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2 years ago

Which statement is true regarding the angles in the figure below?

Mathematics

2 answers:

Nesterboy [21]2 years ago

8 0

An exterior angle is an angle supplementary to one of the interior angles.

In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

Option D is the correct one!

S_A_V [24]2 years ago

3 0

Answer:

Angle D is not an exterior angle

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

Read more about probabilities at:

brainly.com/question/7965468

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2 years ago

adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an

Tom [10]

Adults = 9

Children = 2

Let x be the number of adults.

11-x is the number of children.

22x + 15(11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9 number of adults.

11 - x = 11 - 9 = 2 number of children.

To check:

22x + 15(11-x) = 228

22(9) + 15(11-9) = 228

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228 = 228

(not my answer btw)

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The answer to your question is 0

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