The union of sets P = {5, 6, 7, 8, 9} Q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2,
1 answer:
Answer: First option.
Step-by-step explanation:
Given two sets <em>A</em> and <em>B, </em>the union (<em>A</em>∪B) will be the set of elements which belong to either <em>A</em> or to <em>B</em> or to both.
Inf this case you have these two sets:
{
} and
{
}
To find the union of these sets, put together the elements of the set <em>P</em> and the elements of the set <em>Q</em> (you need to remember that no element must be repeated).
Then, you get that the union of sets <em>P </em>and <em>Q</em> is:
∪
{
}
This matches with the first option.
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Answer:
x=17
Step-by-step explanation:
See those same little "triangles" on each right end of the horizontal lines? That means that the horizontal lines are parallel. And the vertical line that passes through both of them is called a transversal. Whenever we have that situation - where parallel lines are being intersected by a transversal - we can then know which angles are equal to each other using some postulates.
The angles with the given equations shown are corresponding angles. We know this because they are in the same matching corners created by the intersections. And by using the Corresponding Angles Postulate, which states that corresponding angles are congruent (or equal) we then know that 5x-25 and 3x+9 must be equal to each other, too.
From there, we can set up an equation to find x. Just set them equal to each other like so and solve:
Therefore, x = 17. Please don't hesitate to ask any questions!