Complete the proof for the following Algebraic Equation:

3x + 6 = 2(x-1)

Select the answer for x below and show the proof on your page for uploading.

O x - 4

Ox= 1

O x=8

O x--7​

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Answer:

144

Step-by-step explanation:

The independent variable in the linear relationship is the number of people.

The dependent variable in the linear relationship is the cost of the dinner.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of dinner for 3 people = $42

Cost of dinner for 7 people = $98

The cost of dinner for one person = $14

Now,

The linear function for this relationship.

f(x) = 14x

Where x is the number of people and f(x) is the cost of the dinner.

Now,

The number of people is the independent variable.

The cost of dinner is the dependent variable.

Thus,

Independent variable = Number of people/

Dependent variable = Cost of the dinner.

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Answer:

A

Step-by-step explanation:

John can mow the same lawn in 3 hours.

In 1 hour he can mow 1/3rd of the lawn.

In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.

Together they can mow the lawn in 6/5 hours=1.2 hours.

I hope this helped, please mark Brainliest, thank you!!

Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

The correct option is (C).

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

John can mow his lawn in 3 hours.

Julie can mow same lawn in 2 hours.

In 1 hour = 1/3rd of the lawn.

In 1 hour, together they can mow

= (1/2+1/3)

=5/6th of the lawn.

Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

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Answer:

3/5, 1, 8/5, 8

Step-by-step explanation:

Answer:

0, 35, 8/5, 8.  I think

Step-by-step explanation:

hope this helps :3

im sorry if im wrong

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Hope I did the way it was required! And helped you somehow!

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.

I hope this helps. Brainliest would be nice to.

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

Answer:

She got an equally good deal both times

Step-by-step explanation:

[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

they are the same

Answer:

B

Step-by-step explanation:

answer is B

and what is ypur grades

Answer:

D You got it right. 65% 5/8 3/5 0.5

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

Answer:

Let the numbers be x and y

x+y=100

x-y=95

taking x-y=95

x=95+y

x+y=100

95 + y +y = 100

2y=100-95

y=5/2

y=2.5

x=95+y

x=95+2.5

x= 97.5

Hope it helps...............

The two numbers are 97.5 and 2.5.

Subtraction is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

The sum is 100 and the difference is 95.

x + y = 100 ⇒ x = 100 - y

x - y = 95

Substituting x = 100 - y in the second equation,

100 - y - y = 95

100 - 2y = 95

2y = 100 - 95

2y = 5

y = 5/2 = 2.5

x = 100 - y = 100 - 2.5 = 97.5

Hence the numbers are 97.5 and 2.5.

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Answer:

Pie*radius*2 you did not give me the radius

Step-by-step explanation:

Answer:

5 square feet

Step-by-step explanation:

First, you need to convert the inches into feet

24: 2

30: 2.5

2*2.5= 5

So it is 5square feet

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

9514 1404 393

Answer:

  m∠CAB = 62°

  m∠CBG = 114°

Step-by-step explanation:

Given:

  the above figure

Find:

  What are the measures of angles CAB and CBG

Solution:

The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.

So, angle CBE = 150° -84° = 66°

Angle CBG is the supplement of this, so is ...

  m∠CBG = 180° -66° = 114°

That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...

  m∠CAB = 114° -52° = 62°

Answer:

(9,-3)

Step-by-step explanation:

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Answer:

e = 10

Step-by-step explanation:

Simplifying

0.5e + 20 = 25

Reorder the terms:

20 + 0.5e = 25

Solving

20 + 0.5e = 25

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-20' to each side of the equation.

20 + -20 + 0.5e = 25 + -20

Combine like terms: 20 + -20 = 0

0 + 0.5e = 25 + -20

0.5e = 25 + -20

Combine like terms: 25 + -20 = 5

0.5e = 5

Divide each side by '0.5'.

e = 10

Simplifying

e = 10

Answer:

e = 1

Step-by-step explanation:

0.5e + 20 = 25

0.5e = 5

e = 1

You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1

pls give brainliest!!

Answer:

hi

Step-by-step explanation:

28.5

Answer:

15

Step-by-step explanation:

Answer: 75+50x= 105+35x , required equation.

Step-by-step explanation:

Let x = Number of days

Given:  Company "A" charges $75 plus a $50 a day.

Total charge = 75+50x

Company "B" charges $105 plus $35 a day.

Total charge = 105+35x

When both are same , equation becomes

75+50x= 105+35x

So, Required equation: 75+50x= 105+35x

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

Answer:

Ok

Step-by-step explanation:

Go for it

Answer:

tbh there are quite a lot of possibilities

I'll just name the properties but not show which angle applies to it cos that's too time consuming

Step-by-step explanation:

vertically opposite angles

interior / exterior alternate angles

corresponding angles

angles on a straight line are supplementary