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1 year ago

Use the Venn diagram shown

Mathematics

2 answers:

Zolol [24]1 year ago

8 0

Answer: {9, 17}

Step-by-step explanation:

$A \cup B$ denotes the union of the sets A and B (all the distinct elements in either set)

$(A \cup B)'$ denotes the complement of the union of sets A and B (the elements in the universal set but not in the union).

So, the answer is {9, 17}.

neonofarm [45]1 year ago

3 0

Answer:

Third Option: {9, 17}

Step-by-step explanation:

(A∪B) means "the union of A and B". This means the question is asking for every point in both A and B.

The apostrophe (') symbol, in this situation, means "except for", for lack of a better term. So this question asks for everything except for what's inside A and B.

The only points here that are NOT within the circles A and B are 9 and 17.

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A right triangle has a hypotenuse length of 12, and one side length of 9. find the missing side length. do the side lengths form

Rina8888 [55]

Use the Pythagorean theorem:

$a^2+b^2=c^2$

c - a hypotenuse

a, b - legs

We have: a = 9 and c = 12. Substitute:

$9^2+b^2=12^2$

$81+b^2=144$ <em>subtract 81 from both sides</em>

$b^2=63\to b=\sqrt{63}\\\\b=\sqrt{9\cdot7}\\\\b=\sqrt9\cdot\sqrt7\\\\ \boxed{b=3\sqrt{7}}$

A Pythagorean triple consists of three positive integers a, b and c, such that

$a^2+b^2=c^2$ .

$b=3\sqrt{7}$ is not positive integer.

<h3>The sides of the triangle do not form a pythagorean triple.</h3>

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2 years ago

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cestrela7 [59]

Answer:2.50cm

Step-by-step explanation:

6 0

2 years ago

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Simplify the expression:<br> 2+(a +5) =

nekit [7.7K]

Answer:

a+7

Step-by-step explanation:

2 + 5 = 7
7+a or a+7

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2 years ago

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In the figure, b and c are parallel lines. Which of the following statements are true?

Helen [10]

Answer:

1. No, Joe is not correct

2. $\angle 5=72^{\circ}$

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. $\angle 5$

Solution:

Sum of two angles that form a linear pair is equal to $180^{\circ}$

$\angle 3+72^{\circ}=180^{\circ}$ (linear pair)

$\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}$

So, Joe is not correct

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

$\angle 5=72^{\circ}$ (alternate interior angles)

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2 years ago

if a dealer buys a car from a manufacturer for $20,480 and sells it for $26,808...what is his markup? rounded to the nearest ten

yulyashka [42]

To find the markup, substract the price at which the car was bought from the price at which the car was sold:

$26,808-20,480=6328$

To find the markup as a percentage from the original price, set 20,480 to be equal to 100%. If <em>x%</em> represents 6328, then:

$\begin{gathered} \frac{x}{6328}=\frac{100}{20,480} \\ \Rightarrow x=\frac{100\times6328}{20,480}=30.898\ldots \end{gathered}$

To the nearest tenth, 30.898... = 30.9.

Therefore, the markup is equal to 30.9%.

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7 months ago