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igomit [66]
2 years ago
9

One of the angles in an intersecting line mesures 30

Mathematics
1 answer:
asambeis [7]2 years ago
7 0

Think of the point, P,  where the lines intersect as the center of a circle.  The four angles with vertex P add up to 360 degrees.  The given angle and its paired vertical angle are both 30 degrees.  So, the other two angles are also vertical angles with sum 300 degrees (so each of them is a 150 degree angle).  

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The two-way table shows the number of books of each type in Eliza's home ​what is the probability that a randomly selected refer
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Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table

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So, the probability is

Pr=\dfrac{10}{25}=\dfrac{40}{100}=0.4

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Answer: \left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}

=======================================================

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We have some number x such that x is a real number, so we write that as x \in \mathbb{R} which is saying "x is in the real number set".

The portion -5 \le x < 16 is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.

This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.

The curly braces surrounding everything indicates that we have a set of values.

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Side note:

If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.

Though chances are your teacher will want you to stick to real numbers rather than just integers.

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