The given statement "The exterior angles of a triangle are always obtuse." is not always true.
The given statement is "The exterior angles of a triangle are always obtuse."
We need to provide a counterexample to the given statement.
The angle is formed by a polygonalside and its extended neighbouring side. When a transversal cuts one of two lines, it creates an angle that is outside of the line.
Take an obtuse-angled triangle as a counter-example:
An obtuse-angled triangle or obtuse triangle is a type of triangle whose one of the vertex angles is bigger than 90°. An obtuse-angled triangle has one of its vertex angles as obtuse and other angles as acute angles i.e. if one of the angles measure more than 90°, then the sum of the other two angles is less than 90°.
In the figure given below, we can see in ΔABC, ∠A=110°.
Exterior angle to ∠A measures 70°.
Therefore, the given statement "The exterior angles of a triangle are always obtuse." is not always true.
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Any answer choices? Im sorry
ANSWER:
Price of the stock after owning for 12 weeks is $12c, where c can be price per one week.
SOLUTION:
Given, the price of a particular stock is represented by the linear equation where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.
We need to find the price of the stock when this relationship continues, after it has been owned for 12 weeks?
As it is an linear equation, proportionality exists between x and y
y ∝ x
y = cx → ( 1 )
where, c is the proportionality constant.
Now, put x = 12 weeks to find the y value in (1).
y = c(12)
y = 12c
Hence, price of the stock after owning for 12 weeks is $12c, where c can be price per one week.
X = 3, negative times negative equals positive.
hope this helps
Answer:
7 thousands + 15 hundreds + 2 tens + 3 ones = 8523
Step-by-step explanation:
15 hundreds is equal to 1500, when subtracting that from the total of 8523, you get 7023 which still needs to be written in expanded form. The remainder can be written as the sum of:
Then adding the 15 hundreds that were given, will give a total 8523.