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Alex_Xolod [135]
4 years ago
15

Involves triangle centroid

Mathematics
1 answer:
Rasek [7]4 years ago
6 0
Here, you do the same as the previous one, keeping in mind that X cuts TW in a 2:1 ratio.

\bf TW-TX=XW\implies \cfrac{8a}{5}+\cfrac{1}{10}-\left(a +\cfrac{4}{5} \right)=XW
\\\\\\
\cfrac{8a}{5}+\cfrac{1}{10}-a-\cfrac{4}{5}=XW\implies \cfrac{3a}{5}-\cfrac{7}{10}=XW\\\\
-------------------------------\\\\

\bf TX:XW\qquad 2:1\qquad \cfrac{TX}{XW}=\cfrac{2}{1}\implies \cfrac{a+\frac{4}{5}}{\frac{3a}{5}-\frac{7}{10}}=\cfrac{2}{1}
\\\\\\
\cfrac{\frac{5a+4}{5}}{\frac{6a-7}{10}}=\cfrac{2}{1}\implies \cfrac{5a+4}{5}\cdot \cfrac{10}{6a-7}=\cfrac{2}{1}\implies \cfrac{10a+8}{6a-7}=\cfrac{2}{1}
\\\\\\
10a+8=12a-14\implies 22=2a\implies \cfrac{22}{2}=a\implies 11=a
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Solve the equation: 2y+4^2=64
JulsSmile [24]

Answer:

2y +  {4}^{2}  = 64 \\ 2y + 16 = 64 \\ 2y = 64 - 16 \\ 2y = 48 \\  \\ y =  \frac{48}{2}  \\  \\ y = 24

I hope I helped you^_^

7 0
3 years ago
You borrow $2,000 for a period of 4 years you are charged simple interest at a rate of 3% how much will you repay at the end of
Aleks [24]
At the end of 4 years you will pay a extra 240 dollars 
8 0
3 years ago
Solve the system algebraically<br> x+3y=11<br> 4x-4y=7
ololo11 [35]

Answer:

x = 65/16,   y = 37/16

Step-by-step explanation:

solve the system algebraically

x+3y=11

4x-4y=7

Try substitution.

let  x =  11 - 3y

Plug in.

4(11 - 3y) - 4y = 7

44 - 12y - 4y = 7

44 - 16y = 7

37 = 16y

y = 37/16

x = 11 - 3*y

x = 11 - 3*(37/16)

x = 11 -  111/16

x = 65/16

6 0
3 years ago
Read 2 more answers
What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400
mafiozo [28]

The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

<h3>What is the sector of a circle?</h3>

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

The radius of the sector =20 units

Central angle subtended by sector = 162° = 162π/180 radians

As we know the area of a sector= 0.5r²α

where r is the radius and α is the central angle.

So, the area of the given sector = 0.5*20²* 162π/180

The area of the given sector = 180π unit²

Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

To get more about the sector visit:

brainly.com/question/25305793

4 0
2 years ago
Giving Brainliest to whoever gets these correct!!!
Kruka [31]

Answer:

48%

Step-by-step explanation:

1+6+2+3 = 12

12 is 48% of 25

u mah good friend UwU

3 0
3 years ago
Read 2 more answers
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