We can simplify the expression with patience and a little mathematical tinkering.
The simplified expression is shown in the attached picture, along with more information obtained about your expression.
The objective is to add similar terms and fractions and group them together to form a solution in a compact, elegant form.
Answer:
Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal
In this problem
m<VXY=m<VUW ------> by corresponding angles
m<XVY=m<UVW -----> is the same angle
therefore
m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees
therefore
Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent
The complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
<h3>How to fill a truth table with composite propositions</h3>
In mathematics, propositions are structures that contains a truth value. There are two truth values in classic logics: True, False. Composite propositions are the result combining simpler propositions and operators. There are the following logic operators and rules:
- Negation changes the truth value of the proposition into its opposite.
- Disjunction brings out "true" value when at least one of the two propositions is so.
- Conjunction brings out "true" value when the two propositions are so.
- Conditional form brings out "true" value when both propositions are true or only the consequent is true or both propositions are false.
Now we present the complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
To learn more on truth values: brainly.com/question/6869690
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Step-by-step explanation:
here's the answer to the question
