Line segments that have the same length are called similar segments. True or false?

Mathematics

1 answer:

guajiro [1.7K]1 year ago

3 0

The statement that line segments that have the same length are called similar segments is false

<h3>How to determine the true statement?</h3>

The statement is given as:

Line segments that have the same length are called similar segments.

As a general rule:

Line segments that have the same length are similar segments.

However, line segments that have the same length are not called similar segments

Instead, line segments that have the same length are called congruent lines

This means that the the statement that line segments that have the same length are called similar segments is false

Hence, the statement that line segments that have the same length are called similar segments is false

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If two standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the two dice? express y

zaharov [31]

We define the probability of a particular event occurring as:
$\frac{number\ of \ desired\ outcomes}{number\ of\ possible\ outcomes}$

What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are <em>independent</em>, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for <em>each </em>of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.

Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:

(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5

So, we have $\frac{3}{36} = \frac{1}{12}$ probability of rolling at least one 5.