Answer:
scale factor is 2.5
Step-by-step explanation:
Notice that the original image is smaller than the scale drawing. Examine the ratios of the sizes:
Image/ Original :
height: 3.75 in / 1.5 in = 2.5
length: 5 in / 2 in = 2.5
The scale factor is clearly 2.5
-8 - 7x = -5x - 10....add 10 to both sides
2 - 7x = -5x ......NEXT STEP.....add 7x to both sides
False, an isosceles triangle has 2 equal sides.
In set theory<span>, the </span>complement of a set A<span> refers to </span>elements<span> not in </span>A<span>. The </span>relative complement<span> of </span>A<span> with respect to a set </span>B<span>, written </span><span>B \ A</span><span>, is the set of elements in </span>B<span> but not in </span>A<span>. When all sets under consideration are considered to be </span>subsets<span> of a given set </span>U<span>, the </span>absolute complement<span> of </span>A<span> is the set of elements in </span>U<span> but not in </span>A<span>.
</span>The empty set<span> is the </span>set<span> containing no elements. In mathematics, and more specifically </span>set<span> theory, the </span>empty set<span> is the unique </span>set<span> having no elements; its size or cardinality (count of elements in a </span>set<span>) is zero.
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Roster Form<span>: This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets { }. Example: A is a set of natural numbers which are less than 6.
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Set-Builder Notation<span>. A shorthand used to write </span>sets<span>, often </span>sets<span> with an infinite number of elements. Note: The </span>set<span> {x : x > 0} is read aloud, "the </span>set<span> of all x such that x is greater than 0." It is read aloud exactly the same way when the colon : is replaced by the vertical line.
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Universal set:<span>the set containing all objects or elements and of which all other sets are subsets.</span>
These are the formulas that will help you determine which type of triangle they are:
a^2+b^2 < c^2 ----> Obtuse Triangle
a^2+b^2 > c^2 ----> Actue Triangle
a^2+b^2 = c^2 ----> Right Triangle
Okay so now that you know that information, lets get into it :)
a. 5 in, 6 in, 7 in
You're going to take the smallest numbers, 5 and 6, and add them, if it equals a larger number than 7 then its a triangle and you have to determine if its an obtuse, right or acute triangle. In this case it is a triangle because 5 + 6 = 11 aka larger than 7.
The way you'll set this up is:
5^2 + 6^2 = 7^2
solve
25+36=49 -----> 25+36=61
61 > 49 or a^2 + b^2 > c^2
61 > is greater than 49
If you look ate the formulas that are above, this is an acute triangle.
b. 18 in, 9 in, 12 in
In this question, 9 and 12 are the smallest numbers that equal 21 and 21 is larger than 18 so, this is a triangle.
9^2 + 12^2 = 18^2
Solve
81 + 144 = 324 ----> 81 + 144 = 225
225 < 324 or a^2+b^2 < c^2
225 < is less than 324
If you look ate the formulas that are above, this is an obtuse triangle.
Something to just remember:
Sometimes you'll get a question which is like,
4 in, 5 in, 10 in
In this situation, if you add the smallest numbers which are, 4 and 5, you get 9, which is less than the larger number you have, 10. That means it is not a triangle. Just something to be aware about :)
I hope this helped you!
