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3 years ago

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.

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

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

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In the spring, the owner of a sporting goods store decreases the price of winter gloves from $10.00 to $8.00. She increases the

TEA [102]

Answer:

without doing the math, we can affirm that the percent in decrease in the price of the gloves is <u>not</u> the same as the percent increase of the goggles. decreasing $2 from $10 will have a lower decrease than an increase of $2 from $8 since $2 represents a higher portion of $8 compared to $10

Step-by-step explanation:

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2 years ago

If 5x – 4 = 31, what is the value of x?

Lunna [17]

Answer:

x = 5 $\frac{2}{5}$

Step-by-step explanation:

Hi there!

So, to answer this problem, I'll use the reverse method.

31 - 4 = 27,

So how many times, can 5 go into 27?

The closest factor of 5 to 27 is 25.

5 can go in to 27, 5 times.

Continuing on, there is a 2 left over, so the answer to your question is

x = 5 $\frac{2}{5}$

5 · 5 $\frac{2}{5}$ - 4 = 31

Let me know if I am incorrect and I will attempt to find the right answer for you.

<em>waffletowne</em>

7 0

2 years ago

Read 2 more answers

A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio

Jet001 [13]

Answer:

The mean for the sampling distribution of the sample proportion is 0.29

The standard deviation for the sampling distribution of the sample proportion is 0.01435

Step-by-step explanation:

The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29

The standard deviation for the sampling distribution of the sample proportion is calculated as;

$\sqrt{\frac{p(1-p)}{n} }$

Using the given values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation becomes;

$\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\$

The s.d becomes 0.01435

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3 years ago

Five adult tickets and three child tickets for a movie costs £55. The cost of buying two adult tickets and three child tickets i

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Answer:

adult £8
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Step-by-step explanation:

If you look at the numbers you are given, you see that the first purchase has 3 more adult tickets than the second purchase, and its cost is £24 more. This means an adult ticket costs £24/3 = £8.

Two adult tickets will cost 2×£8 = £16, so three child tickets cost ...

£31 -16 = £15

Each child ticket is then £15/3 = £5.

An adult ticket costs £8; a child ticket costs £5.

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3 years ago

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2 years ago