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andrew11 [14]
3 years ago
6

D is the centroid. Find Q D if DK =6.5.

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

QD = 13

Step-by-step explanation:

According to the Centroid theorem of a triangle, the Centroid is ⅔ of the distance from every vertex angle to the midpoint of the side opposite to each of them.

By this we can deduce that:

QD = ⅔(QD + DK)

Substitute

QD = ⅔(QD + 6.5)

Multiply both sides by 3

3*QD = 2(QD + 6.5)

3QD = 2QD + 13

Subtract both sides by 2QD

3QD - 2QD = 13

QD = 13

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Tom [10]

Answer:

y - 5 = -2(x + 3)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

point: (-3, 5)

slope (m): -2

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (5) = -2(x - (-3))

Simplify.

y - 5 = -2(x + 3)

This is your equation.

Learn with another example:

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8 0
2 years ago
How do u put 72 7/10 into decimal?
NNADVOKAT [17]

Answer:

72.7

Step-by-step explanation:

First multiply 72 by 10

because 72 is 72 10s, making it a whole number.

then add 720 (72 times 10) to 7.

then all of that over 10.

then just divide.

727/10

72.7

this is what you do for all mixed numbers like that one.

7 0
3 years ago
Read 2 more answers
Increase 250ml by 86%
Alexandra [31]
250=100%
25=10%
12.5=5%
2.5=1%
25*8=200(80%)
12.5+2.5=15(6%)
200+12=215(86%)
250+200=450(186%)
so 450ml is your answer
Hope this helped :)
6 0
3 years ago
The World Equity Index function shown contains two valuation metrics for the S&P 500. The Verizon description page contains
Nikitich [7]

Answer: Verizon is less expensive than the S&P 500 on both a P/E and dividend yield basis.

Step-by-step explanation:

When a <em>Price to Earnings ratio is relatively high</em> this means that the <em>Price of the security is high </em>because investors believe the company has good prospects.

When a Dividend Yield is relatively low, this means that the dividends being declared are quite lower than the price because Dividend yield is dividends as a percentage of security price. <em>Lower Dividend Yields therefore mean high security prices</em>.

Looking at the Verizon Chart and the S&P 500 you see that Verizon P/E ratio is 11.71 while S&P is 19.01.

This means that the price of Verizon's is less than S&P 500.

Also notice that Verizon's Dividend yield is 4.09% while S&P 500's is 1.91% again signifying that Verizon is cheaper.

I have attached the full question.

5 0
3 years ago
Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin str
svlad2 [7]

ANSWER



x=10


and


y=20




EXPLANATION



Since corresponding angles are equal,


4x+y=60---(1)




Alternate angles are also equal, therefore,


8x+y=100---(2)



Equation (2) minus equation (1) gives,



\Rightarrow 4x=40




\Rightarrow x=10




We put x=10 in to equation (1)





4(10)+y=60



y=60-40




y=20






4 0
3 years ago
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