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3 years ago

Which point is the incenter of △DEF ?

Mathematics

2 answers:

stellarik [79]3 years ago

7 0

It is point G, because that is where the 3 angle bisectors meet.

charle [14.2K]3 years ago

4 0

Answer:- G is the point which is the incenter of Δ DEF.

Explanation:-

Incenter of a triangle is defined as a point occurred by the intersection of the internal angle bisectors of the three vertices of the triangle.

In the given picture ΔDEF has three angle bisectors ,bisecting vertices of triangle D,E and F and intersect at point G.

Thus point G is the incenter of Δ DEF.

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( – 1, – 5) 7x+2y=13, 4x+4y=14

serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

[1] 7x + 2y = 13

[2] 4x + 4y = 14 <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14

Solve by Substitution :

// Solve equation [2] for the variable y

[2] 4y = -4x + 14

[2] y = -x + 7/2

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

[1] 7x + 2•(-x +7/2) = 13

[1] 5x = 6

// Solve equation [1] for the variable x

[1] 5x = 6

[1] x = 6/5

// By now we know this much :

x = 6/5

y = -x+7/2

// Use the x value to solve for y

y = -(6/5)+7/2 = 23/10

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

[1] 7x + 2•(-x +7/2) = 13

[1] 5x = 6

// Solve equation [1] for the variable x

[1] 5x = 6

[1] x = 6/5

// By now we know this much :

x = 6/5

y = -x+7/2

// Use the x value to solve for y

y = -(6/5)+7/2 = 23/10

4 0

2 years ago

A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late

Molodets [167]

Answer:

The clearance price is $17.28.

The clearance price will not give the store any profit.

Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

$\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)$

$\text{Price of the hat after an increase of 60\%}=20+(0.60*20)$

$\text{Price of the hat after an increase of 60\%}=20+12$

$\text{Price of the hat after an increase of 60\%}=32$

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

$\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)$

$\text{Price of the hat after sale of 10\%}=32-(0.10*32)$

$\text{Price of the hat after sale of 10\%}=32-3.2$

$\text{Price of the hat after sale of 10\%}=28.8$

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

$\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)$

$\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)$

$\text{Price of the hat after clearance sale}=28.8-11.52$

$\text{Price of the hat after clearance sale}=17.28$

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

7 0

3 years ago

What is the factorization of the polynomial below?

MrMuchimi

Answer:

Step-by-step explanation:

4 0

3 years ago

Charlene needs 7 pieces of brown thread. Each piece must be 1/3 yard long. How much thread should she buy?

SIZIF [17.4K]

Answer:

Step-by-step explanation:

4 0

3 years ago

How do you write 4.41*<br><img src="https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B1%7D%20" id="TexFormula1" title=" {10}^{1} " alt="

Angelina_Jolie [31]

If you’re trying to convert it to standard notation then it’s 44.1 as your answer.

7 0

2 years ago

Read 2 more answers

Which point is the incenter of ​ △DEF ​ ?

Which point is the incenter of △DEF ?