These written below are the answers to these questions....
Translate triangle ABC down 5 units then left 2 units
Translate FGH up 5 units then right 2 units.
Answer:

Step-by-step explanation:
we are given a inverse trig
we want to figure out the value of
in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°
therefore,
the value of theta is 120°
likewise by unit circle the value of sine is

Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:
N = 8, k = 5, n = 3, x = 3.
Hence the probability is given by:


0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
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We have 4 parts in one whole when we split it into fourths; in other words, 4/4 = 1 whole. To convert 10/4 to a mixed number, we first need to find out how many wholes can fit into it. In this case, we can break 10/4 down into

Giving us <em>2 wholes </em>and <em>2 fourths</em>, or 2 2/4 as a mixed number. Note that 2/4 is the same as 1/2, so we can write the simplified mixed number as
2 1/2