer:

Step-by-step explanation:

a) y = -1/4x    --------------(I)

x + 2y = 4 -----------------(II)

Substitute y = (-1/4)x in equation (I)

[tex]x + 2*\dfrac{-1}{4}x=4\\\\\\x -\dfrac{1}{2}x=4\\\\Multiply \ the \ entire \ equation \ by \ 2 \\\\2x -x = 8\\\\x=8[/tex]

[tex]Substitute \ x = 8 \ in \ equation \ (I)\\\\y=\dfrac{-1}{4}*8\\\\\\y = -2[/tex]

Answer: x = 8  ; y = -2

b) y = -x - 2 --------------(i)

   3x + 3y = 6   -----------(ii)

Divide equation (ii) by m

x + y = 2

  y = -x + 2  ----(iii)

From (i) and (iii), it shows that these lines have same slope. So, they are parallel lines

Answer: No solution

3) -8x + 2y =4

            2y = 8x + 4

Divide the entire equation by 2

             y = 4x + 2 -------------(i)

            y = 4x + 2 ----------------(ii)

From (i) and (ii), we come to know that these lines coincide.So, they have infinite solutions.

Answer: the top right

Step-by-step explanation:

Answer:

14+21

Step-by-step explanation:

because, 14+21 =35

21 is 7 more bigger than 14

A function is a mapping from domain to range. The domain of the function [tex]y = \sqrt{x+6} - 7[/tex] is given as: [tex]x \geq -6[/tex] or [tex]x \in [-6, \infty)[/tex] (both are same)

One method of finding the domain of a function is to start by finding the values for which it isn't defined.

Assuming that the function  [tex]y = \sqrt{x+6} - 7[/tex] is defined for only real numbers, then, as we know that:

[tex]\sqrt{x}[/tex] exists only if x is non-negative, which means for  [tex]\sqrt{x+6}[/tex] to be defined, we need

[tex]x + 6 \geq 0\\x \geq -6[/tex]

No other way is there for the function to be non-existing.

Thus, the values on which the function is defined is all real numbers bigger or equal to -6. This is the domain of the given function.

Thus,  the domain of the function [tex]y = \sqrt{x+6} - 7[/tex] is given as: [tex]x \geq -6[/tex] or [tex]x \in [-6, \infty)[/tex] (both are same)

Learn more about domain and range of a function here:

https://brainly.com/question/26077568

Answer:

Its B

Step-by-step explanation:

Answer:

» 4 → Coefficient of x [slope of a line]

» x → Term of 4

» ⅓ → Coefficient of y

» y → term of ⅓

-2.3 → Constant [y-intercept]

Step-by-step explanation:

Consider equation below:

[tex]{ \bf{ax + by + c}}[/tex]

• a is a coefficient of x-term

• b is a coefficient of y-term

• c is a constant

The indicated part of the algebraic expression 4x + y/3 - 2.3 are

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations.

Given an algebraic expression 4x + y/3 - 2.3

The algebraic equation usually consists of a variable, coefficients, and constants.

Learn  more about algebraic expression here:

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#SPJ2

Answer:

15m+13

Step-by-step explanation:

The perimeter of a triangle is the sum of all sides.

[tex]=(7m+4)+(8m-3)+(12)\\\\=7m+4+8m-3+12\\\\=15m+13[/tex]

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

According to the question ,

→ In 20days 12 workers can do a piece of work.

→ In 1day 12*20 workers can do that work

( Less days , more workers )

→ In 16 days 12*20/16 = 15 workers can do the work.

So 15 -12 = 3 workers should be added to complete the work.

Hence the required answer is 3 .

I hope this helps.

Answer:

b

Step-by-step explanation:

i dont know how to explain it lol but its b

with the options Givin I found the anserw was B

Step-by-step explanation:

1. 3(x-2)=4

2. 3x-6=4

3x=10

4.x=10/3

Answer:

the second one, $63, i think

Step-by-step explanation:

Answer:

Distance = -7.6

Step-by-step explanation:

Using Distance Formula, √((x2-x1)^2 + (y2-y1)^2)

√((-7 - 0))^2 + (-3 - 0)^2) = 7.6

Answer:

2 (a) d=3

(b) e= 21

(c) f= 4

3.(A) 3cm

This is your answer

Answer:

The one that you pick is correct

Answer:

Solving for X: x = 8

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

12/15 = x/10

x = 8

y = x + 10

y = 8 + 10

y = 18

Seventy percent of fifty (50) is 35

The percent or percentage of a number is the division of the number with 100.

From the given information, we are being told that 70% of a number is 35.

It means that:

70% of x = 35

[tex]\mathbf{(\dfrac{70}{100})x = 35}[/tex]

0.7x = 35

Divide both sides by 0.7

x = 35/0.7

x = 50

Learn more about percentage here:

https://brainly.com/question/24304697

Answer:

The answer is 345

Step-by-step explanation:

The lateral surface area of a cylinder can be defined as the surface area of all of the sides of the cylinder excluding its base and top is calculated using lateral_surface_area = 2* pi * Radius * Height. To calculate Lateral Surface Area of a Cylinder, you need Radius (r) & Height (h).

but instead, will be using 3.14

2*3.14*4.9*11.2

6.28*54.88 = 344.6464

344.6464 rounded to the nearest whole number is:

345

Answer:

1. s-110=-124

+110

s=-14

2. 4 gallons

3. 96 oz

Hope This Helps!!!

Answer:

$7.80 an hour

Step-by-step explanation:

$31.20/4 = 7.8
$54.60/7 = 7.8

Answer:

$7.80 per hour

Step-by-step explanation:

I know this equation might seem a bit complicated, but it's actually really simple. Just divide.

$31.20/4 = $7.80

Now we just have to make sure the second one matches.

$54.60/7 = $7.80

Since they both match, the hourly rate of pay is $7.80.

Answer:

$20 for each stuffed animal

Step-by-step explanation:

[] The original price is $25, but it is 20% off.

100% - 20% = 80%

[] Now we can find 80% of $25.

-> First, 80% divided by 100 becomes 0.8, a decimal we can work with

25 * 0.8 = 20

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

55 2/3%

Step-by-step explanation:

Setup an equation and solve.

p x 600 = 334

p x 600/600 = 334/600

p = 55 2/3%

Hi There Answer 55 2/3%

Step-by-step explanation:

Answer:

Surprisingly the answer is 5,005.

Basically this is asking "in how many ways can you choose 9 things from a set of 15 things".

You will need to use the formula found at the top of this page:

https://www.1728.org/combinat.htm

Filling in the formula in which 'r' = 9 and n = '15'

combinations = n! / (r! * (n-r))!

combinations = 15*14*13*12*11*10 * 9! / (9! * 6!)

combinations = 15*14*13*12*11*10 / 6*5*4*3*2*1

combinations = 14 * 13 * 11 * 10 / 4  

= 14 * 13 * 11 * 2.5

= 5,005

answer is "d"

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

substitute the x- coordinate of the point into both equations and if the value obtained is equal to the y- coordinate then the point is a solution.

y = - 4 + 6 = 2 ← true

y = 2(4) - 4 = 8 - 4 = 4 ≠ 2 ← false

Thus the point is not a solution to the system

Answer:

You say

473- 397

=76

So maybe train A is 76 tons while train B is 397

Hope answer helps

Potential is what an individual is capable of doing or becoming

Answer:

Having or showing the capacity to develop into something in the future is called potential

Answer:

20

Step-by-step explanation:

please rate 5 stars and thank it and make brainliest

hope this helps have a good day

Answer:

12.43

Step-by-step explanation:

Hi There Answer 12.43

Step-by-step explanation: