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Answer:

[tex]\overline{FM}=20[/tex]

[tex]\overline{MG}=20[/tex]

Therefore,

[tex]\overline{FG}=40[/tex]

Step-by-step explanation:

Once M is the midpoint of FG, we conclude that

FM is half of FG and MG is half of FC and hence, FM = MG.

Given:

[tex]\overline{FM}=12x-4[/tex]

[tex]\overline{MG}=5x+10[/tex]

[tex]\overline{FM} = \overline{MG} \implies 12x-4 = 5x+10 \implies 7x=14 \implies \boxed{x = 2}[/tex]

So,

[tex]\overline{FM}=12x-4 = 12(2)-4=24-4=20[/tex]

[tex]\overline{MG}=5x+10 = 5(2)+10 = 10+10 =20[/tex]

Answer:

M = 1.2

Step-by-step explanation:

Answer:

Y= -4/3x-1

Step-by-step explanation:

The distance from our y values is -16

The distance from our x values is 12

We have -16/12 which we reduce to -4/3

Rise/Run=Y/X

Use can use the rise over Run strategy to eventually find your y intercept which is -1.

Hope this helps! :)

Answer:

Y= -4/3x-1

Use the linear equation to solve problems like this.

Answer:

x=0

Step-by-step explanation:

x/9+8=8

(add 8 to both sides)

x/9=0

(times both sides by 9)

x=0

Answer:

x)=3/2x-1;+k(x)=-4 wh

Step-by-step explanation:

9514 1404 393

Answer:

  34

Step-by-step explanation:

The sorted list is ...

  23, 32, 32, 34, 45, 56, 71

The middle number in the list is the median. The median is 34.

Increase in the length of one side = 3.8 ft

Step-by-step explanation:

Yossi has garage whose area is 280 ft²

After rebuilt their is increment in area by 50%

New Area = 280 × 150% = 420 ft²

Also we know that Area of Square = (Length) × (Length)

⇒ Length of Newly built garage = √420 = 20.5 ft

and Length of Originally garage = √280 = 16.7 ft

⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft

HOPE THIS HELPS!!!!!!!!!!! !!!!!!!!!!!!!!

Answer:

x=45 degrees y=20

Step-by-step explanation:

Im a bit too lazy but thats the answer.

Answer:

4 1/4 kg

Step-by-step explanation:

2 3/4 + 1 1/2

convert to have common denominators

2 3/4 + 1 2/4

convert to improper fractions (whole number × denominator + numerator / denominator)

11/4 + 6/4

add numerators and keep same denominator

17/4

convert to mixed number

17 goes into the denominator 4 times with 1 left over so:

4 1/4

Answer:11/4 + 3/2

LCM of denominators = 4

11/4 x 1 = 11/4 and 3/2 x 2 = 6/4

So, 11/4 + 6/4 = 17/4 = 4 1/4

Step-by-step explanation:

Answer:

x² + 2x + 9 - [tex]\frac{7}{x+3}[/tex]

Step-by-step explanation:

Using Synthetic division

- 3 |   1    5     15   20

       ↓  - 3   - 6    - 27

     ----------------------------

       1     2      9     - 7 ← remainder r(x)

Quotient Q(x) = x² + 2x + 9

Thus

x³ + 5x² + 5x + 20 = x² + 2x +9 - [tex]\frac{7}{x+3}[/tex]

Answer:

Step-by-step explanation:

Expand: 9 - 15 +12x

Simplify: -6 + 12x

-6 (1 - 2x)

The solution of the given expression 9-3(5-4x) is -6 (1 - 2x).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 9-3(5-4x). The expression will be simplified as:-

E = 9 - 15 +12x

E = -6 + 12x

E = -6 (1 - 2x)

Therefore, the solution of the given expression 9-3(5-4x) is -6 (1 - 2x).

To know more about an expression follow

https://brainly.com/question/1859113

#SPJ2

Answer:

should get 0.2 hope this helps you!

Step-by-step explanation:

Answer:

The Boston Massacre is important because It was a confrontation in 1770 that worsened tensions between the 13 colonies. The manslaughter may have been an accident, but It helped lead all the tension between the people to something far worse

Step-by-step explanation:

This is History btw, Not Mathematics. :) Good Luck!

Answer:

Yes it is a function because there is one output for every input.

Step-by-step explanation:

Hope this helps :)

Answer:

84,000 m + 36,000 p = 1,962,800

Step-by-step explanation:

Let m denotes number of miles of 2-lane roads the department could resurface and p denotes number of workers hired by the department of Streets of a city.

The cost of resurfacing a mile of 2-lane road is estimated at $84,000.

So,

Cost of resurfacing m miles of 2-lane road = $84,000 m

The average starting salary of a worker in the department is $36,000  a year

So,

Total salary paid to p workers = $36,000 p

Now, total amount is equal to $1,962,800.

84,000 m + 36,000 p = 1,962,800

An equation that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, p, if it spends the entire budget is given as follows  

[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]

Equation (1)  is the model equation for the given situation.

According  to  the question

Numbers of  miles of 2 lane road = m

Number of workers that could be hired = p

The cost of resurfacing a mile of 2-lane road is estimated at $84,000. /mile

here m and p are our variables

The average starting salary of a worker in the department is $36,000 /year

The Department of Streets of a city has a budget of $1,962,80.

So the Equation for the budget can be written as

[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]

Equation (1) represents One linear equation with two variables.

For more information please refer to the link below

https://brainly.com/question/13911928

Answer:

0

Step-by-step explanation:

TRUST

Answer:

0

Step-by-step explanation:

-2 is too small and won't fit.

-1 1/3 is not an integer (it has a fraction)

-0 is correct, it's an integer

-1.2 is not an integer (it is a decimal)

Answer:

Divide the number of fastballs by the total number of pitches:

240 / 384 = 0.625

Step-by-step explanation:

[tex]x° + 135° = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 135[/tex]

[tex]x = 45°[/tex]

Therefore , the value of x = 45° .

Answer:

1) x = 180- 92- 63=22

Step-by-step explanation:

Answer:

Number 1 =25°

Number 2 =37°

Number 3=60°

Number 4= x=67°.. Z=52°.... Y=113°

Number 5= x=56°.. Y=81°... Z=99°

Number 6= x=35°... Y=134°...z=46°

Answer:

1.B not sure about 2 though sorry i couldnt help u on 2 Step-by-step explanation:

Answer:

1. 20

2. 34

3. 14

Step-by-step explanation:

20 is smallest number

34 is biggest number

34-20=14

range is 34-20

Answer:

27

Step-by-step explanation:

divide by two, multiply by 3.

8 divided by 2= 4

4 times 3= 12

12 divided by 2= 6

6 times 3= 18

18 divided by 2= 9

therefore

9 times 3= 27

Answer:

6.8 + r

Step-by-step explanation:

increased means addition, so add r to 6.8:

6.8 + r

Answer:

d =-65

Step-by-step explanation: