Lucas makes the statement: "The exterior angles of a triangle are always obtuse." Of the following, which provides a counterexample to the statement?
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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.
What is an exterior angle?
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.
To know more about exterior angles visit:
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Any answer choices? Im sorry
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Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
= - 4x² + 24x - 36 + 16 ← collect like terms
= - 4x² + 24x - 20
Which equation can be represented by a graph with a vertex at (1,3)?
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The equation should be g(x) = x - 1 + 3.
Calculation of the equation:
Since the graph contains the vertex of (1,3)
The quadratic equation should be in the form of
Here (h,k) is the vertex, and 'a' is a constant.
So based on this, we can say that The equation should be g(x) = x - 1 + 3.
Learn more about an equation here: brainly.com/question/17165976
Answer:
See explanation
Step-by-step explanation:
You have not provided the options to help us give you a specific answer.
If a quadratic function is written in the form
Then (h,k) is the vertex, and 'a' is a constant.
For instance
has vertex at (2,3).
Also, an absolute function in the form
has vertex at (h,k).
This means
also has vertex at (1,3).
I hope this explanation is helpful.
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2×(6 m - 1.5 m) = 9 m
_____
A diagram can help you see the similar triangles.
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Answer:
it is 5/4
Step-by-step explanation:
if you add 5/4 but minus it you will see it stays the same