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2 years ago

Which statement can be proved true using the given theorem?

Mathematics

1 answer:

Alexxx [7]2 years ago

4 0

Answer:

BF = 16

Step-by-step explanation:

18/12 = 1.5 * 6 = 9

Since DE and BF are parallel and DB and EF are parallel, they comprise a parallelogram. This means that DB = EF

DB = EF = 9

24/1.5 = 16

DE = 16

BF = 16

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Which statement is correct when a scatterplot is constructed? A.The independent variable is the input variable and should be rep

spayn [35]

Answer:- A.The independent variable is the input variable and should be represented by the x-axis.

Explanation:-

A. Correct.

B. Not correct.

<u>Reason</u>:- The independent variable is the input variable and should be represented by the x-axis.

C. Not correct.

<u>Reason</u>:- The dependent variable is the output variable and should be represented by y-axis.

D. Not correct.

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2 years ago

Colin gets £xx wages each week. After he pays his tax of £tt, he then pays his rent of £250. He shares what's left between himse

Levart [38]

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Answer:

(x -t -250)/2

Step-by-step explanation:

The amount left from x after paying t and 250 is ...

x -t -250

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share = (x -t -250)/2

5 0

2 years ago

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the

expeople1 [14]

The probability that one of each color is selected is $\frac{10x - x^2}{45}$

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

Total = 10
Red = x
Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

$P = P(Blue) \times P(Red) + P(Red) \times P(Blue)$

So, we have:

$P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}$

This gives

$P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}$

Take LCM

$P = \frac{2x(10 - x)}{90}$

Simplify the above expression

$P = \frac{x(10 - x)}{45}$

Expand

$P = \frac{10x - x^2}{45}$

Hence, the probability that one of each color is selected is $P = \frac{10x - x^2}{45}$