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:

She can give 8 friendship bracelets to each of her friends and have 1 left-over.

Step-by-step explanation:

Answer:

-15x - 23 = 15

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Equation

-14 - 3x - 9 - 12x = 15

Step 2: Simplify

Answer:

Step-by-step explanation:

Answer:

No difference both of them are the same.

Step-by-step explanation:

When you graph the equation manually or with sites like geogebra you can see that they are the same line.

Answer:

x = 5    y = -13

Step-by-step explanation:

5(5) - 3 = 22 and 5 - (-13) = 18

The value of x and y is △ABC ≅ △DEF are 5 and -13 respectively

Since △ABC is congruent to △DEF. hence all the sides of △ABC will be equal to △DEF.

Given the sides of △ABC to be 18, 25, and 5x − 3.

Sides of △DEF to be 25, 22, and 5 − y

This shows that the third side of triangle △ABC is 22, hence

5x - 3 = 22

5x = 22 + 3

5x = 25

x = 5

Similarly, the thirs side of △DEF will be 18, hence;

5 - y = 18

y = 5 - 18

y = -13

Hence the value of x and y is △ABC ≅ △DEF are 5 and -13 respectively

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Answer:

26.0cm

Step-by-step explanation:

sin35=12/BD

BD=20.9cm

20.9/sin52=CD/sin102

CD=26.0

Answer: [tex]1250\ m^2[/tex]

Step-by-step explanation:

Let x= Total land.

Then for Maize = [tex]\dfrac{x}{3}[/tex]    

For Potatoes = [tex]\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x[/tex]

For beans = [tex]x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha[/tex]

[tex]\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha[/tex]

1 ha = 10000.00 m²

0.9375 ha = 9375 m²

Land for potatoes = [tex]\dfrac{2}{15}(9375) =1250\ m^2[/tex]

Hence, [tex]1250\ m^2[/tex] of the land is on potatoes.

Answer:

x- intercept is at [tex]( - 3 \frac{2}{3} ,0)[/tex].

y- intercept is at [tex](0,1 \frac{5}{6} )[/tex].

Step-by-step explanation:

The x-intercept occurs when y=0.

Thus, substitute y= 0 into the equation to find the x- intercept.

-3x +6y= 11

When y= 0,

-3x +6(0)= 11

-3x= 11

x= 11 ÷ (-3)

[tex]x = - \frac{11}{3} \\ x = - 3 \frac{2}{3} [/tex]

The y-intercept occurs at x= 0.

When x= 0,

-3(0) +6y= 11

6y= 11

y= 11÷ 6

[tex]y = 1\frac{5}{6} [/tex]

Answer:

A

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4 because four is the LCM OF 2 AND 4

Step-by-step explanation:

(4-7i)-(-3+6i)

4-7i+3-6i

7-13i(simplified)

Answer:

7-13i

Step-by-step explanation:

(4-7i) - (-3+6i)

4-(-3)+(-7-6)i

7-13i

They are both equal

0.05 = 0.050

Hope this helps

Answer:

equal

Step-by-step explanation:

0.05 = 0.050

Answer:

a) x^4

b) y

Step-by-step explanation:

whenever you divide exponents with the same base, subtract the exponents. for ex., a) 7-3=4, so the answer is x^4. Similarly with b, subtract 5-4.

Answer:

6

Step-by-step explanation:

Given that:

Cost of shirt = $12.50

Cost per socks = $2.50

Total amount paid = $27.50

How many pairs of socks was purchased =?

Let Number of socks purchased = x

Total amount paid = cost of shirt + (cost per socks * number of socks)

27.50 = 12.50 + (2.50 * x)

27.50 = 12.50 + 2.50x

27.50 - 12.50 = 2.50x

15 = 2.50x

x = 15 / 2.50

x = 6

Number of pairs purchased = 6

your Answer will be:

3

Answer:

B

Step-by-step explanation:

Because there is three numbers

Answer:

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Step-by-step explanation:

Answer:

399

Step-by-step explanation:

it none of those I can tell you that

Answer: C. 3.85

Step-by-step explanation:

Standard notation is the normal way of writing numbers.

You should move the point as many times as the exponent indicates.

Answer:

the 3rd choice,   10x + 5, looks good

Step-by-step explanation:

a coefficient is the number in front of a variable , so that's 10

a constant is a number w/o a variable ...  so that's 5

I believe that the answer is 10x + 5.

Coefficents are also know as "multipliers". They pair with variables (in this case, that is x). Constants are simply numbers on their own.

Hope that makes sense.

we are to find: the probability that the number of U.S. adult who thinks that the government should help fight childhood obesity is:

(a) exactly two  (b) at least four

Answer:

P(X =2) = 0.3160

P(X  ≥ 4) = 0.1656

Step-by-step explanation:

From the given information:

The population proportion = 39/100 = 0.39

the sample size = 6

(a) The required probability that exactly two adults fight childhood obesity out of the six is:

[tex]P(X=2) = (^6_2) (0.39)^2 (1-0.39)^{6-2}[/tex]

[tex]P(X=2) = \dfrac{6!}{2!(6-2)!} (0.39)^2 (1-0.39)^{4}[/tex]

[tex]P(X=2) = 15 \times 0.1521 \times 0.1385[/tex]

P(X =2) = 0.3160

(b)

The probability that at least 4 adults did is:

P( X ≥ 4) = P(X = 4) + P(X = 5) + P(X = 6)

[tex]P( X \ge 4) =(^6_4) (0.39)^4 (1-0.39)^{6-4} + (^6_5) (0.39)^5 (1-0.39)^{6-5}+ (^6_6) (0.39)^6 (1-0.39)^{6-6}[/tex]

[tex]P( X \ge 4) =(\dfrac{6!}{4!(6-4)!}) (0.39)^4 (1-0.39)^{2} +(\dfrac{6!}{5!(6-5)!}) (0.39)^5 (1-0.39)^{1}+ (\dfrac{6!}{6!(6-6)!}) (0.39)^6 (1-0.39)^{0}[/tex]

P(X  ≥ 4) = 0.1291 + 0.0330 + 0.0035

P(X  ≥ 4) = 0.1656

Answer:

1,296 cubic cm

Step-by-step explanation:

V = lwh

V = 4(3) x 2(3) x 6(3)

V = 12 x 6 x 18

Answer:

1,296 cm

Step-by-step explanation:

lenght=4

Width=2

Height=6

Volume of rectangular prism= lenght*Width*height

4*2*6

4(3)*2(3)*6(3)=

1,296 cm

Answer:

-4 for fish

+10 for birds

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

A bird is flying 10 feet above the water, a fish is swimming 4 feet under the water. What number represents the location of the fish on the number line. Iready lesson

A number line can be regarded as a straight line having a number with equal interval with both positive and negative sides

The number that represents the location of the fish on the number line is -4 while that of bird is +10

CHECK THE ATTACHMENT FOR THE NUMBER LINE

Answer: it should be -4

Step-by-step explanation: Hope this help

Answer:

1: 90

2:AEC

3: angle addition postulate

Step-by-step explanation:

Looking at the diagram, ∠CED is a right angle, the angle that measures

degrees are:

An angle is known to be a term that connote a kind of figure that is created by two rays that can be seen a common endpoint.

Note that an angle is shown by the symbol ∠. and thus Looking at the diagram, ∠CED is a right angle, the angle that measures degrees are 90 and Angle addition postulate.

Learn more about angle from

https://brainly.com/question/25770607

#SPJ2

Answer:

No

Step-by-step explanation:

One is smaller and one is bigger !

Answer:

70.3

Step-by-step explanation:

16.872/.24= 70.3

Answer:

a and c

Step-by-step explanation:

im just a god like that

Answer:

40,000

Step-by-step explanation:

Answer:

its 40,000

Step-by-step explanation:

An easy way is to multiply 2x2 and add the total number of 0's in the equation after the 4.