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21 September, 19:51

Let p: A triangle is acute.

Let q: A triangle is equilateral.

If q is true, which statements must be true? Select three options.

p ∨ q

p ∧ q

p → q

q → p

q ↔ p

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Answers (1)
  1. 21 September, 22:14
    0
    An equilateral triangle has all three angles as 60 degrees, this also makes the triangle an acute triangle.

    This makes both p and q true.

    P V q is also true, the V means "or", so if either p or q is true the statement is true

    p ∧ q means and, since both p and q are true, this is also true.

    The left and right arrows means "implies", so this is true if and only

    if the p is false or q is true (the sentence ((~p) vq) is true). Since Both p and q are true both the left and right arrows are true

    The last one means equal and is true if both p and q are the same, which they are, so this is also true,.

    All the given statements are true.,
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