The steps shown can be used to prove that the medians of a triangle meet at a point.


Triangle A B C is shown on an x and y-axis. Lines are drawn from each point to the opposite side and intersect at point G. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), and point E is at (a, b).


1. Define segments BD and CE as medians of triangle ABC.

2. Write linear equations for Line B D and Line C E.

3. Use a system of linear equations to solve for the coordinates of intersection point G.

4. Write the equation of Line A G.

5. Write an expression for the midpoint of BC, point F.

6. ?


Write a linear equation for each side of the triangle.
Write an expression for the midpoint of AC and BC.
Show that A F is congruent to BD and CE.
Show that A F is the median of BC.

Answer:

let the third proportion be x.

then 8,12 and x are in proportion

then 8:12=12:x

8x=12×12

x=144/8=18

Step-by-step explanation:

Answer:

I cannot say without a picture, send one and I'll be glad to help.

Answer:

Step-by-step explanation:

42+4n<50, so n<4

Answer:

42+4n ≥ 50, so n ≥ 2

Fraction of stamp from Mexico = 3/8 of total stamps. So total number of stamps are 48.

Answer:

The next number is -12 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ The pattern is 2,916, -972, 324, -108, 36, ....

→ All the given numbers are divisible by 3 because the sum of

  the digits of each number can divide by 3

∵ The pattern has positive and negative numbers

∴ Each next term = the previous term ÷ -3

→ Let us do that to find the missing number

∵ 2916 ÷ -3 = -972

∵ -972 ÷ -3 = 324

∵ 324 ÷ -3 = -108

∵ -108 ÷ -3 = 36

→ Find the next number by divide 36 by -3

∵ 36 ÷ -3 = -12

∴ The next number is -12

Answer:

a)3^-2 = 1/3^2 =1/9

b)4^-3 = 1/4^3 = 1/64

c)2^-6 = 1/2^6 = 1/64

Answer:

c

Step-by-step explanation:

its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down

Answer:

6.5 days

Step-by-step explanation:

106 - 80 =26

26/4= 6.5 days

Answer:

for 80cm

1 =4 cm

x=80cm

4 cmx=80 cm

4 cm. 4 cm

x=20 days

Step-by-step explanation:

1 is equal to 4cm

there x is equal to 80cm

cross multiply

then divid though by 4 because it has letter x

and finally you 20 days as your answer.

Answer:

Total profits = 49.50n

Step-by-step explanation:

Cost of each quilt = $30.50

Selling price of each quilt = $80

Profits = selling price - cost price

= $80 - $30.50

= $49.50

Profits = $49.50

If n = number of quilts she sells

which expression could be used to represent her total profits?

Total profits = profits of each quilt × number of quilt sold

= $49.50 × n

= 49.50n

Total profits = 49.50n

Step-by-step explanation:

(2/3 + 4/5) / (3/6)

= (10/15 + 12/15) * 2

= (22/15) * 2

= 44/15.

Answer:

Graph G

Step-by-step explanation:

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong

The slope (rate of change) of a line (m) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

[tex]Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second[/tex]

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

[tex]Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second[/tex]

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

[tex]Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second[/tex]

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

[tex]Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second[/tex]

Answer:The answer is H , It is the graph where -10 is right below the 0 on the y.

Answer:

3 3/4 cups of sugar

Step-by-step explanation:

Answer:

f(-6) = 5

Step-by-step explanation:

We want to find the value of the graph when x = -6

Go to where x = -6 and the y value is 5

f(-6) = 5

Answer:

208

Step-by-step explanation:

20 × 0 = 0

40 + 40 = 80

125 + 3 = 128

The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.

Given :

Expression - [tex]40+40-20\times 0+3+125[/tex]

The following steps can be used to evaluate the given expression:

Step 1 - Write down the expression.

[tex]=40+40-20\times 0+3+125[/tex]

Step 2 - First, multiply -20 by 0 in the given expression.

[tex]=40+40-0+3+125[/tex]

Step 3 - Now, Add 40 and 40 in the above expression.

= 80 + 3 + 125

Step 4 - Add 80 and 3 in the above expression.

= 83 + 125

Step 5 - Add 83 and 125 in the above expression.

= 208

For more information, refer to the link given below:

https://brainly.com/question/1957976

Answer:

Number of sedans on the ship = 99

Step-by-step explanation:

Given that:

Ratio of sedans to station wagons = 11 : 2

Number of station wagons count by Tom = 18

Number of sedans = x

Ratio of sedans to station wagons = x : 18

The relationship is directly proportional;

11 : 2 :: x : 18

Product of mean = Product of extreme

2x = 11*18

2x = 198

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{198}{2}\\x=99[/tex]

Hence,

Number of sedans on the ship = 99

Answer:

The value of a is 3 while the value of b is 4

Step-by-step explanation:

Here, we want to express the given polynomial in the given form while giving the values of a and b

We can rewrite the polynomial as follows;

x^2 + 6x + 9 + 4

We can factorize the first part;

x^2 + 3x + 3x + 9 + 4

x(x + 3)+ 3(x + 3) + 4

= (x + 3)(x + 3) + 4

= (x + 3)^2 + 4

Answer:

Maybe.......... No lol. Some people just word it weird. When you change up the wording of the questions it helps sometimes.

Step-by-step explanation:

Answer:

What's your question you have having a problem?

Answer:

yeah sure

Step-by-step explanation:

the answer is there already right

Answer:

She spent 19.82 in all

Step-by-step explanation:

I added them

Answer:

13x

Step-by-step explanation:

8x+5x

13x (collect the like terms)

Answer:

a

Step-by-step explanation:

simplify 5(x+3) = 5x+15

Factor 5 out of 5x+15.

A. 5 (x + 3)

Answer:

C. Distribute 4 to (6 - x).

Step-by-step explanation:

Person above is right.

Juan’s first step should be C. Distribute 4 to (6 – x).

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a b + a c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

We are given an equation as;

4(6 – x) = 12

Here Juan wants to solve the equation, using the Distributive Property.

thus, 4(6 – x) = 12

First step is to distribute 4.

4(6) – 4(x) = 12

Then solve;

24 - 4x = 12

x = 3

Hence, Juan’s first step should be C. Distribute 4 to (6 – x).

Learn more about distributive property here;

https://brainly.com/question/5637942

#SPJ2

Answer:

y=20x75 is the answer

Step-by-step explanation:

You can basically eliminate other two choices since they are division

Answer:

-50n + 42

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-8n - 7(6n - 6)

Step 2: Simplify