Involves triangle centroid

Mathematics

1 answer:

Rasek [7]3 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.

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

$\bf TX:XW\qquad 2:1\qquad \cfrac{TX}{XW}=\cfrac{2}{1}\implies \cfrac{a+\frac{4}{5}}{\frac{3a}{5}-\frac{7}{10}}=\cfrac{2}{1}
\\\\\\
\cfrac{\frac{5a+4}{5}}{\frac{6a-7}{10}}=\cfrac{2}{1}\implies \cfrac{5a+4}{5}\cdot \cfrac{10}{6a-7}=\cfrac{2}{1}\implies \cfrac{10a+8}{6a-7}=\cfrac{2}{1}
\\\\\\
10a+8=12a-14\implies 22=2a\implies \cfrac{22}{2}=a\implies 11=a$

You might be interested in

Please help me with this!!

rewona [7]

Area = b * h
Area of orange = area of big square subtract by area of small square

Small square = b^2
Big square = a^2
(a^2 - b^2) = (a - b)( a + b)

Solution: (a - b) (a + b)

8 0

2 years ago

Read 2 more answers

Tom bought 3 gallons of grey paint and 2 gallons of red paint. Grey paint is $24.59 per gallon and red paint is $37.99 per gallo

tigry1 [53]

Answer:

The red will cost him more by $2.21

Step-by-step explanation:

First you multiply the amount of gallons of grey paint and the cost and you get 24.59 x 3= 73.77

The do the same for red

37.99 x 2= 75.98

the red is going to cost him more by 75.98-73.77= $2.21